TEST BANK for Introductory Statistics, 10th Edition by Prem Mann Chapter 1-15

TEST BANK for Introductory Statistics, 10th Edition by Prem Mann Chapter 1-15 Chapter 1-15

Chapter 1 Introduction 1.1 Statistics and Types of Statistics 1) Under descriptive statistics, we study: A) the methods to make decisions about one or more populations based on sample results B) the methods for organizing, displaying, and describing data C) how to describe the probability distribution D) samples to assist in decision making Answer: B Diff: 1 LO: 1.1.0 Demonstrate an understanding of the types of statistics.

Section: 1.1 Statistics and Types of Statistics Question Title: Chapter 01, Testbank Question 001 2) Under inferential statistics, we study: A) the methods to make decisions about one or more populations based on sample results B) the methods for organizing, displaying, and describing data C) how to describe the frequency distribution D) types of summary measures Answer: A Diff: 1 LO: 1.1.0 Demonstrate an understanding of the types of statistics.

Section: 1.1 Statistics and Types of Statistics Question Title: Chapter 01, Testbank Question 002 3) True or False: In statistics, a population consists of all subjects or objects whose characteristics are being studied.

Answer: TRUE Diff: 1 LO: 1.1.0 Demonstrate an understanding of the types of statistics.

Section: 1.1 Statistics and Types of Statistics Question Title: Chapter 01, Testbank Question 003 4) In statistics, we define a sample as: A) people living in one city only B) the target population C) all items under investigation D) a portion of the population Answer: D Diff: 1 LO: 1.1.0 Demonstrate an understanding of the types of statistics.

Section: 1.1 Statistics and Types of Statistics 1

Question Title: Chapter 01, Testbank Question 004 1.2 Basic Terms 1) An observation is a: A) graph observed for a data set B) value of a variable for a single element C) table prepared for a data set D) sample observed from the population Answer: B Diff: 1 LO: 1.2.0 Demonstrate an understanding of the basic terms used in statistics.

Section: 1.2 Basic Terms Question Title: Chapter 01, Testbank Question 005 2) An independent group wants to determine if the consumption of gasoline has increased due to changes in price. The group randomly selects 320 gas stations from 12 different states and collects data from the month of the year when gas is the cheapest and from the month of the year when gas is the most expensive. The data shows no significant difference in gas consumption between the two months. In this example, what is the variable being studied?

A) The 320 gas stations chosen B) The 12 different states C) The consumption of gasoline D) The price of gasoline Answer: C Diff: 1 LO: 1.2.0 Demonstrate an understanding of the basic terms used in statistics.

Section: 1.2 Basic Terms Question Title: Chapter 01, Testbank Question 006 3) A data set is a: A) set of decisions made about the population B) set of graphs and pictures C) collection of observations on one or more variables D) score collected from an element of the population Answer: C Diff: 1 LO: 1.2.0 Demonstrate an understanding of the basic terms used in statistics.

Section: 1.2 Basic Terms Question Title: Chapter 01, Testbank Question 007

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Use the following to answer the questions below.

The following table lists the temperatures (in degrees Fahrenheit) of essential workers entering a medical facility.

Essential Worker Sam Betty Lateshia Amani Connor Vincent Maria

Temperature (in degrees Fahrenheit) 99.4 98.0 98.9 98.3 97.6 99.6 98.0

4) What is the variable for this data set?

Answer: Temperature Diff: 1 LO: 1.2.0 Demonstrate an understanding of the basic terms used in statistics.

Section: 1.2 Basic Terms Question Title: Chapter 01, Testbank Question 008 5) How many observations are in this data set?

Answer: 7 Diff: 1 LO: 1.2.0 Demonstrate an understanding of the basic terms used in statistics.

Section: 1.2 Basic Terms Question Title: Chapter 01, Testbank Question 009 6) How many elements does this data set contain?

Answer: 7 Diff: 1 LO: 1.2.0 Demonstrate an understanding of the basic terms used in statistics.

Section: 1.2 Basic Terms Question Title: Chapter 01, Testbank Question 010 1.3 Types of Variables 1) A quantitative variable is the only type of variable that can: A) assume numeric values for which arithmetic operations make sense B) be graphed C) be used to prepare tables D) have no intermediate values Answer: A Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables 3

Question Title: Chapter 01, Testbank Question 011 2) A discrete variable is a variable that can assume: A) categorical values only B) a countable set of values only C) an uncountable set of values D) non-numerical values Answer: B Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables Question Title: Chapter 01, Testbank Question 012 3) A continuous variable is a variable that can assume: A) categorical values only B) a countable set of values only C) any value in an interval D) non-numerical values Answer: C Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables Question Title: Chapter 01, Testbank Question 013 4) A qualitative variable is a variable that: A) can assume numerical values B) cannot be graphed C) can assume an uncountable set of values D) cannot be measured numerically Answer: D Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables Question Title: Chapter 01, Testbank Question 014 5) Is the "size of a university's enrollment increase from last year to this year" an example of qualitative or quantitative data?

Answer: Quantitative Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables Question Title: Chapter 01, Testbank Question 015 6) Is the variable "lengths of top-ten hit songs" discrete or continuous?

Answer: Continuous Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables 4

Question Title: Chapter 01, Testbank Question 016 7) Classify the variable as discrete or continuous: Durations of your last 30 cell phone calls.

Answer: Continuous Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables Question Title: Chapter 01, Testbank Question 017 8) The two types of quantitative variables are continuous and ________.

Answer: discrete Diff: 1 LO: 1.3.0 Demonstrate an understanding of the types of variables used in statistics.

Section: 1.3 Types of Variables Question Title: Chapter 01, Testbank Question 018 1.4 Cross-Section Versus Time-Series Data 1) Time-series data are collected: A) on the same element for the same variable at different points in time B) on a variable that involves time, e.g., minutes, hours, weeks, months, etc.

C) for a qualitative variable D) on different elements for the same period of time Answer: A Diff: 1 LO: 1.4.0 Demonstrate an understanding of cross-section and time-series data.

Section: 1.4 Cross-Section Versus Time-Series Data Question Title: Chapter 01, Testbank Question 019 2) Cross-section data are collected: A) on the same variable for the same variable at different points in time B) on different elements at the same point in time C) for a qualitative variable D) on different elements for the same variable for different periods of time Answer: B Diff: 1 LO: 1.4.0 Demonstrate an understanding of cross-section and time-series data.

Section: 1.4 Cross-Section Versus Time-Series Data Question Title: Chapter 01, Testbank Question 020 3) Is the total insect population among 12 U.S. national parks in 2017 an example of time-series or cross-section data?

Answer: Cross-section Diff: 1 LO: 1.4.0 Demonstrate an understanding of cross-section and time-series data.

Section: 1.4 Cross-Section Versus Time-Series Data Question Title: Chapter 01, Testbank Question 021 5

4) Classify the following as cross-section or time-series data: Monthly telephone bill for each family in an apartments complex.

Answer: Cross-section data Diff: 2 LO: 1.4.0 Demonstrate an understanding of cross-section and time-series data.

Section: 1.4 Cross-Section Versus Time-Series Data Question Title: Chapter 01, Testbank Question 022 1.5

Population Versus Sample

1) In statistics, the population that is being studied is often referred to as the: A) studied population B) null population C) target population D) projected population Answer: C Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 023 2) In statistics, conducting a survey means: A) collecting information from elements of a sample B) making mathematical calculations C) drawing pictures and graphs D) none of these Answer: A Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 024 3) In statistics, conducting a census means: A) making decisions based on sample results B) checking if a variable is qualitative or quantitative C) collecting information from all members of the population D) collecting a sample with replacement Answer: C Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 025 4) A statistician wants to determine the total annual medical costs incurred by all U.S. states from 1995 to 2015 as a result of health problems related to smoking. She polls each of the 50 states annually to obtain health care expenditures, in dollars, on smoking-related illnesses. Does this study constitute a survey or a census. Explain.

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Answer: Census. She collected data from all 50 states in the population.

Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 026 5) A statistician wants to determine the average annual Gross National Product (GNP) for countries in Africa. He samples the 20 largest (in terms of population) African countries over 10 years, and gets their quarterly GNP results for each quarter of each year. The statistician is criticized because the sample is not representative. Explain why.

Answer: The statistician took the 20 largest countries. The sample must contain countries with different populations in almost the same proportion as they exist in the population.

Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 027 6) In statistics, a representative sample is a sample that: A) contains the characteristics of the population as closely as possible B) represents the results of a sample exactly C) contains all people living in an area D) contains elements collected with replacement Answer: A Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 028 7) The Ohio lottery involves selecting 5 numbers from 5 different, yet identical, bins. This is an example of sampling: A) with replacement B) without replacement Answer: A Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 029 8) The Megabucks lottery involves selecting 3 numbers from a single bin. This is an example of sampling: A) with replacement B) without replacement Answer: B Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 030 7

9) The following are all valid reasons why a census cannot be conducted except: A) the size of the population is quite large B) the population is too diverse C) the cost of collecting information from all members of the population would exceed the budget D) it is impossible to identify and access each member of the population Answer: B Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 031 10) A random sample is a sample drawn in such a way that: A) each member of the population has a 0.10 chance of being included in the sample B) all elements of a population are included C) some members of the population have no chance of being included in the sample D) each member of the population has some chance of being included in the sample Answer: D Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 032 11) Which of the following is not an example of a nonrandom or nonrepresentative sample?

A) Convenience sample B) Quota sample C) Cluster sample D) Judgment sample Answer: C Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 033 12) When a sample result is compared to the result we would have obtained by conducting a census, the difference between the two results that occurs by chance is called a ________.

Answer: sampling error Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 034

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13) Which of the following is not a name for the difference between a sample result and the result we would have obtained by conducting a census, that occurs by human mistakes?

A) Bias B) Nonsampling error C) Nonsystematic error D) Systematic error Answer: C Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 035 14) The list of members of the population that is used to select a sample is called the ________.

Answer: sampling frame Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 036 15) A local radio station conducts a survey on the proposed amendment to change the curfew hours. This is what type of nonsampling error?

A) Selection error B) Nonresponse error C) Response error D) Voluntary response error Answer: D Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 037 16) A survey was conducted by mail and 35% of the questionnaires were not returned. This is what type of nonsampling error?

A) Selection error B) Nonresponse error C) Response error D) Voluntary response error Answer: B Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 038

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17) A simple random sample is a sample drawn in such a way that: A) each member of the population has some chance of being included in the sample B) every tenth element of an arranged population is included C) each sample of the same size has an equal chance of being selected D) each member of the population has a 0.10 chance for being included in the sample Answer: C Diff: 1 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 039 18) Realizing that age may affect a person's response, the population under study was divided into different age groups (21-30, 31-40, 41-50, 51-60, and 61-70). Then, one sample, of the same size, is selected from each age group. This is what type of sampling technique?

A) Simple random sampling B) Systematic random sampling C) Stratified random sampling D) Cluster sampling Answer: C Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 040 19) The names of all 5,000 students in a high school are arranged alphabetically. To select 200 students from the list, k = 5000/200 = 25. The 25th student is chosen, and then the 50th, 75th, 100th, etc. This is what type of sampling technique?

A) Simple random sampling B) Systematic random sampling C) Stratified random sampling D) Cluster sampling Answer: B Diff: 2 LO: 1.5.0 Demonstrate an understanding of the difference between a population and a sample.

Section: 1.5 Population Versus Sample Question Title: Chapter 01, Testbank Question 041 1.6 Design of Experiments 1) True or False: A survey, or observational study, can be used to determine a cause-and-effect relationship between two variables.

Answer: FALSE Diff: 2 LO: 1.6.0 Demonstrate an understanding of the sources of data used in statistics.

Section: 1.6 Design of Experiments Question Title: Chapter 01, Testbank Question 042 2) Which method of research involves a treatment group?

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A) Designed experiment B) Survey C) Observational Study D) Convenience Study Answer: A Diff: 1 LO: 1.6.0 Demonstrate an understanding of the sources of data used in statistics.

Section: 1.6 Design of Experiments Question Title: Chapter 01, Testbank Question 043 3) A dummy pill that looks just like the real medicine is called a ________.

Answer: placebo Diff: 1 LO: 1.6.0 Demonstrate an understanding of the sources of data used in statistics.

Section: 1.6 Design of Experiments Question Title: Chapter 01, Testbank Question 044 4) In a double-blind experiment, who knows which patients are taking the real medicine and which patients are taking the placebo?

A) Only the patients B) Only the experimenters C) Both the patients and the experimenters D) Neither the patients nor the experimenters Answer: D Diff: 1 LO: 1.6.0 Demonstrate an understanding of the sources of data used in statistics.

Section: 1.6 Design of Experiments Question Title: Chapter 01, Testbank Question 045 5) Marcia is participating in a designed experiment testing a new migraine medicine, and she is receiving a placebo instead of the real medicine. Marcia indicates that the pill she is taking is decreasing the occurrence of migraines. What is this phenomenon called?

Answer: Placebo effect Diff: 2 LO: 1.6.0 Demonstrate an understanding of the sources of data used in statistics.

Section: 1.6 Design of Experiments Question Title: Chapter 01, Testbank Question 046 1.7 Summation Notation Use the following to answer the questions below.

The telephone bills for the past month for four families are $48, $65, $39, and $81.

1) The value of

is:

Answer: 233 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

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Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 047 2) The value of

is:

Answer: 14,611 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 048 3) The value of

2 is:

Answer: 54,289 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 049 4) The value of

is:

Answer: 213 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 050 Use the following to answer the questions below.

The test scores of five students are 85, 64, 95, 75, and 93.

5) The value of

is:

Answer: 412 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 051 6) The value of

is:

Answer: 34,620 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 052 7) The value of

2 is:

Answer: 169,744 Diff: 1 12

LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 053 8) The value of

is:

Answer: 362 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 054 Use the following to answer the questions below.

Consider the following five pairs of m and f values: m 6 9 7 13 7 9) The value of

f 3 5 5 6 8 is:

Answer: 42 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 055 10) The value of

is:

Answer: 232 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 056 11) The value of

is:

Answer: 384 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 057 12) The value of

is:

Answer: 159 Diff: 1 13

LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 058 13) The value of is: Answer: 2,164 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 059 14) The value of is: Answer: 1,370 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 060 15) The value of is: Answer: 1,015 Diff: 2 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 061 Use the following to answer the questions below.

Consider the following six pairs of x and y values: x 8 11 15 5 20 21 16) The value of

y 10 16 20 7 28 21 is:

Answer: 102 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 062 17) The value of

is:

Answer: 1,592 14

Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 063 18) The value of is: Answer: 34,802 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 064 19) The value of is: Answer: 27,712 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 065 20) The value of

is:

Answer: 1,276 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 066 21) The value of

is:

Answer: 2,030 Diff: 1 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 067 22) The value of is: Answer: 21,752 Diff: 2 LO: 1.7.0 Demonstrate an understanding of summation notation.

Section: 1.7 Summation Notation Question Title: Chapter 01, Testbank Question 068

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Introductory Statistics, 10e (Mann) Chapter 2 Organizing and Graphing Data 2.1

Organizing and Graphing Qualitative Data

1) Raw data are the data that: A) are presented in the form of a frequency table B) are recorded in the sequence in which they are collected C) are arranged in increasing order D) are arranged in a random order Answer: B Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 001 2) We obtain the relative frequency of a category by: A) dividing the frequency of that category by the sum of all frequencies B) multiplying the frequency of that category by 100 C) dividing the frequency of that category by 100 D) dividing the sum of all frequencies by the frequency of that category Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 002 3) We obtain the percentage of a category by: A) multiplying the frequency of that category by 100 B) multiplying the relative frequency of that category by 100 C) dividing the frequency of that category by 100 D) dividing the sum of all frequencies by the frequency of that category Answer: B Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 003

17

Use the following to answer the questions below.

The following data give the results of a sample survey. The letters A, B, and C represent the three categories.

A B

B B

A C

B A

B C

C C

A C

A A

C B

B B

4) Construct a frequency distribution table.

Answer: Chosen Option f A 6 B 8 C 6 Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 004 5) Calculate the relative frequencies and percentages for all categories.

Answer: Relative Chosen Option Frequency Percentage A 6/20 = 0.3 0.3(100) = 30 B 8/20 = 0.4 0.4(100) = 40 C 6/20 = 0.3 0.3(100) = 30 Sum = 1 Sum = 100% Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 005 6) What percentage of the elements in this sample belong to category B? A) 40% B) 30% C) 70% D) 60% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 006

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7) What percentage of the elements in this sample belong to categories A or B? A) 70% B) 40% C) 30% D) 60% Answer: A Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 007 8) Draw a pie chart for the percentage distribution.

Answer:

Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 008 9) The number of The following table gives the frequency distribution of the highest degrees held by 25 professionals.

Highest Degree Bachelor's Master's Doctorate

f 14 8 3

The number of persons with a Master's degree as their highest degree is: Answer: 8 Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 009

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10) The following table gives the frequency distribution of the highest degrees held by 25 professionals.

Highest Degree Bachelor's Master's Doctorate

f 14 7 4

The number of persons who possess a Doctorate is: Answer: 4 Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 010 11) The following table gives the frequency distribution of the highest degrees held by 25 professionals.

Highest Degree Bachelor's Master's Doctorate

f 12 9 4

The percentage of persons with a Bachelor's degree as the highest degree is: A) 48% B) 36% C) 16% D) 52% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 011

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12) The following table gives the frequency distribution of the highest degrees held by 25 professionals.

Highest Degree Bachelor's Master's Doctorate

f 15 9 1

The percentage of persons who hold a Doctorate is: A) 4% B) 36% C) 60% D) 40% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 012 13) The following table gives the frequency distribution of the highest degrees held by 25 professionals.

Highest Degree Bachelor's Master's Doctorate

f 13 7 5

The percentage of persons who do not hold a Doctorate is: A) 80% B) 20% C) 52% D) 48% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 013

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14) The following table gives the frequency distribution of opinions of 50 persons in regard to an issue.

Opinion In favor Against No opinion

f 24 19 7

The percentage of persons who have no opinion is: A) 14% B) 48% C) 38% D) 86% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 014 15) The following table gives the frequency distribution of opinions of 50 persons in regard to an issue.

Opinion In favor Against No opinion

f 17 18 15

The relative frequency, expressed to two decimal places, of the "Against" category is: Answer: 0.36 Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 015

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16) The following table gives the frequency distribution of opinions of 50 persons in regard to an issue.

Opinion In favor Against No opinion

f 17 19 14

The sample size is: Answer: 50 Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 016 17) The following table gives the frequency distribution of opinions of 50 persons in regard to an issue.

Opinion In favor Against No opinion

f 23 16 11

The percentage of persons who are either against this issue or have no opinion is: A) 54% B) 22% C) 32% D) 46% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 017

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18) The following table gives the frequency distribution of opinions of 50 persons in regard to an issue.

Opinion In favor Against No opinion

f 22 19 9

The percentage of persons who are either in favor of this issue or have no opinion is: A) 62% B) 38% C) 82% D) 56% Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 018 Use the following to answer the questions below.

The following data show the type of roof covering of 40 houses in a neighborhood. Here, A refers to asphalt shingles, M refers to metal, S refers to slate, T refers to tile, and W refers to wood.

W M T A

A M M A

A M M A

T W M A

S M M W

A A T A

A A A A

M A A A

19) Construct a frequency distribution table.

Answer: Chosen Option f A 23 M 9 S 1 T 4 W 3 Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 019

24

A A A T

A A A A

20) Calculate the relative frequencies and percentages for all categories.

Answer: Roof Covering Relative Frequency Percentage A 23/40 = 0.575 0.575(100) = 57.5 M 9/40 = 0.225 0.225(100) = 22.5 S 1/40 = 0.025 0.025(100) = 2.5 T 4/40 = 0.100 0.100(100) = 10.0 W 3/40 = 0.075 0.075(100) = 7.5 Sum = 1 Sum = 100% Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 020 21) What percentage of the houses in this neighborhood have metal or tile roof coverings?

A) 32.5% B) 25% C) 10% D) 22.5% Answer: A Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 021 22) Make a Pareto chart for the relative frequency distribution.

Answer:

Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 022

25

23) You ask 34 people what kind of pet they own. Seven people have dogs, five have cats, three have birds, and the remainder have no pets. The relative frequency of those who have no pets, rounded to three decimal places, is: Answer: 0.559 Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 086 24) Fifteen programmers were asked what computer language was used in their first programming class. The raw data appears below: Java C++ Fortran

Visual Basic C++ Visual Basic

Visual Basic Fortran C++

Java Java Visual Basic

Fortran Visual Basic Visual Basic

The percentage of people, rounded to two decimal places, who did not answer "Fortran" is: Answer: 80.00% Diff: 2 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 087

26

Use the following to answer the questions below.

Here is a dot plot of the daily high temperature (in Fahrenheit) from a sample of 25 U.S. cities:

25) During a local basketball camp, the participants scored a total of 886 points, of which 485 points were scored by two-point field goals, 179 points by three-point field goals, and 222 points by free-throw goals. Find the pie chart that better describes the data.

A)

B)

C)

27

D)

Answer: A Diff: 1 LO: 2.1.0 Demonstrate how to organize and graph qualitative data.

Section: 2.1 Organizing and Graphing Qualitative Data Question Title: Chapter 02, Testbank Question 100 2.2

Organizing and Graphing Quantitative Data

1) In a frequency distribution, the classes should always: A) be overlapping B) have the same frequency C) have a width of 10 D) be non-overlapping Answer: D Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 023 2) The number of classes in a frequency distribution for a quantitative data set depends on the size of the data set. In general, the: A) larger the data set, the larger the number of classes B) larger the data set, the smaller the number of classes C) number of classes should be equal to the number of values in the data set divided by 5 D) smaller the data set, the larger the number of classes Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 024

28

3) When preparing a frequency distribution for a quantitative data set, the lower limit of the first class should always be: A) a number that is greater than the smallest value in the data set B) equal to 10 C) a number that is less than or equal to the smallest value in the data set D) equal to zero Answer: C Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 025 4) A distribution curve that is right-skewed has: A) both tails of the same length B) a longer tail on the left side C) a shorter tail on the right side D) a longer tail on the right side Answer: D Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 026 5) A symmetric distribution curve: A) has a longer tail on the right side B) has a longer tail on the left side C) is identical on both sides of the central point D) is triangular in shape Answer: C Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 027 6) The procedure for obtaining the midpoint of a class is to: A) add the lower limit to the upper limit of the previous class B) subtract the lower limit from the upper limit C) multiply the sum of the two class limits by 2 D) divide the sum of the two class limits by 2 Answer: D Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 028

29

7) The procedure for obtaining the relative frequency of a class is to: A) divide the frequency of that class by the sum of all frequencies B) multiply the frequency of that class by 100 C) divide the frequency of that class by 100 D) divide the sum of all frequencies by the frequency of that class Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 029 8) The procedure for obtaining the percentage for a class is to: A) multiply the frequency of that class by 100 B) multiply the relative frequency of that class by 100 C) divide the relative frequency of that class by 100 D) divide the sum of all frequencies by 100 Answer: B Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 030 9) In a frequency histogram, the frequency of a class is given by the: A) height of the corresponding bar B) width of the corresponding bar C) height multiplied by the width of the corresponding bar D) height divided by the width of the corresponding bar Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 031 10) We can construct a frequency histogram for: A) qualitative data only B) any kind of data C) qualitative and quantitative data D) quantitative data Answer: D Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 032

30

11) In a frequency distribution, the correct notation for the sum of the frequencies is: A) B) f C) x D) y Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 033 12) A uniform or rectangular histogram has: A) a longer tail on the right side B) a longer tail on the left side C) shorter tails on both sides D) the same frequency for each class Answer: D Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 034 13) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 4 5 12 9

The number of classes in this frequency table is: Answer: 4 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 035

31

14) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 2 6 15 7

The width of each class in this frequency table is: Answer: 10 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 036 15) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 1 5 10 14

The midpoint of the fourth class is: Answer: 95.5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 037 16) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 3 6 10 11

The lower boundary of the first class is: Answer: 60.5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 038 32

17) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 3 6 11 10

The upper boundary of the third class is: Answer: 90.5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 039 18) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 3 5 10 12

The sample size is: Answer: 30 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 040

33

19) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 2 5 15 8

The relative frequency of the second class, rounded to three decimal places, is: Answer: 0.167 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 041 20) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 4 7 10 9

The percentage of students who scored 80 or less on the test, rounded to two decimal places, is: A) 36.67% B) 63.33% C) 70.00% D) 56.67% Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 042

34

21) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 3 8 12 7

The lower limit of the fourth class is: Answer: 91 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 043 22) The following table gives the frequency distribution of test scores for a math class of 30 students.

Score 61 to 70 71 to 80 81 to 90 91 to 100

f 4 7 13 6

The upper limit of the fourth class is: Answer: 100 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 044

35

23) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 33 49 82 115 131 90

The number of classes in this frequency table is: Answer: 6 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 045 24) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 26 47 73 117 132 105

The width of each class in this frequency table is: Answer: 100 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 046

36

25) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 36 55 73 101 136 99

The midpoint of the second class is: Answer: 1050.5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 047 26) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 31 47 82 107 141 92

The lower boundary of the fifth class is: Answer: 1300.5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 048

37

27) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 27 50 82 103 131 107

The upper boundary of the fourth class is: Answer: 1300.5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 049 28) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 32 49 82 110 130 97

The sample size is: Answer: 500 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 050

38

29) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 30 52 77 105 127 109

The relative frequency of the sixth class, rounded to three decimal places, is: Answer: 0.218 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 051 30) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 27 48 81 112 129 103

The percentage of families who paid a rent of $1100 or less per month, rounded to one decimal place, is: A) 15.0% B) 31.2% C) 25.8% D) 85% Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 052

39

31) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 27 51 78 117 129 98

The lower limit of the third class is: Answer: 1101 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 053 32) The following table gives the frequency distribution of rents paid per month by 500 families selected from a city.

Rent 901 to 1000 1001 to 1100 1101 to 1200 1201 to 1300 1301 to 1400 1401 to 1500

f 36 51 73 115 133 92

The upper limit of the second class is: Answer: 1100 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 054

40

33) The following table gives the frequency distribution of the number of telephones owned by a sample of 50 households selected from a city.

Number of Cellphones Owned 0 1 2 3 4

f 0 19 16 4 11

The relative frequency of the second class, rounded to two decimal places, is: Answer: 0.38 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 055 34) The following table gives the frequency distribution of the number of telephones owned by a sample of 50 households selected from a city.

Number of Cellphones Owned 0 1 2 3 4

f 3 20 16 6 5

The number of households which own more than one cellphone is: Answer: 27 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 056

41

35) The following table gives the frequency distribution of the number of telephones owned by a sample of 50 households selected from a city.

Number of Cellphones Owned 0 1 2 3 4

f 0 19 14 6 11

The percentage of households which own three or more cellphones is: A) 34% B) 22% C) 62% D) 17% Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 057 36) The following table gives the frequency distribution of the number of telephones owned by a sample of 50 households selected from a city.

Number of Cellphones Owned 0 1 2 3 4

f 3 20 15 6 6

The number of households which own one or two cellphones is: Answer: 35 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 058

42

37) The following table gives the frequency distribution of the number of telephones owned by a sample of 50 households selected from a city.

Number of Cellphones Owned 0 1 2 3 4

f 4 19 14 5 8

The percentage of households which do not own a Cellphone is: A) 8% B) 92% C) 46% D) 26% Answer: A Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 059 38) The following table gives the frequency distribution of the number of telephones owned by a sample of 50 households selected from a city.

Number of Cellphones Owned 0 1 2 3 4

f 2 19 14 6 9

Would the graph of this distribution be a bar graph or a histogram?

A) bar graph B) histogram Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 060

43

39) The following table gives the frequency distribution of the number of rooms for a sample of 120 apartments.

Number of Rooms 2 3 4 5 6 7 8

f 9 9 27 24 30 16 5

The relative frequency of the fourth class, rounded to two decimal places, is: Answer: 0.20 Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 061 40) The following table gives the frequency distribution of the number of rooms for a sample of 120 apartments.

Number of Rooms 2 3 4 5 6 7 8

f 9 8 26 22 28 16 11

The percentage of apartments that have three or fewer rooms, rounded to one decimal place, is: A) 14.2% B) 6.7% C) 26.0% D) 35.8% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 062

44

41) The following table gives the frequency distribution of the number of rooms for a sample of 120 apartments.

Number of Rooms 2 3 4 5 6 7 8

f 8 10 26 23 27 17 9

The percentage of apartments that contain five or more rooms, rounded to one decimal place, is: A) 63.3% B) 19.2% C) 36.7% D) 44.2% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 063 42) The following table gives the frequency distribution of the number of rooms for a sample of 120 apartments.

Number of Rooms 2 3 4 5 6 7 8

f 8 12 27 23 26 13 11

The number of apartments that contain four or five rooms is: Answer: 49 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 064

45

43) The following table gives the frequency distribution of the number of rooms for a sample of 120 apartments.

Number of Rooms 2 3 4 5 6 7 8

f 7 9 26 23 29 14 12

The relative frequency of the fifth class, rounded to two decimal places, is: Answer: 0.24 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 065 44) The following table gives the frequency distribution of the number of rooms for a sample of 120 apartments.

Number of Rooms 2 3 4 5 6 7 8

f 6 11 25 23 28 15 12

The number of classes for this frequency distribution table is: Answer: 7 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 066

46

Use the following to answer the questions below.

The following data give the number of perfect games (score of 300) bowled prior to a local tournament by the bowlers participating in the tournament.

4 4

0 1

0 0

2 0

3 2

1 6

1 4

2 2

1 0

0 0

3 1

5 3

45) Construct a frequency distribution table for these data using single-valued classes.

Answer: Perfect Games f 0 7 1 5 2 5 3 3 4 3 5 1 6 1 Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 067 46) Calculate the relative frequency and percentage for each class.

Answer: Perfect Games Relative Frequency Percentage 0 7/25 = 0.28 0.28(100) = 28 1 5/25 = 0.20 0.20(100) = 20 2 5/25 = 0.20 0.20(100) = 20 3 3/25 = 0.12 0.12(100) = 12 4 3/25 = 0.12 0.12(100) = 12 5 1/25 = 0.04 0.04(100) = 4 6 1/25 = 0.04 0.04(100) = 4 Sum = 1 Sum = 100% Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 068

47

2

47) What is the relative frequency of bowlers who bowled less than 3 perfect games prior to the tournament?

Answer: 0.68 Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 069 48) Draw a bar graph for the frequency distribution of the data.

Answer:

Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 070 49) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 15 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 30 88 149 174 189 200

The cumulative relative frequency of the fourth class, rounded to three decimal places, is: Answer: 0.870 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 072

48

50) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 15 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 26 81 143 167 190 200

The sample size is: Answer: 200 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 072 51) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 15 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 24 87 149 170 190 200

The cumulative percentage for the second class, rounded to one decimal place, is: A) 43.5% B) 55.5% C) 56.5% D) 44.5% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 073

49

52) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 15 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 29 80 147 170 188 200

The percentage of families with an income of less than $55,000, rounded to one decimal place, is: A) 73.5% B) 40.0% C) 26.5% D) 60% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 074 53) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 15 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 28 87 145 170 191 200

The percentage of families with an income of $70,000 or more, rounded to one decimal place, is: A) 15.0% B) 85.0% C) 95.5% D) 4.5% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 075

50

54) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 15 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 30 86 145 171 188 200

The number of families with an income of $40,000 or less is: A) 86 B) 30 C) 145 D) cannot be determined Answer: D Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 076 55) The following table gives the cumulative frequency distribution of annual incomes (in thousands of dollars) for a sample of 200 families selected from a city.

Income ($1000's) 15 to less than 25 15 to less than 40 5 to less than 55 15 to less than 70 15 to less than 85 15 to less than 100

f 23 82 138 171 185 200

The number of families with an income of $85,000 or more is: Answer: 15 Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 077

51

56) The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

Time (minutes) 0 to less than 10 0 to less than 20 0 to less than 30 0 to less than 40 0 to less than 50 0 to less than 60

f 63 160 221 287 360 400

The sample size is: Answer: 400 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 078 57) The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

Time (minutes) 0 to less than 10 0 to less than 20 0 to less than 30 0 to less than 40 0 to less than 50 0 to less than 60

f 63 160 216 285 346 400

The percentage of persons who commute for less than 30 minutes, rounded to two decimal places, is: A) 54.00% B) 40.00% C) 71.25% D) 60.0% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 079

52

58) The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

Time (minutes) 0 to less than 10 0 to less than 20 0 to less than 30 0 to less than 40 0 to less than 50 0 to less than 60

f 62 160 220 285 354 400

The cumulative relative frequency of the fourth class, rounded to four decimal places, is: Answer: 0.7125 Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 080 59) The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

Time (minutes) 0 to less than 10 0 to less than 20 0 to less than 30 0 to less than 40 0 to less than 50 0 to less than 60

f 66 153 229 277 345 400

The percentage of persons who commute for 40 or more minutes, rounded to two decimal places, is: A) 30.75% B) 69.25% C) 13.75% D) 86.25% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 081

53

60) The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

Time (minutes) 0 to less than 10 0 to less than 20 0 to less than 30 0 to less than 40 0 to less than 50 0 to less than 60

f 65 155 224 291 356 400

The percentage of persons who commute for less than 50 minutes, rounded to two decimal places, is: A) 89.00% B) 11.00% C) 72.75% D) 27.25% Answer: A Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 082 61) The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

Time (minutes) 0 to less than 10 0 to less than 20 0 to less than 30 0 to less than 40 0 to less than 50 0 to less than 60

f 61 157 226 284 347 400

The number of persons who commute for 20 or more minutes is: Answer: 243 Diff: 2 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 083

54

Use the following to answer the questions below.

A highway patrolman records the following speeds (in mph) for 25 cars that pass through his radar within a five-minute interval. Here is the histogram of that data:

62) What is the width of each class?

Answer: 5 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 088 63) How many drivers had a speed that falls in the fourth interval?

Answer: 10 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 089 64) The relative frequency of drivers whose speed is less than 55 mph, rounded to two decimal places, is?

Answer: 0.40 Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 090

55

65) The speed limit on this street is 60 mph. What percentage of drivers are traveling above the speed limit?

Answer: 20% Diff: 1 LO: 2.2.0 Demonstrate how to organize and graph quantitative data.

Section: 2.2 Organizing and Graphing Quantitative Data Question Title: Chapter 02, Testbank Question 091 2.3

Stem-and-Leaf Displays

1) In a stem-and-leaf display of two-digit numbers, the stem for 3 will be: Answer: 0 Diff: 1 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 084 2) In a stem-and-leaf display of two-digit numbers, the leaf for 84 will be: Answer: 4 Diff: 1 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 085 Use the following to answer the questions below.

Consider the following stem-and-leaf display of two-digit numbers.

3) What is the smallest value in this data set?

Answer: 11 Diff: 1 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 092

56

4) How many values are in this data set?

Answer: 7 Diff: 1 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 093 5) What is the sum of the values in the bottom two rows?

Answer: 79 Diff: 1 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 094 6) Consider the following stem-and-leaf display, which has only two stems. Prepare a split stem-and-leaf display for the data. Split each stem into two parts. The first part should contain the leaves 0 through 4, and the second part should contain the leaves 5 through 9.

Answer:

Diff: 2 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 095

57

7) The following data give the monthly utility bills (in dollars) for a sample of 50 customers.

Construct a stem-and-leaf display for these data using the last two digits as leaves.

Answer:

Diff: 2 LO: 2.3.0 Demonstrate how to construct a stem-and-leaf display.

Section: 2.3 Stem-and-Leaf Displays Question Title: Chapter 02, Testbank Question 096

58

2.4

Dotplots

Use the following to answer the questions below.

Here is a dot plot of the daily high temperature (in Fahrenheit) from a sample of 25 U.S. cities:

1) Which daily high temperature has the highest frequency?

Answer: 74 Diff: 1 LO: 2.4.0 Demonstrate an understanding of dotplots.

Section: 2.4 Dotplots Question Title: Chapter 02, Testbank Question 097 2) How many cities had a daily high temperature of 72?

Answer: 0 Diff: 1 LO: 2.4.0 Demonstrate an understanding of dotplots.

Section: 2.4 Dotplots Question Title: Chapter 02, Testbank Question 098 3) Does this data set contain an outlier?

Answer: no Diff: 1 LO: 2.4.0 Demonstrate an understanding of dotplots.

Section: 2.4 Dotplots Question Title: Chapter 02, Testbank Question 099

© 2021 John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course.

Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

59

Introductory Statistics, 10e (Mann) Chapter 3 Numerical Descriptive Measures 3.1

Measures of Center for Ungrouped Data

1) The mean of a data set is the: A) value that divide a ranked data set in two equal halves B) sum of all values divided by the number of values C) difference between the maximum and minimum values D) average of the deviations of values from the average Answer: B Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 001 2) The median of a data set is the: A) value that divides a ranked data set in two equal halves B) value that occurs with maximum frequency C) sum of all values divided by the number of values D) average of the deviations of values from the average Answer: A Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 002 3) You just dropped an outlier from the upper end of a data set. The value of the mean of the new data set: A) is now more than the value of the mean of the original data set B) is now less than the value of the mean of the original data set C) is now equal to the value of the mean of the original data set D) can't be determined from the given information Answer: B Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 003

60

4) An outlier influences which of the following summary measures the most?

A) mean B) median C) mode D) median and mode Answer: A Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 004 5) Which of the following is the only measure that can be calculated for qualitative data?

A) mean B) range C) mode D) median Answer: C Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 005 6) If the histogram of a data set is skewed to the right with one peak, which of the following is true?

A) the values of the mean, median, and mode are the same B) the mean is greater than the median, which is greater than the mode C) the mean and median are equal, but the mode is different D) the mode is greater than the median, which is greater than the mean Answer: B Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 006

61

7) If a distribution is symmetric with one peak, then: A) the values of the mean, median, and mode are identical B) the mean is greater than the median, which is greater than the mode C) the values of the mean and median are equal but the mode is different D) the mode is greater than the median, which is greater than the mean Answer: A Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 007 8) The annual salaries of six employees of a company are as follows:

The mean salary of these employees is: Answer: $38,833.33 Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 008 9) The annual salaries of six employees of a company are as follows:

The median salary of these employees is: Answer: $40,500 Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 009 10) The annual salaries of six employees of a company are as follows:

The mode of the salaries of these employees is: Answer: $22,000 Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 010 11) The points scored by a team in five basketball games are as follows:

62

The mean for this data set is: Answer: 103 Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 011 12) The points scored by a team in five basketball games are as follows:

The median for this data set is: Answer: 107 Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 012 13) The points scored by a team in five basketball games are as follows:

The mode of this data set is: A) 57 B) 67 C) 117 D) this data set does not have a unique mode Answer: D Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 013

63

14) The mean age of five members of a family is 40 years. The ages of four of the five members are 61, 60, 27, and 23. The age of the fifth member is: A) 32 B) 27 C) 29 D) 35 Answer: C Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 014 15) The scores of eight students taking a mathematics test are 87, 93, 76, 5, 84, 90, 95, and 70. The best measure of central tendency in this case is the: A) median B) mean C) mode D) weighted mean Answer: A Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 015 16) The scores of 20 students on a mathematical game are 82, 81, 65, 14, 64, 15, 75, 100, 63, 59, 58, 61, 70, 99, 80, 53, 54, 62, 71 and 73. The best measure of central tendency in this case is the: A) weighted mean B) mean C) mode D) trimmed mean Answer: D Diff: 1 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 016 17) The scores of 20 students on a mathematical game are 89, 83, 66, 5, 64, 55, 75, 100, 63, 59, 58, 61, 70, 74, 80, 43, 54, 62, 71 and 73. Find the 10% trimmed mean.

Answer: 66.75 Diff: 2 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 017 18) A serving of a nutrition bar contains fat, carbohydrates and protein. The following table lists the number of grams of each and the number of calories per gram.

Ingredient

Number of grams

Number of calories 64

Fat Carbohydrates Protein

12 23 6

per gram 9 4 4

Calculate the weighted mean that represents the average number of calories per gram for this nutrition bar with calories as the x variable and fat, carbohydrates, and protein as w.

Answer: 5.46 Diff: 2 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 018 19) The mean score of 15 male students taking a test is 72 and the mean score of 12 female students taking the same test is 73. The combined mean score of the 27 male and female students is: A) 67.07 B) 77.81 C) 72.44 D) 75.13 Answer: C Diff: 2 LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data Question Title: Chapter 03, Testbank Question 019

65

3.2

Measures of Dispersion for Ungrouped Data

1) The summary measure obtained by taking the difference between the minimum and maximum values in a data set is called the: A) median B) standard deviation C) variance D) range Answer: D Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 020 2) Outliers influence which of the following summary measures?

A) standard deviation B) interquartile range C) range D) A and B only E) A and C only Answer: E Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 021 3) The value of the standard deviation of a data set is: A) never zero B) never negative C) never positive D) always positive Answer: B Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 022 4) The quantity x - μ is called the: A) standard deviation B) deviation of x from the mean C) variance D) range Answer: B Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 023 66

5) The measurement units of the standard deviation are always: A) the same as those of the original data B) the square of the measurement units of the original data C) units D) deviations Answer: A Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 024 6) The procedure for obtaining the variance from the standard deviation is to: A) take the square root of the standard deviation B) square the standard deviation C) divide the standard deviation by 2 D) multiply the standard deviation by 2 Answer: B Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 025 7) A numerical measure calculated for population data is called: Answer: parameter Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 026 8) The annual salaries of six employees of a company are as follows:

The range of these salaries is: Answer: $35,000 Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 027

67

9) The annual salaries of six employees of a company are as follows:

The variance of these salaries, rounded to the nearest dollar, is: Answer: $209,066,667 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 028 10) The annual salaries of six employees of a company are as follows:

The standard deviation of these salaries, rounded to the nearest dollar, is: Answer: $23,754 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 029 11) The coefficient of variation is a measure of: A) average B) median C) relative variability D) weighted mean Answer: C Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 030 12) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The range of these temperatures is: Answer: 35 Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 031

68

13) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The variance of these temperatures, rounded to three decimals, is: Answer: 135.571 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 032 14) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The standard deviation, rounded to three decimals, of these temperatures is: Answer: 13.086 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 033 15) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The coefficient of variation, rounded to three decimals, of these temperatures is: Answer: 0.132 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 034 16) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The range of these times is: Answer: 24 Diff: 1 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 035 69

17) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The variance of these times, rounded to three decimal places, is: Answer: 66.778 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 036 18) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The standard deviation of these times, rounded to three decimal places, is: Answer: 8.095 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 037 19) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The coefficient of variation, rounded to three decimals, of these temperatures is: Answer: 0.190 Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 038

70

20) Let s1, s2, and s3 be the standard deviations of the bell-shaped graphs I, II, and III, respectively.

Place them in increasing order.

A) B) C) D) Answer: B Diff: 2 LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data Question Title: Chapter 03, Testbank Question 039 3.3

Mean, Variance, and Standard Deviation for Grouped Data

1) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

Waiting Time 10 to less than 16 16 to less than 22 22 to less than 28 28 to less than 34 34 to less than 40 40 to less than 46 The value of

f 6 10 20 6 7 1

is:

Answer: 1256 Diff: 1 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 040

71

2) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

Waiting Time 10 to less than 16 16 to less than 22 22 to less than 28 28 to less than 34 34 to less than 40 40 to less than 46

f 6 10 16 10 7 1

The value of is: Answer: 35,666 Diff: 1 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 041 3) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

Waiting Time 10 to less than 16 16 to less than 22 22 to less than 28 28 to less than 34 34 to less than 40 40 to less than 46

f 6 10 15 11 7 1

The mean waiting time, rounded to two decimal places, is: A) 25.72 minutes B) 8.33 minutes C) 30.01 minutes D) 9.72 minutes Answer: A Diff: 2 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 042

72

4) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

Waiting Time 10 to less than 16 16 to less than 22 22 to less than 28 28 to less than 34 34 to less than 40 40 to less than 46

f 6 10 18 8 7 1

The variance of waiting times, rounded to two decimal places, is: Answer: 57.91 Diff: 2 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 043 5) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

Waiting Time 10 to less than 16 16 to less than 22 22 to less than 28 28 to less than 34 34 to less than 40 40 to less than 46

f 6 10 17 9 7 1

The standard deviation of waiting times, rounded to two decimal places, is: A) 7.65 minutes B) 7.57 minutes C) 8.64 minutes D) 8.55 minutes Answer: A Diff: 2 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 044

73

6) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

Price 20 to less than 30 30 to less than 40 40 to less than 50 50 to less than 60 60 to less than 70 The value of

f 4 7 9 7 3

is:

Answer: 1330 Diff: 1 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 045 7) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

Price 20 to less than 30 30 to less than 40 40 to less than 50 50 to less than 60 60 to less than 70

f 4 7 12 4 3

The value of is: Answer: 60,150 Diff: 1 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 046

74

8) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

Price 20 to less than 30 30 to less than 40 40 to less than 50 50 to less than 60 60 to less than 70

f 4 7 10 6 3

The mean price of the cellphone cases, rounded to two decimal places, is: Answer: $44.00 Diff: 1 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 047 9) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

Price 20 to less than 30 30 to less than 40 40 to less than 50 50 to less than 60 60 to less than 70

f 4 7 13 3 3

The variance of the prices of the cellphone cases, rounded to two decimal places, is: Answer: 122.67 Diff: 2 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 048

75

10) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

Price 20 to less than 30 30 to less than 40 40 to less than 50 50 to less than 60 60 to less than 70

f 4 7 12 4 3

The standard deviation of the prices of the cellphone cases, rounded to two decimal places, is: Answer: $11.28 Diff: 2 LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data Question Title: Chapter 03, Testbank Question 049 3.4

Use of Standard Deviation

1) According to Chebyshev's theorem, the minimum percentage of values that fall within 2 standard deviations of the mean is: A) 72% B) 77% C) 73% D) 75% Answer: D Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 050 2) According to Chebyshev's theorem, the minimum percentage of values that fall within 4.4 standard deviations of the mean is: A) 92.83% B) 96.33% C) 94.83% D) 91.83% Answer: C Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 051

76

3) Chebyshev's theorem is applicable to: A) any bell-shaped distribution B) a skewed distribution C) a multimodal distribution D) A and B both E) A, B and C Answer: E Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 052 4) The empirical rule is applicable to: A) a bell-shaped distribution B) a skewed distribution only C) A and B only D) None of the above Answer: A Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 053 5) According to the empirical rule, the percentage of values that fall within one standard deviation of the mean is approximately: A) 63% B) 72% C) 68% D) 59% Answer: C Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 054 6) According to the empirical rule, the percentage of values that fall within two standard deviations of the mean is approximately: A) 93% B) 95% C) 94% D) 91% Answer: B Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 055 77

7) According to the empirical rule, the percentage of values that fall within three standard deviations of the mean is approximately: A) 99.4% B) 99.7% C) 97.9% D) 97.3% Answer: B Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 056 8) According to the empirical rule, the percentage of values that fall outside two standard deviations of the mean is approximately: A) 5% B) 9% C) 7% D) 4% Answer: A Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 057 9) The mean age of all high school teachers in City A is 42 years and the standard deviation is 6 years. According to Chebyshev's theorem, the percentage of teachers in City A who are 24 to 60 years old is at least: A) 88.89% B) 77.78% C) 84.39% D) 90.89% Answer: A Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 058

78

10) The mean age of all high school teachers in New York state is 40 years and the standard deviation is 6 years. According to Chebyshev's theorem, the percentage of teachers in City B who are 22 to 58 years old is at least: A) 88.89% B) 77.78% C) 84.39% D) 90.89% Answer: A Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 059 11) The ages of all high school teachers in City C have a bell-shaped distribution with a mean of 38 years and a standard deviation of 4 years. According to the empirical rule, the percentage of teachers in City C who are 34 to 42 years old is approximately: A) 75% B) 68% C) 95% D) 62% Answer: B Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 060 12) The ages of all high school teachers in City D have a bell-shaped distribution with a mean of 46 years and a standard deviation of 8 years. According to the empirical rule, the percentage of teachers in City D who are 22 to 70 years old is approximately: A) 99.4% B) 97.9% C) 98.3% D) 99.7% Answer: D Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 061

79

13) The ages of all high school teachers in City E have a bell-shaped distribution with a mean of 40 years and a standard deviation of 4 years. According to the empirical rule, the percentage of teachers in City E who are 32 to 48 years old is approximately: A) 97% B) 94% C) 89% D) 95% Answer: D Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 062 14) The mean income of all MBA degree holders working in a city is $71,000 per year and the standard deviation of their incomes is $6000 per year. According to Chebyshev's theorem, the percentage of MBA degree holders, working in Los Angeles, with an annual income of $53,000 to $89,000 is at least: A) 77.78% B) 89,000% C) 53,000% D) 88.89% Answer: D Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 063 15) The mean income of all MBA degree holders working in a city is $85,000 per year and the standard deviation of their incomes is $4500 per year. According to Chebyshev's theorem, the percentage of MBA degree holders, working in Los Angeles, with an annual income of $78,250 to $91,750 is at least: A) 55.56 B) 25.93 C) 51.06 D) 57.56 Answer: A Diff: 2 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 064

80

16) The annual incomes of all MBA degree holders working in a city have a bell-shaped distribution with a mean of $72,000 and a standard deviation of $5000. According to the empirical rule, the percentage of MBA degree holders working in this city who have an annual income of $67,000 to $77,000 is approximately: A) 86% B) 68% C) 64% D) 89% Answer: B Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 065 17) The annual incomes of all MBA degree holders working in a city have a bell-shaped distribution with a mean of $66,000 and a standard deviation of $4000. According to the empirical rule, the percentage of MBA degree holders working in this city who have an annual income of $54,000 to $78,000 is approximately: A) 97.9% B) 99.4% C) 94.9% D) 99.7% Answer: D Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 066 18) The annual incomes of all MBA degree holders working in a city have a bell-shaped distribution with a mean of $70,000 and a standard deviation of $10,000. According to the empirical rule, the percentage of MBA degree holders working in this city who have an annual income of $50,000 to $90,000 is approximately: A) 75% B) 95% C) 88% D) 97% Answer: B Diff: 1 LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation Question Title: Chapter 03, Testbank Question 067

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3.5

Measures of Position

1) The quartiles divide a ranked data set into: A) 2 equal parts B) 4 equal parts C) 100 equal parts D) 10 equal parts Answer: B Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 068 2) The value of the third quartile for a data set is 65. This means that: A) 25% of the values in that data set are smaller than 65 B) 75% of the values in that data set are smaller than 65 C) 75% of the values in that data set are greater than 65 D) 50% of the values in that data set are greater than 65 Answer: B Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 069 3) The value of the 45th percentile for a data set is 52. This means that: A) 55% of the values in that data set are smaller than 52 B) 45% of the values in that data set are greater than 52 C) 45% of the values in that data set are smaller than 52 D) 52% of the values in that data set are greater than 52 Answer: C Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 070 4) The percentile rank of a value in a data set is 58. This means that: A) 58% of the values in that data set are greater than that value B) 58% of the values in that data set are greater than 58 C) 42% of the values in that data set are smaller than that value D) 58% of the values in that data set are smaller than that value Answer: D Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 071

82

5) The waiting times (in minutes) for 11 customers at a supermarket are:

The first quartile for these data is: Answer: 6 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 072 6) The waiting times (in minutes) for 11 customers at a supermarket are:

The second quartile for these data is: Answer: 8 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 073 7) The waiting times (in minutes) for 11 customers at a supermarket are:

The third quartile for these data is: Answer: 12 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 074 8) The waiting times (in minutes) for 11 customers at a supermarket are:

The approximate value of the 60th percentile for these data is: Answer: 9 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 075

83

9) The waiting times (in minutes) for 11 customers at a supermarket are:

The percentile rank for the customer who waited 11 minutes is: A) 80.00% B) 72.72% C) 68.33% D) 63.64% Answer: D Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 076 10) The work experiences (in years) of 14 employees of a company are:

The first quartile for these data is: Answer: 6 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 077 11) The work experiences (in years) of 14 employees of a company are:

The second quartile for these data is: Answer: 10 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 078

84

12) The work experiences (in years) of 14 employees of a company are:

The third quartile for these data is: Answer: 13 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 079 13) The work experiences (in years) of 14 employees of a company are:

The approximate value of the 70th percentile for these data is: Answer: 11 Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 080 14) The work experiences (in years) of 14 employees of a company are:

The percentile rank for the employee with 17 years of experience is: A) 62.96% B) 78.57% C) 68.00% D) 85.71% Answer: B Diff: 1 LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position Question Title: Chapter 03, Testbank Question 081

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3.6

Box-and-Whisker Plot

1) Which of the following is something a box-and-whisker plot does not show?

A) spread of the data B) percent of the data within two standard deviations of the mean C) center of the data set D) skewness of the data set Answer: B Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 082 2) Data concerning the time between failures (in hours of operation) for a computer printer have been recorded, and the first quartile equals 42 hours, the second quartile equals 54 hours, and the third quartile equals 86 hours. The value for the lower inner fence equals: Answer: -24 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 083 3) Data concerning the time between failures (in hours of operation) for a computer printer have been recorded, and the first quartile equals 34 hours, the second quartile equals 60 hours, and the third quartile equals 76 hours. The value for the upper inner fence equals: Answer: 139 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 084 4) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the mean of these data, rounded to two decimal places?

Answer: 30.00 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 085

86

5) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the median of these data?

Answer: 28 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 086 6) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the range of these data?

Answer: 51 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 087 7) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the variance of these data, rounded to two decimal places?

Answer: 216.41 Diff: 2 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 088 8) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the standard deviation of these data, rounded to two decimal places?

Answer: 14.70 Diff: 2 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 089

87

9) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the first quartile?

Answer: 20 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 090 10) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the third quartile?

Answer: 38 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 091 11) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the interquartile range?

Answer: 18 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 092 12) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the lower inner fence?

Answer: -7 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 093

88

13) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the upper inner fence?

Answer: 65 Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 094 14) The following data represent the ages of 15 people buying lift tickets at a ski area.

Are there any outliers in this data set? If so, what are they?

A) yes: 78 B) yes: 15 C) yes: 15 and 78 D) no Answer: A Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 095

89

15) Based on the box-and-whisker plot,

complete the table.

Minimum ----

----

Median ----

----

Maximum ----

13.5

Median 21.5

26

Maximum 36

Answer: Minimum 4

Diff: 1 LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot Question Title: Chapter 03, Testbank Question 096

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

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Introductory Statistics, 10e (Mann) Chapter 4 Probability 4.1

Experiment, Outcome, and Sample Space

1) A statistical experiment is a process that, when performed: A) results in one and only one of two observations B) results in at least two of many observations C) may not lead to the occurrence of any outcome D) results in one and only one of all possible observations Answer: D Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 001 2) A sample point is: A) a collection of many sample spaces B) a point that represents a population in a sample C) an element of a sample space D) a collection of observations Answer: C Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 002 3) An event: A) is the same as a sample space B) includes exactly one outcome C) includes one or more outcomes D) includes all possible outcomes Answer: C Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 003

91

4) A simple event: A) is a collection of exactly two outcomes B) includes one and only one outcome C) does not include any outcome D) includes all possible outcomes Answer: B Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 004 5) A compound event includes: A) at least three outcomes B) at least two outcomes C) one and only one outcome D) all outcomes of an experiment Answer: B Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 005 6) The experiment of tossing a coin 3 times has: A) 2 outcomes B) 8 outcomes C) 6 outcomes D) 5 outcomes Answer: B Diff: 2 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 006

92

7) A box contains a few red, a few black, and a few white marbles. Two marbles are randomly drawn from this box and the color of these marbles is observed. The total number of outcomes for this experiment is: A) 3 B) 6 C) 9 D) you can't tell until you know exactly how many marbles are in the box Answer: C Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 007 8) You randomly select two households and observe whether or not they own an espresso machine.

Which of the following is a simple event?

A) YN or NY B) YN or NY or YY C) YN or NY or NN D) NN Answer: D Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 008 9) You toss a coin nine times and observe 2 heads and 7 tails. Consider the event of tossing a tails in a single toss. This event is a: A) compound event B) simple event C) multiple outcome D) composite events Answer: B Diff: 1 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 009

93

10) Friends will be called, one after another, and asked to go on a weekend trip with you. You will call until one agrees to go (A) or four friends are asked. Which of the following is the correct tree diagram for the sample space for this experiment?

A)

B)

C)

D)

Answer: C Diff: 2 LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space Question Title: Chapter 04, Testbank Question 010

94

4.2

Calculating Probability

1) The probability of an event is always: A) greater than zero B) less than 1 C) in the range 0 to 1 D) greater than 1 Answer: C Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 011 2) According to the relative frequency concept of probability, the probability of an event is: A) one divided by the total number of outcomes for the experiment B) the number of times the given event is observed divided by the total number of repetitions of the experiment C) the number of outcomes favorable to the given event multiplied by the total number of outcomes in the sample space D) the total number of outcomes in the sample space divided by the number of outcomes favorable to the given event Answer: B Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 012 3) You select one person from a group of eight males and two females. The two events "a male is selected" and "a female is selected" are: A) independent B) equally likely C) not equally likely D) collectively exhaustive Answer: C Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 013

95

4) Which of the following values cannot be the probability of an event?

A) 0.33 B) 2.47 C) 0.25 D) 1.00 Answer: B Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 014 5) When a person makes an educated guess about the likelihood that an event will occur, it is an example of: A) conditional probability B) marginal probability C) subjective probability D) classical probability Answer: C Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 015 6) According to the classical concept of probability, the probability of a compound event is: A) one divided by the total number of outcomes for the experiment B) the number of times the given event is observed divided by the total number of repetitions of the experiment C) the number of outcomes favorable to the given event divided by the total number of outcomes for the experiment D) the total number of outcomes in the sample space divided by the number of outcomes favorable to the given event Answer: C Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 016

96

7) The Law of ________ states that if an experiment is repeated again and again, the probability of an event obtained from the relative frequency approaches the actual probability.

Answer: Large Numbers Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 017 8) In a group of 72 students, 22 are seniors. If you select one student randomly from this group, the probability (rounded to three decimal places) that this student is a senior is: Answer: 0.306 Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 018 9) In a group of 439 families, 272 own homes. If you select one family randomly from this group, the probability (rounded to three decimal places) that this family owns a house is: Answer: 0.620 Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 019 10) You roll an unbalanced die 550 times, and a 3-spot is obtained 110 times. The probability (rounded to three decimal places) of not obtaining a 3-spot for this die is approximately: Answer: 0.800 Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 020 11) A quality control staff selects 241 items from the production line of a company and finds 23 defective items. The probability (rounded to three decimal places) that an item manufactured by this company is not defective is: Answer: 0.905 Diff: 1 LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability Question Title: Chapter 04, Testbank Question 021

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4.3

Marginal Probability, Conditional Probability, and Related Probability Concepts

1) A conditional probability is a probability: A) of a sample space based on a certain condition B) that an event will occur given that another event has already occurred C) that an event will occur based on the condition that no other event is being considered D) that an event will occur based on the condition that all other events have already occurred Answer: B Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 022 2) A marginal probability is a probability of: A) a sample space B) an outcome when another outcome has already occurred C) a single event without considering any other event D) an experiment calculated at the margin Answer: C Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 023 3) Two mutually exclusive events: A) always occur together B) can sometimes occur together C) cannot occur together D) can occur together, provided one has already occurred Answer: C Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 024

98

4) Two events are independent if the occurrence of one event: A) affects the probability of the occurrence of the other event B) does not affect the probability of the occurrence of the other event C) means that the second event cannot occur D) means that the second event is certain to occur Answer: B Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 025 5) Two complementary events: A) taken together do not include all outcomes for an experiment B) taken together include all outcomes for an experiment and have no common outcomes C) can occur together D) are not mutually exclusive Answer: B Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 026 6) Events A and B are independent if: A) P(A) is equal to P(B) B) P(B|A) is equal to P(A) C) P(A|B) is equal to P(A) D) P(A|B) is equal to P(B) Answer: C Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 027

99

7) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Gender Male Female

Suffer From Math Anxiety Yes No 133 107 202 58

If you randomly select one student from these 500 students, the probability that this selected student is a female is: (round your answer to three decimal places) Answer: 0.520 Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 028 8) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Gender Male Female

Suffer From Math Anxiety Yes No 166 74 169 91

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is: (round your answer to three decimal places) Answer: 0.670 Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 029

100

9) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Gender Male Female

Suffer From Math Anxiety Yes No 171 69 164 96

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that this student is a male is: (Round your answer to three decimal places.)

Answer: 0.713 Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 030 10) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Gender Male Female

Suffer From Math Anxiety Yes No 136 104 199 61

If you randomly select one student from these 500 students, the probability that this selected student is a female, given that this student does not suffer from math anxiety is: (Round your answer to three decimal places.)

Answer: 0.370 Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 031

101

11) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Gender Male Female

Suffer From Math Anxiety Yes No 173 67 162 98

Which of the following pairs of events are mutually exclusive?

A) No and yes B) Female and no C) Female and yes D) Male and no Answer: A Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 032 12) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Gender Male Female

Suffer From Math Anxiety Yes No 161 79 174 86

Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this.

Answer: Dependent.

P(Has math anxiety) = 0.670 P(Has math anxiety | Female) = 0.494 Since P(Has math anxiety | Female) is different from P(Has math anxiety), the two variables are not independent.

Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 033

102

13) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 238 152

Democrats 327 213

No Opinion 28 42

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult is a male. (Round your answer to three decimal places.)

Answer: 0.593 Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 034 14) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 230 160

Democrats 348 192

No Opinion 26 44

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult says Democrats have better domestic economic policies. (Round your answer to three decimal places.)

Answer: 0.540 Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 035

103

15) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 219 171

Democrats 349 191

No Opinion 35 35

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult is a female given that the adult thinks that Republicans have better domestic economic policies. (Round your answer to three decimal places.)

Answer: 0.438 Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 036 16) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 235 155

Democrats 344 196

No Opinion 36 34

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult has no opinion given that the adult is a male.

(Round your answer to three decimal places.)

Answer: 0.059 Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 037

104

17) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 208 182

Democrats 358 182

No Opinion 24 46

Which of the following pairs of events are mutually exclusive?

A) Female and democrat B) Female and no opinion C) Female and republican D) Democrat and no opinion Answer: D Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 038 18) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 214 176

Democrats 356 184

No Opinion 39 31

Are the events "Democrat" and "Female" independent or dependent? Detail the calculations you performed to determine this.

Answer: Dependent P(Democrat) = 0.540 P(Democrat | Female) = 0.391 Since P(Democrat | Female) is different from P(Democrat), the events cannot be independent.

Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 039

105

19) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 229 161

Democrats 360 180

No Opinion 36 34

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected has no opinion. (Round your answer to 2 decimal places.)

Answer: 0.07 Diff: 1 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 040 20) From the probabilities shown in this Venn diagram, determine the probability A does not occur.

Answer: 0.61 Diff: 2 LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts Question Title: Chapter 04, Testbank Question 041

106

4.4

Intersection of Events and the Multiplication Rule

1) If P(A and B) = P(A) × P(B), then events A and B are A) complementary B) mutually exclusive C) independent D) subjective Answer: C Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 042 2) The intersection of two events A and B is made up of the outcomes that are: A) either in A or in B or in both A and B B) common to both A and B C) either in A or in B, but not both D) not common to both A and B Answer: B Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 043 3) The probability of the intersection of two events A and B is given by: A) P(A) + P(B) B) P(A) + P(B) - P(A and B) C) P(A) × P(A|B) D) P(A) × P(B|A) Answer: D Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 044 4) The joint probability of two independent events A and B is: A) P(A) + P(B) B) P(A) + P(B) + P(A or B) C) P(A) × P(B) D) P(A) × P(A|B) Answer: C Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 045

107

5) The joint probability of two mutually exclusive events is always equal to: Answer: 0 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 046 6) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 222 168

Democrats 356 184

No Opinion 20 50

The joint probability (rounded to three decimal places) of events "Republicans" and "Male" is: Answer: 0.222 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 047 7) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 227 163

Democrats 333 207

No Opinion 33 37

Find the probability (rounded to three decimal places) that a randomly selected adult from these 1,000 adults is a female and holds the opinion that Democrats have better domestic policies.

Answer: 0.207 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 048

108

8) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 235 155

Democrats 354 186

No Opinion 26 44

The joint probability (rounded to three decimal places) of events "Male" and "No Opinion" is: Answer: 0.026 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 049 9) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 235 155

Democrats 353 187

No Opinion 30 40

The joint probability (rounded to three decimal places) of events and is: Answer: 0 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 050 10) In a class of 43 students, 9 are math majors. The teacher selects two students at random from this class. The probability (to three decimal places) that both of them are math majors is: Answer: 0.040 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 051 11) The athletic department of a school has 14 full-time coaches, and 4 of them are female. The director selects two coaches at random from this group. The probability (to three decimal places) that neither of them is a female is: Answer: 0.495 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 052

109

12) The probability that a physician is a pediatrician is 0.21. The administration selects two physicians at random. The probability (rounded to three decimal places) that neither of them is a pediatrician is: Answer: 0.624 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 053 13) The probability that an adult possesses a credit card is 0.68. A researcher selects two adults at random. The probability (rounded to three decimal places) that one adult possesses a credit card and the other adult does not possess a credit card is: Answer: 0.218 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 054 14) The probability that a physician is a pediatrician is 0.22. The administration selects three physicians at random. The probability (rounded to three decimal places) that two of them are pediatricians is: Answer: 0.113 Diff: 3 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 055 15) The probability that an adult possesses a credit card is 0.78. A researcher selects four adults at random. The probability (rounded to three decimal places) that three of the four adults possess a credit card is: Answer: 0.418 Diff: 3 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 056 16) The probability that a person is a college graduate is 0.33 and that he/she has high blood pressure is 0.16. Assuming that these two events are independent, the probability (to four decimal places) that a person selected at random is a college graduate and has high blood pressure is: Answer: 0.0528 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 057

110

17) The probability that a corporation made profits in 2019 is 0.81 and the probability that a corporation made charitable contributions in 2019 is 0.33. Assuming that these two events are independent, the probability (rounded to 4 decimal places) that a corporation made profits in 2019 and made charitable contributions in 2019 is: Answer: 0.2673 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 058 18) The probability that an employee of a company is a male is 0.61 and the joint probability that an employee of this company is a male and single is 0.22. The probability (rounded to three decimal places) that a randomly selected employee of this company is single given he is a male is: Answer: 0.361 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 059 19) The probability that a farmer is in debt is 0.71. The joint probability that a farmer is in debt and lives in the Midwest is 0.19. The probability (rounded to three decimal places) that a randomly selected farmer lives in the Midwest, given that he is in debt is: Answer: 0.268 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 060 20) The probability that a person drinks at least five cups of coffee per day is 0.26, and the probability that a person has high blood pressure is 0.08. Assuming that these two events are independent, find the probability (to four decimal places) that a person selected at random drinks less than five cups of coffee per day and has high blood pressure.

Answer: 0.0592 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 061

111

21) From the probabilities shown in this Venn diagram, determine the probability that event A occurs and event B does not occur.

Answer: 0.23 Diff: 2 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 062 22) The probability of rolling a 4 on a die and flipping tails on a coin at the same time is: Answer: 1/12 Diff: 1 LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule Question Title: Chapter 04, Testbank Question 063

112

4.5

Union of Events and the Addition Rule

1) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 232 158

Democrats 341 199

No Opinion 21 49

Find the probability (rounded to three decimal places) that a randomly selected adult is a female or thinks that Democrats have better domestic economic policies.

Answer: 0.747 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 064 2) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 219 171

Democrats 322 218

No Opinion 21 49

Find the probability (rounded to three decimal places) that a randomly selected adult has no opinion or is a male.

Answer: 0.611 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 065

113

3) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Gender Male Female

Republicans 206 184

Democrats 343 197

No Opinion 28 42

Find the probability that a randomly selected adult is a male or does not think that Democrats have better domestic economic policies. (Round your answer to 3 decimal places.)

Answer: 0.803 Diff: 3 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 066 4) The probability that a person is a college graduate is 0.38 and that he/she has high blood pressure is 0.13. Assuming that these two events are independent, the probability (to four decimal places) that a person selected at random is a college graduate or has high blood pressure is: Answer: 0.4606 Diff: 3 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 067 5) The probability that a corporation made profits in 2019 is 0.79 and the probability that a corporation made charitable contributions in 2019 is 0.33. Assuming that these two events are independent, the probability (rounded to 4 decimal places) that a corporation made profits in 2019 or made charitable contributions in 2019, but not both is: Answer: 0.5986 Diff: 3 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 068

114

6) The union of two events A and B represents the outcomes that are: A) either in A or in B or in both A and B B) common to both A and B C) neither in A nor in B D) not common to both A and B Answer: A Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 069 7) The probability of the union of two events A and B is the probability that: A) neither event A happens nor event B happens B) both events do not happen together C) both events A and B happen together D) either event A or event B or both A and B happen Answer: D Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 070 8) The probability of the union of two events A and B is: A) P(A) + P(B) + P(A and B) B) P(A) + P(B) - P(A and B) C) P(A)P(B|A) D) P(A)P(A|B) Answer: B Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 071 9) The probability of the union of two events A and B, that are mutually exclusive, is: A) P(A) + P(B) B) P(A) - P(B) + P(A and B) C) P(A) + P(B) - P(A and B) D) P(A) + P(B) + P(A and B) Answer: A Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 072 115

10) The probability that a student at a university is a male is 0.46, that a student is a business major is 0.13, and that a student is a male and a business major is 0.09. The probability that a randomly selected student from this university is a male or a business major is: Answer: 0.5 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 073 11) The probability that a family has at least one child is 0.78, that a family owns a security system is 0.16, and that a family has at least one child and owns a security system is 0.07. The probability that a randomly selected family has at least one child or owns a security system is: Answer: 0.87 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 074 12) 48% of the voters are in favor of limiting the number of terms for senators and congressmen, 32% are against it, and 20% have no opinion. If a pollster selects one voter at random, the probability (to two decimal places) that this voter is either in favor of limiting the number of terms for senators and congressmen or has no opinion is: Answer: 0.68 Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 075 13) A company has a total of 571 male employees. Of them, 127 are single, 283 are married, 124 are either divorced or separated, and 37 are widowers. If management selects one male employee at random from the company, the probability (rounded to three decimal places) that this employee is married or a widower is: Answer: 0.560 Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 076

116

14) A consume researcher inspects 300 batteries manufactured by two companies for being good or defective. The following table gives the two-way classification of these 300 batteries.

Company A Company B

Good 140 130

Defective 10 20

If the researcher selects one battery at random from these 300 batteries, the probability (rounded to three decimal places) that this battery is good or made by company B is: Answer: 0.967 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 077 15) A consume researcher inspects 300 batteries manufactured by two companies for being good or defective. The following table gives the two-way classification of these 300 batteries.

Company A Company B

Good 145 125

Defective 5 25

If the researcher selects one battery at random from these 300 batteries, the probability (rounded to three decimal places) that this battery is defective or made by company A is: Answer: 0.583 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 078 16) A consume researcher inspects 300 batteries manufactured by two companies for being good or defective. The following table gives the two-way classification of these 300 batteries.

Company A Company B

Good 147 123

Defective 3 27

If the researcher selects one battery at random from these 300 batteries, the probability (rounded to three decimal places) that this battery is good or made by company A is: Answer: 0.910 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 079 117

17) The probability that a person drinks at least five cups of coffee per day is 0.24, and the probability that a person has high blood pressure is 0.08. Assuming that these two events are independent, find the probability (to four decimal places) that a person selected at random drinks less than five cups of coffee per day and has high blood pressure.

Answer: 0.0608 Diff: 3 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 080 18) From the probabilities shown in this Venn diagram, determine the probability that exactly one of the events A and B occurs.

Answer: 0.57 Diff: 2 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 081 19) Given the table.

Male Female

Yes 0.201 0.143

No 0.053 0.227

Maybe 0.243 0.497

What is the probability that a randomly selected Male will answer "Yes" or "No"?

Answer: 0.254 Diff: 1 LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule Question Title: Chapter 04, Testbank Question 082

118

4.6

Counting Rule, Factorials, Combinations, and Permutations

1) The total number of outcomes for 2 rolls of a 6-sided die is: Answer: 36 Diff: 2 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 083 2) A woman owns 10 blouses, 10 skirts, and 8 pairs of shoes. She will randomly select one blouse, one skirt, and one pair of shoes to wear on a certain day. The total number of possible outcomes is: Answer: 800 Diff: 2 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 084 3) In general, "n factorial" represents: A) the product of any n numbers B) the sum of all integers from n to 1 C) the product of all integers from n to 1 D) n - 1 Answer: C Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 085 4) The factorial of zero is: Answer: 1 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 086 5) 8! = ________ Answer: 40,320 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 087 6) (15 - 7)! = ________ 119

Answer: 40,320 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 088 7) (14 - 14)! = ________ Answer: 1 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 089 8) (9 - 0)! = ________ Answer: 362,880 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 090 9) The number of combinations for selecting 6 elements from 11 distinct elements is: Answer: 462 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 091 10) = ________ Answer: 1 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 092

120

11) = ________ Answer: 1 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 093 12) = ________ Answer: 84 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 094 13) A court randomly selects a jury of 8 persons from a group of 15 persons. The total number of combinations is: Answer: 6435 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 095 14) An investor randomly selects 8 stocks from 16 stocks for an investment portfolio. The total number of combinations is: Answer: 12,870 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 096 15) The number of permutations for selecting 5 elements from 12 distinct elements is: Answer: 95,040 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 097

121

16) = ________ Answer: 362,880 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 098 17) = ________ Answer: 5040 Diff: 1 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 099 18) You have 10 books on your to-read list. You are selecting three of them to take on the cruise.

The first book selected will be read first, the second book selected will be read second, and the third book selected will be read third. Thus, the order in which the 3 books are selected from the 10 books is important. Find the total number of arrangements of 3 books from these 10.

A) 3,628,800 B) 6 C) 720 D) 90 Answer: C Diff: 2 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 100

122

19) A sailing club has 16 members and is voting for officers. The first person voted in will be Commodore. The second person voted in will be Vice Commodore. The third person voted in will be Treasurer. The fourth person voted in will be Secretary. Thus, the order in which the 4 people are voted in from the 16 members is important. Find the total number of ways 4 officers can be voted in from the 16 members.

Answer: 43,680 Diff: 2 LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations Question Title: Chapter 04, Testbank Question 101

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Introductory Statistics, 10e (Mann) Chapter 5 Discrete Random Variables and Their Probability Distributions 5.1

Random Variables

1) A random variable is a variable whose value is determined by the: A) outcome of a random experiment B) random population C) random space D) random subjective probability Answer: A Diff: 1 LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables Question Title: Chapter 05, Testbank Question 001 2) A discrete random variable is a random variable: A) that can assume any value in one or more intervals B) that assumes countable variables C) that is derived from a random population D) that is determined by random probability Answer: B Diff: 1 LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables Question Title: Chapter 05, Testbank Question 002 3) A continuous random variable is a random variable: A) that can assume any value in one or more intervals B) whose set of values is countable C) that is derived from a random population D) that is determined by random probability Answer: A Diff: 1 LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables Question Title: Chapter 05, Testbank Question 003

124

4) Which of the following is not an example of a discrete random variable?

A) The number of days it rains in a month in New York B) The number of stocks a person owns C) The number of persons allergic to penicillin D) The time spent by a physician with a patient Answer: D Diff: 1 LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables Question Title: Chapter 05, Testbank Question 004 5) Which of the following is an example of a discrete random variable?

A) The weight of a box of cookies B) The length of a window frame C) The number of horses owned by a farmer D) The distance from home to work for a worker Answer: C Diff: 1 LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables Question Title: Chapter 05, Testbank Question 005

125

5.2

Probability Distribution of a Discrete Random Variable

1) The probability distribution of a discrete random variable lists: A) some of the possible values that the random variable can assume and their corresponding probabilities B) all the possible values that the random variable can assume and their corresponding probabilities C) all the possible values that the random variable can assume and their corresponding frequencies D) some of the possible values that the random variable can assume and their corresponding frequencies Answer: B Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 006 2) For a discrete random variable x, the probability of any value of x is: A) always greater than 1 B) always less than zero C) always in the range zero to 1 D) never greater than zero Answer: C Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 007 3) Which of the following is true for the probability of a discrete random variable x?

A) P(x) < 0 B) P(x) < 1 C) P(x) = 2 D) 0 ≤ P(x) ≤ 1 Answer: D Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 008

126

4) For the probability distribution of a discrete random variable x, the sum of the probabilities of all possible values of x must be: A) equal to zero B) in the range zero to 1 C) equal to 0.5 D) equal to 1 Answer: D Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 009 5) Which of the following is true for the probability distribution of a discrete random variable x?

A) B) C) D) Answer: B Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 010 6) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.21

4 0.17

5 0.17

6 0.09

7 0.03

The probability of x = 3 is: Answer: 0.21 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 011

127

7) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.23

4 0.11

5 0.21

6 0.09

7 0.03

The probability that x is less than 5 is: Answer: 0.67 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 012 8) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.24

4 0.13

5 0.18

6 0.09

7 0.03

P(x > 3) = Answer: 0.43 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 013 9) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.23

4 0.12

5 0.20

6 0.09

7 0.03

P(x ≤ 5) = Answer: 0.88 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 014

128

10) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.25

4 0.14

5 0.16

6 0.09

7 0.03

P(x ≥ 4) = Answer: 0.42 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 015 11) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.23

4 0.11

5 0.21

6 0.09

7 0.03

P(2 ≤ x ≤ 5) = Answer: 0.73 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 016 12) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.28

4 0.20

5 0.13

6 0.16

7 0.06

8 0.02

P(x = 7) = Answer: 0.06 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 017

129

13) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.34

4 0.26

5 0.13

6 0.04

7 0.06

8 0.02

P(x ≤ 4) = Answer: 0.75 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 018 14) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.29

4 0.26

5 0.13

6 0.09

7 0.06

8 0.02

P(x ≥ 6) = Answer: 0.34 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 019 15) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.33

4 0.25

5 0.13

6 0.06

7 0.06

8 0.02

P(3 ≤ x ≤ 6) = Answer: 0.77 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 020

130

16) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.28

4 0.21

5 0.13

6 0.15

7 0.06

8 0.02

P(x > 6) = Answer: 0.08 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 021 17) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.32

4 0.20

5 0.13

6 0.12

7 0.06

8 0.02

P(x < 4) = Answer: 0.47 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 022 18) The following table lists the probability distribution of the number of refrigerators owned by all families in a city. x P(x)

0 0.03

1 0.64

2 0.25

3 0.08

The probability that a randomly selected family owns exactly two refrigerators is: Answer: 0.25 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 023

131

19) The following table lists the probability distribution of the number of refrigerators owned by all families in a city. x P(x)

0 0.02

1 0.64

2 0.26

3 0.08

The probability that a randomly selected family owns at most one refrigerator is: Answer: 0.66 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 024 20) The following table lists the probability distribution of the number of refrigerators owned by all families in a city. x P(x)

0 0.03

1 0.67

2 0.23

3 0.07

The probability that a randomly selected family owns at least two refrigerators is: Answer: 0.30 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 025 21) The following table lists the probability distribution of the number of refrigerators owned by all families in a city. x P(x)

0 0.04

1 0.63

2 0.25

3 0.08

The probability that a randomly selected family owns less than two refrigerators is: Answer: 0.67 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 026

132

22) The following table lists the probability distribution of the number of refrigerators owned by all families in a city. x P(x)

0 0.01

1 0.68

2 0.22

3 0.09

The probability that a randomly selected family owns more than one refrigerator is: Answer: 0.31 Diff: 1 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 027 23) A survey shows that out of 1,000 households surveyed, 445 own one car, 350 own two cars, 192 own three cars, and 13 own 4 cars. Construct the probability distribution for this data.

Answer: Number of cars owned Probability 1 0.445 2 0.35 3 0.192 4 0.013 Diff: 3 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 028 24) It costs $5.00 to play a very simple game, in which a dealer gives you one card from a deck of 52 cards. If the card is a heart, spade, or diamond, you lose. If the card is a club other than the queen of clubs, you win $10.50. If the card is the queen of clubs, you win $25.00. The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?

Answer: -$2.10 Diff: 3 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 029

133

25) A survey of 1,000 households produces the following probability distribution: Number of cars owned 1 2 3 4

Probability 0.487 0.367 0.109 0.037

Is this a valid probability distribution?

A) Yes B) No Answer: A Diff: 3 LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 030 5.3

Mean and Standard Deviation of a Discrete Random Variable

1) The mean of a discrete random variable is the mean of its: A) frequency distribution B) percentage distribution C) probability distribution D) second and third quartiles Answer: C Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 031 2) The mean of a discrete random variable is its: A) interquartile range B) expected value C) second quartile D) upper hinge Answer: B Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 032

134

3) The formula used to obtain the mean of a discrete random variable is: A) B) C) D) Answer: D Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 033 4) The standard deviation of a discrete random variable is the standard deviation of its: A) frequency distribution B) percentage distribution C) probability distribution D) first and fourth quartiles Answer: C Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 034 5) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.22

4 0.13

5 0.20

6 0.09

7 0.03

The mean of the random variable x is: Answer: 3.40 Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 035

135

6) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.04

1 0.11

2 0.18

3 0.25

4 0.12

5 0.18

6 0.09

7 0.03

The standard deviation of the random variable x, rounded to three decimal places, is: Answer: 1.728 Diff: 2 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 036 7) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.29

4 0.21

5 0.13

6 0.14

7 0.06

8 0.02

The mean of the random variable x is: Answer: 4.08 Diff: 2 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 037 8) The following table lists the probability distribution of a discrete random variable x: x P(x)

2 0.15

3 0.31

4 0.20

5 0.13

6 0.13

7 0.06

8 0.02

The standard deviation of the random variable x, rounded to three decimal places, is: Answer: 1.555 Diff: 2 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 038

136

9) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.19

1 0.36

2 0.25

3 0.11

4 0.06

5 0.03

The mean of the random variable x is: Answer: 1.58 Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 039 10) The following table lists the probability distribution of a discrete random variable x: x P(x)

0 0.19

1 0.35

2 0.26

3 0.11

4 0.06

5 0.03

The standard deviation of the random variable x, round to three decimal places, is: Answer: 1.250 Diff: 2 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 040 11) The following table lists the probability distribution of the number of HD-TVs owned by all families in a city. x P(x)

0 0.07

1 0.41

2 0.30

3 0.14

4 0.08

The mean number of HD-TVs owned by these families is: Answer: 1.75 Diff: 1 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 041

137

12) The following table lists the probability distribution of the number of HD-TVs owned by all families in a city. x P(x)

0 0.07

1 0.36

2 0.31

3 0.18

4 0.08

The standard deviation of the number of HD-TVs owned by these families, rounded to three decimal places, is: Answer: 1.056 Diff: 2 LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable Question Title: Chapter 05, Testbank Question 042 5.4

The Binomial Probability Distribution

1) A Bernoulli trial is: A) the trial of a court case B) a repetition of a binomial experiment C) a repetition of a probability distribution D) the trial of a probability distribution Answer: B Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 043 2) Which of the following is not a condition of the binomial experiment?

A) There are only two trials B) Each trial has two and only two outcomes C) p is the probability of success, q is the probability of failure, and p + q = 1 D) The trials are independent Answer: A Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 044

138

3) In binomial experiments, the outcome called a "success" is an outcome: A) that is always beneficial B) that is linked to success C) to which the question refers D) that is favorable Answer: C Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 045 4) The parameters of the binomial probability distribution are: A) n, p, and q B) n, p, q, and x C) n, p, and x D) n and p Answer: D Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 046 5) The binomial probability distribution is symmetric if: A) p is not equal to 0.50 B) p is equal to 0.50 C) p is less than 0.50 D) p is greater than 0.50 Answer: B Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 047 6) The binomial probability distribution is right-skewed if: A) p is not equal to 0.50 B) p is equal to 0.50 C) p is less than 0.50 D) p is greater than 0.50 Answer: C Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 048

139

7) The binomial probability distribution is left-skewed if: A) p is not equal to 0.50 B) p is equal to 0.50 C) p is less than 0.50 D) p is greater than 0.50 Answer: D Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 049 8) The mean of a binomial distribution is equal to: A) npq B) np C) (npq)2 D) Answer: B Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 050 9) The standard deviation of a binomial distribution is equal to: A) npq B) np C) (npq)2 D) Answer: D Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 051 10) Which of the following is an example of a binomial experiment?

A) Rolling a die 10 times and observing for a number B) Selecting five persons and observing whether they are in favor of an issue, against it, or have no opinion C) Tossing a coin 20 times and observing for a head or tail D) Drawing three marbles from a box that contains red, blue, and yellow marbles and observing for a color Answer: C Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 052

140

11) Which of the following is not a binomial experiment?

A) Rolling a die 25 times and observing for an even or odd number B) Randomly selecting 50 items from a production line and observing if they are good or defective C) Rolling a die 20 times and observing for a number that is less than or equal to 4 or greater than 4 D) Selecting 50 adults and observing if they are in favor of an issue, against it, or have no opinion Answer: D Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 053 12) Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability, rounded to four decimal places, that in a random sample of 14 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: Answer: 0.2141 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 054 13) Thirty-two percent of adults did not visit their physicians' offices last year. The probability, rounded to four decimal places, that in a random sample of 12 adults, exactly 3 will say they did not visit their physicians' offices last year is: Answer: 0.2241 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 055 14) Forty-four percent of customers who visit a department store make a purchase. The probability, rounded to four decimal places, that in a random sample of 10 customers who will visit this department store, exactly 4 will make a purchase is: Answer: 0.2427 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 056

141

15) Five percent of all credit card holders eventually become delinquent. The probability, rounded to four decimal places, that in a random sample of 17 credit card holders, exactly 4 will become delinquent is: Answer: 0.0076 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 057 16) Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 7 do not have cavities is: Answer: 0.2318 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 058 17) Thirty percent of law students who sit for a bar exam pass it the first time. The probability, rounded to four decimal places, that in a random sample of 15 law students who will sit for the bar examination, at most 5 will pass it the first time is: Answer: 0.7216 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 059 18) 28% of adults did not visit their physicians' offices last year. Let x be the number of adults in a random sample of 32 adults who did not visit their physicians' offices last year. The mean and standard deviation of the probability distribution of x, rounded to two decimal places, are: A) Part A: The mean is 8.96.

Part B: The standard deviation is 2.54.

B) Part A: The mean is 9.68.

Part B: The standard deviation is 2.54.

C) Part A: The mean is 9.68.

Part B: The standard deviation is 2.39.

D) Part A: The mean is 8.96.

Part B: The standard deviation is 2.39.

Answer: A Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 060

142

19) 58% of children in a school do not have cavities. Let x be the number of children in a random sample of 91 children selected from this school who do not have cavities. The mean and standard deviation of the probability distribution of x, rounded to two decimal places, are: A) The mean is 52.78.

The standard deviation is 4.71.

B) The mean is 48.56.

The standard deviation is 4.71.

C) The mean is 48.56.

The standard deviation is 5.13.

D) The mean is 52.78.

The standard deviation is 5.13.

Answer: A Diff: 1 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 061 20) All 14 of the orangutans at a certain zoo contract a very serious disease which claims 75% of its victims (if an orangutan contracts the disease, the probability that it will die is 0.75). What is the probability, rounded to four decimal places, that exactly 3 of the orangutans at this zoo will survive?

Answer: 0.2402 Diff: 2 LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution Question Title: Chapter 05, Testbank Question 062 5.5

The Hypergeometric Probability Distribution

1) The hypergeometric probability distribution can be used whenever: A) a sample is drawn at random with replacement B) successive trials are independent of each other C) the probability of two outcomes remains constant D) the population is finite and sampling occurs without replacement Answer: D Diff: 1 LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution Question Title: Chapter 05, Testbank Question 063 2) Let N = 11, r = 3, and n = 8. Using the hypergeometric probability distribution formula, find (Round your answer to four decimal places.)

Answer: 0.3394 Diff: 2 LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution Question Title: Chapter 05, Testbank Question 064 143

3) Let N = 10, r = 6, and n = 3. Using the hypergeometric probability distribution formula, find P(x = 0). (Round your answer to four decimal places.)

Answer: 0.0333 Diff: 2 LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution Question Title: Chapter 05, Testbank Question 065 4) Let N = 11, r = 6, and n = 3. Using the hypergeometric probability distribution formula, find (Round your answer to four decimal places.)

Answer: 0.4242 Diff: 3 LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution Question Title: Chapter 05, Testbank Question 066 5.6

The Poisson Probability Distribution

1) Which of the following is not a condition to apply the Poisson probability distribution?

A) x is a discrete random variable B) There are n identical occurrences C) The occurrences are random D) The occurrences are independent Answer: B Diff: 1 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 067 2) The parameter(s) of the Poisson probability distribution is(are): A) n, x, and λ B) n and λ C) λ D) λ and x Answer: C Diff: 1 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 068 3) For λ = 5.2, the probability of x = 7, rounded to four decimal places, is: Answer: 0.1125 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 069 144

4) For λ = 3.9, the probability of P(x < 3), rounded to four decimal places, is: Answer: 0.2531 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 070 5) For λ = 3.9, the probability of P(x > 2), rounded to four decimal places, is: Answer: 0.7469 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 071 6) A manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 2 defective bolts. The quality control staff randomly selects a box at the end of the day from an entire production run. What is the probability, rounded to four decimal places, that the box will contain exactly 6 defective bolts?

Answer: 0.0120 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 072 7) A manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 6 defective bolts. The quality control staff randomly selects a box at the end of the day from an entire production run. What is the probability, rounded to four decimal places, that the box will contain at most 6 defective bolts?

Answer: 0.6063 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 073 8) A manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 2 defective bolts. The quality control staff randomly selects a box at the end of the day from an entire production run. What is the probability, rounded to four decimal places, that the box will contain less than 7 defective bolts?

Answer: 0.9955 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 074

145

9) Historical data indicates that Rickenbacker Airlines receives an average of 2.5 complaints per day. What is the probability, rounded to four decimal places, that on a given day, Rickenbacker Airlines will receive exactly 5 complaints?

Answer: 0.0668 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 075 10) Historical data indicates that Rickenbacker Airlines receives an average of 2.0 complaints per day. What is the probability, rounded to four decimal places, that on a given day, Rickenbacker Airlines will receive at least 6 complaints?

Answer: 0.0166 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 076 11) Historical data indicates that Rickenbacker Airlines receives an average of 2.3 complaints per day. What is the probability, rounded to four decimal places, that on a given day, Rickenbacker Airlines will receive less than 2 complaints?

Answer: 0.3309 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 077 12) The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of 4.3 per sheet. What percent of these sheets have no air bubbles?

Answer: 0.0136 Diff: 2 LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution Question Title: Chapter 05, Testbank Question 078

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Introductory Statistics, 10e (Mann) Chapter 6 Continuous Random Variables and the Normal Distribution 6.1

Continuous Probability Distribution and the Normal Probability Distribution

1) A continuous random variable is a random variable that can: A) assume only a countable set of values B) assume any value in one or more intervals C) have no random sample D) assume no continuous random frequency Answer: B Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 001 2) The relative frequency density for a class is obtained by dividing the: A) frequency of that class by the class width B) relative frequency of that class by the total frequency C) relative frequency of that class by the class width D) frequency of that class by the relative frequency Answer: C Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 002 3) For a continuous random variable x, the probability that x assumes a value in an interval is: A) in the range zero to 1 B) greater than 1 C) less than zero D) greater than 2 Answer: A Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 003

147

4) For a continuous random variable x, the area under the probability distribution curve between any two points is always: A) greater than 1 B) less than zero C) equal to 1 D) in the range zero to 1 Answer: D Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 004 5) For a continuous random variable x, the total probability of all (mutually exclusive) intervals within which x can assume a value is: A) less than 1 B) greater than 1 C) equal to 1 D) between zero and 1 Answer: C Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 005 6) For a continuous random variable x, the total area under the probability distribution curve of x is always: A) less than 1 B) greater than 1 C) equal to 1 D) between zero and 1 Answer: C Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 006

148

7) The probability that a continuous random variable x assumes a single value is always: A) less than 1 B) greater than zero C) equal to zero D) between zero and 1 Answer: C Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 007 8) The normal probability distribution is applied to: A) a discrete random variable B) a continuous random variable C) any random variable D) a subjective random variable Answer: B Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 008 9) Which of the following is not a characteristic of the normal distribution?

A) The total area under the curve is 1.0 B) The curve is symmetric about the mean C) The value of the mean is always greater than the value of the standard deviation D) The two tails of the curve extend indefinitely Answer: C Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 009 10) The total area under a normal distribution curve to the left of the mean is always: A) equal to 1 B) equal to zero C) equal to 0.5 D) greater than .5 Answer: C Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 010 149

11) The total area under a normal distribution curve to the right of the mean is always: A) equal to 1 B) equal to zero C) equal to 0.5 D) greater than .5 Answer: C Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 011 12) The tails of a normal distribution curve: A) meet the horizontal axis at z = 3.0 B) never meet or cross the horizontal axis C) cross the horizontal axis at z = 4.0 D) are nonsymmetric Answer: B Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 012 13) The parameters of the normal distribution are: A) μ and σ B) μ, x, and σ C) μ, σ, and z D) μ, x, z, and σ Answer: A Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 013 14) For a normal distribution, the spread of the curve decreases and its height increases as: A) the sample size decreases B) the standard deviation decreases C) the ratio of the mean and standard deviation increases D) the mean increases Answer: B Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 014 150

15) For the standard normal distribution, the mean is: A) 1 and the standard deviation is zero B) 0.5 and the standard deviation is 0.5 C) zero and the standard deviation is 1 D) 1 and the standard deviation is 1 Answer: C Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 015 16) For the standard normal distribution, the z value gives the distance between the mean and a point in terms of the: A) mean B) standard deviation C) variance D) center of the curve Answer: B Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 016 17) For a normal distribution, the z value for an x value that is to the right of the mean is always: A) equal to zero B) negative C) greater than 1 D) positive Answer: D Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 017

151

18) For a normal distribution, the z value for an x value that is to the left of the mean is always: A) equal to zero B) negative C) less than 1 D) positive Answer: B Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 018 19) For a normal distribution, the z value for the mean is always: A) equal to zero B) negative C) equal to 1 D) positive Answer: A Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 019 20) For the standard normal distribution, the area between z = 0 and rounded to four decimal places, is: Answer: 0.1255 Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 020 21) For the standard normal distribution, the area between z = 0 and rounded to four decimal places, is: Answer: 0.4783 Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 021

152

22) For the standard normal distribution, the area to the right of z = 1.75, rounded to four decimal places, is: Answer: 0.0401 Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 022 23) For the standard normal distribution, the area to the right of rounded to four decimal places, is: Answer: 0.5438 Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 023 24) For the standard normal distribution, the area to the left of rounded to four decimal places, is: Answer: 0.8997 Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 024 25) For the standard normal distribution, the area to the left of rounded to four decimal places, is: Answer: 0.0110 Diff: 1 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 025 26) For the standard normal distribution, the area between z = 0.47 and z = 1.92, rounded to four decimal places, is: Answer: 0.2915 Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 026

153

27) For the standard normal distribution, the area between and rounded to four decimal places, is: Answer: 0.5237 Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 027 28) For the standard normal distribution, the area between and rounded to four decimal places, is: Answer: 0.0303 Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 028 29) You are given that the area under the standard normal curve to the left of is equal to 0.2177. What is P(-0.78 < z < 0.78)?

Answer: 0.5646 Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 029 30) The accountant at a department store is analyzing the credit card purchases of 100 of the store's cardholders over the past year. The following table lists the frequency distribution of the continuous random variable x, annual credit card purchases.

Annual Credit Card Purchases ($) 0 to less than 200 200 to less than 400 400 to less than 600 600 to less than 800 800 to less than 1000 1000 to less than 1200

Frequency 14 23 25 10 15 13

What is the relative frequency density of the 400 to less than 600 class? (Round your answer to 5 decimal places.)

Answer: 0.00125 Diff: 2 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 030 154

31) There are 250 players in a particular youth soccer league that has 11 teams. The league statistician is tabulating the total goals scored over the past season by each player. She assigns the random variable y to represent these totals, and then assigns the following categories for y: 0 to less than 4, 4 to less than 8, 8 to less than 12, 12 to less than 16, 16 to less than 20, and 20 to less than 24. The relative frequency density for the 8 to less than 12 class is 0.041. How many of the players scored between 8 and less than 12 goals?

Answer: 41 Diff: 3 LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution Question Title: Chapter 06, Testbank Question 031 6.2

Standardizing a Normal Distribution

1) Let x have a normal distribution with a mean of 58.8 and a standard deviation of 2.77. The z value for rounded to two decimal places, is: Answer: -9.65 Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 032 2) Let x have a normal distribution with a mean of 108.2 and a standard deviation of 10.09. The z value for rounded to two decimal places, is: Answer: 3.72 Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 033 3) Let x have a normal distribution with a mean of 5.9 and a standard deviation of 3.02. The z value for rounded to two decimal places, is: Answer: 2.66 Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 034 4) Let x have a normal distribution with a mean of -35.6 and a standard deviation of 10.28. The z value for rounded to two decimal places, is: Answer: 1.41 Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 035 155

5) According to the Empirical rule, what percent of the data should be between 422 and 1342 for a population with mean of 882 and standard deviation of 230?

A) 95.44% B) 47.72% C) 68.26% D) 99.74% Answer: A Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 036 6) According to the Empirical rule, 99.74% of the data would fall between what two values for a population with mean of 726 and standard deviation of 177?

A) 195 and 1257 B) 372 and 1080 C) 549 and 903 D) 637.5 and 814.5 Answer: A Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 037 7) For a normal curve, changing the mean from 37 to 33 will cause the curve to shift: A) to the right B) to the left C) up D) down Answer: B Diff: 1 LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution Question Title: Chapter 06, Testbank Question 038

156

6.3

Applications of the Normal Distribution

1) The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 410 and a standard deviation of 35. The probability that the score of a randomly selected examinee is between 400 and 480, rounded to four decimal places, is: Answer: 0.5897 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 039 2) The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 410 and a standard deviation of 49. The probability that the score of a randomly selected examinee is less than 370, rounded to four decimal places, is: Answer: 0.2072 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 040 3) The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 460 and a standard deviation of 45. The probability that the score of a randomly selected examinee is more than 530, rounded to four decimal places, is: Answer: 0.0599 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 041 4) The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1170 and a standard deviation of 133. The probability that the sales on a given day at this store are more than $1,405, rounded to four decimal places, is: Answer: 0.0386 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 042

157

5) The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1320 and a standard deviation of 148. The probability that the sales on a given day at this store are less than $1,305, rounded to four decimal places, is: Answer: 0.4596 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 043 6) The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1240 and a standard deviation of 104. The probability that the sales on a given day at this store are between $1,200 and $1,300, rounded to four decimal places, is: Answer: 0.3677 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 044 7) The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 32.82 and a standard deviation of 0.57. The probability that the net weight of a randomly selected box of these cookies is more than 32.6 ounces, rounded to four decimal places, is: Answer: 0.6502 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 045 8) The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 32.15 and a standard deviation of 0.80. The probability that the net weight of a randomly selected box of these cookies is less than 31.58 ounces, rounded to four decimal places, is: Answer: 0.2381 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 046

158

9) The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 31.76 and a standard deviation of 0.58. The probability that the net weight of a randomly selected box of these cookies is between 31.8 and 32.5 ounces, rounded to four decimal places, is: Answer: 0.3715 Diff: 3 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 047 10) The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.58 and a standard deviation of 1.82. The probability that the height of a randomly selected female college basketball player is more than 65.8 inches, rounded to four decimal places, is: Answer: 0.8360 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 048 11) The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.59 and a standard deviation of 2.23. The probability that the height of a randomly selected female college basketball player is less than 67.2 inches, rounded to four decimal places, is: Answer: 0.4306 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 049 12) The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.92 and a standard deviation of 1.82. The probability that the height of a randomly selected female college basketball player is between 63.9 and 69.2 inches, rounded to four decimal places, is: Answer: 0.7455 Diff: 3 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 050

159

13) We know that the length of time required for a student to complete a particular aptitude test has a normal distribution with a mean of 39.5 minutes and a variance of 4.7 minutes. What is the probability, rounded to four decimal places, that a given student will complete the test in more than 36 minutes but less than 43 minutes?

Answer: 0.8936 Diff: 2 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 051 14) A floor tiling contractor has just sent Tina out on a job without any indication of the size of the job. She does know that, over the years, the number of tiles required for each job has followed a normal distribution with a mean of 581 and a standard deviation of 201. She can either take the large truck (which is very difficult and expensive to drive) or the small truck to the job site. She is certain that the large truck can hold enough tiles to do the job, but she would prefer to take the small truck if she can. The small truck can carry up to 760 tiles. Because the job site is out of town, she can only make one trip. What is the probability that the small truck will carry enough tiles to do the job?

Answer: 0.8134 Diff: 3 LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution Question Title: Chapter 06, Testbank Question 052

160

6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known 1) The area under the standard normal curve from zero to z is 0.0910 and z is positive. The value of z is: Answer: 0.23 Diff: 1 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 053 2) The area under the standard normal curve from zero to z is 0.2157 and z is negative. The value of z is: Answer: -0.57 Diff: 1 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 054 3) The area under the standard normal curve to the right of z is 0.0262 and z is positive. The value of z is: Answer: 1.94 Diff: 1 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 055 4) The area under the standard normal curve to the left of z is 0.0446 and z is negative. The value of z is: Answer: -1.70 Diff: 1 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 056

161

5) Suppose that the distribution for a random variable x is normal with mean 14 and standard deviation σ, and P(x < 0) = 0.0864. Rounded to two decimal places, what is σ?

Answer: 10.27 Diff: 3 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 057 6) The ages of adults in a certain community follow a normal distribution with mean 38.5 and standard deviation 6.68. The random variable x represents the age of a randomly selected adult from this community. Given that P(35 < x < a) = .1700, what is a to the nearest year?

Answer: 38 Diff: 3 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 058 7) Let x be a continuous random variable that follows a normal distribution with a mean of 226 and a standard deviation of 22.

Find the value of x so that the area under the normal curve to the left of x is approximately 0.8078.

(Round your answer to two decimal places.)

Answer: 245.14 Diff: 2 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 059 8) Let x be a continuous random variable that follows a normal distribution with a mean of 254 and a standard deviation of 46.

Find the value of x so that the area under the normal curve to the right of x is approximately 0.0041.

(Round your answer to two decimal places.)

Answer: 375.44 Diff: 2 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 060 162

9) Let x be a continuous random variable that follows a normal distribution with a mean of 218 and a standard deviation of 42.

Find the value of x so that the area under the normal curve between μ and x is approximately 0.4147 and the value of x is less than μ. (Round your answer to two decimal places.)

Answer: 160.46 Diff: 3 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 061 10) Let x be a continuous random variable that follows a normal distribution with a mean of 219 and a standard deviation of 51.

Find the value of x so that the area under the normal curve between μ and x is approximately 0.4978 and the value of x is greater than μ. (Round your answer to two decimal places.)

Answer: 364.35 Diff: 3 LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known Question Title: Chapter 06, Testbank Question 062

163

6.5

The Normal Approximation to the Binomial Distribution

1) We can use the normal distribution to approximate the binomial distribution when: A) the sample size is at least 30 B) np and nq are both less than 5 C) np and nq are both more than 5 D) nx is greater than 30 Answer: C Diff: 1 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 063 2) We know that 59% of all adults are in favor of abolishing the sales tax and increasing the income tax. Suppose we take a random sample of 381 adults and obtain their opinions on the issue.

The probability that exactly 250 will be in favor of abolishing the sales tax and increasing the income tax is approximately: Answer: 0.0013 Diff: 1 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 064 3) We know that 57% of all adults are in favor of abolishing the sales tax and increasing the income tax. Suppose we take a random sample of 421 adults and obtain their opinions on the issue.

The probability that 225 or fewer will be in favor of abolishing the sales tax and increasing the income tax is approximately: Answer: 0.0772 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 065 4) We know that 62% of all adults are in favor of abolishing the sales tax and increasing the income tax. Suppose we take a random sample of 408 adults and obtain their opinions on the issue.

The probability that 250 to 265 will be in favor of abolishing the sales tax and increasing the income tax is approximately: Answer: 0.5375 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 066 164

5) We know that football is the favorite sport to watch on television for 36% of adults in the United States. Suppose we take a random sample of 500 adults and obtain their opinions on their favorite sport to watch on television. The probability that 180 to 215 will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Answer: 0.5181 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 067 6) We know that football is the favorite sport to watch on television for 38% of adults in the United States. Suppose we take a random sample of 525 adults and obtain their opinions on their favorite sport to watch on television. The probability that 193 or more will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Answer: 0.7355 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 068 7) We know that football is the favorite sport to watch on television for 41% of adults in the United States. Suppose we take a random sample of 499 adults and obtain their opinions on their favorite sport to watch on television. The probability that 170 to 190 will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Answer: 0.0991 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 069 8) In a recent Gallup poll, 58% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random sample of 963 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. The probability that 560 or more will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

Answer: 0.4750 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 070 9) In a recent Gallup poll, 55% of parents with children under 18 years of age gave themselves a 165

grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random sample of 1012 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. The probability that 550 or less will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

Answer: 0.3500 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 071 10) In a recent Gallup poll, 58% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random sample of 1021 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. The probability that 520 to 555 will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

Answer: 0.0100 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 072 11) As explained in the textbook, the normal distribution can be used as an approximation to the binomial distribution when np > 5 and nq > 5. Let x be the number of times that heads comes up in n flips of a coin for which the probability of a head is p = 0.744. What is the lowest that n can be in order for us to use the normal approximation for the distribution of x?

Answer: 20 Diff: 2 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 073 12) Suppose that the random variable x has a binomial distribution with and You want to determine P(14 ≤ X ≤ 19). Using the normal approximation, what is this probability?

(Round the answer to 4 decimal places.)

Answer: 0.0757 Diff: 3 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 074 13) 94.9% of the parts coming off an assembly line are non-defective. Using the normal 166

approximation to the binomial distribution, what is the probability, rounded to four decimal places, that of 488 parts, fewer than 463 are non-defective?

Answer: 0.5318 Diff: 3 LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution Question Title: Chapter 06, Testbank Question 075

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Introductory Statistics, 10e (Mann) 167

Chapter 7 7.1

Sampling Distributions

Sampling Distribution, Sampling Error, and Nonsampling Errors

1) The population distribution is the probability distribution of the: A) whole population of a country B) population data C) population means D) population probabilities Answer: B Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 001 2) The sampling distribution is the probability distribution of a: A) sample B) sample with replacement C) sample without replacement D) sample statistic Answer: D Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 002 3) The probability distribution of a sample statistic is the: A) frequency distribution of that statistic B) binomial distribution of that statistic C) sampling distribution of that statistic D) Poisson distribution of that statistic Answer: C Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 003

168

4) A population contains 12 members. The total number of samples of size 4 that you can select (without replacement) from this population is: Answer: 495 Diff: 2 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 004 5) A population contains 11 members. The total number of samples of size 6 that you can select (without replacement) from this population is: Answer: 462 Diff: 2 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 005 6) The sampling error is: A) an error that occurs during collection, recording, and tabulation of data B) the difference between the value of a sample statistic and the value of the corresponding population parameter C) an error that occurs when a sample of fewer than 30 members is drawn D) an error that occurs when a sample of 30 or more members is drawn Answer: B Diff: 2 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 006 7) An error that occurs because of chance is called a: A) nonsampling error B) sampling error C) mean error D) probability error Answer: B Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 007

169

8) An error that occurs because of human mistakes is called a: A) nonsampling error B) sampling error C) mean error D) probability error Answer: A Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 008 9) The mean age of all students at a university is 24 years. The mean age of a random sample of 100 students selected from this university is 23.6 years. The difference (23.6 - 24 = -0.4) is the: A) probability error B) nonsampling error C) sampling error D) population error Answer: C Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 009 10) The mean weekly earnings of all employees of a company are $822. The mean weekly earnings of a random sample of 25 employees selected from this company is $837. The difference ($837 - $822 = $15) is the: A) probability error B) nonsampling error C) sampling error D) population error Answer: C Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 010 11) The mean price of all magazines published in the United States is $3.61. The mean price of a random sample of 16 magazines is $3.58. The sampling error is: Answer: -$0.03 Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 011 170

12) The mean age of all cars registered in the United States is 7.60 years. The mean age of a random sample of 1,000 cars is 8.2. The sampling error is: Answer: 0.6 Diff: 1 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 012 13) A population consists of five elements: 5, 6, 8, 10, and 13. You choose a random sample of three elements from this population (without replacement). Which of the following is not a possible value of the sample mean?

A) 6.33 B) 8.00 C) 9.33 D) 10.67 Answer: D Diff: 2 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 013 14) You select 15 people at random from a population of 10,000 and ask them how many movies they have rented in the past month. Their responses are:

You know that the mean number of movies rented in the past month by the population is 4.3.

Assuming that you made no non-sampling errors, what is the sampling error for the mean?

Answer: -0.3 Diff: 2 LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors Question Title: Chapter 07, Testbank Question 014

171

7.2

Mean and Standard Deviation of x

1) The mean of the sampling distribution of the sample mean is: A) always equal to the sample mean B) sometimes equal to the population mean C) always equal to the population mean D) sometimes equal to the sample mean Answer: C Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 015 2) The mean of the sampling distribution of the sample mean is the mean of: A) the means of all possible samples of the same size taken from the population B) the frequency distribution of the population C) the means of all frequency distributions D) one sample Answer: A Diff: 2 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 016 3) If

less than or equal to 0.05, the standard deviation of the sampling distribution of the sample

mean is equal to the population standard deviation: A) divided by the square of the sample size B) divided by the sample size C) divided by the square root of the sample size D) multiplied by the sample size Answer: C Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 017

172

4) When the sample size is greater than 1, the standard deviation of the sampling distribution of the sample means is always: A) equal to the standard deviation of the population B) smaller than the standard deviation of the population C) greater than the standard deviation of the population D) none of these Answer: B Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 018 5) As the sample size increases, the standard deviation of the sampling distribution of the sample mean: A) increases B) decreases C) remains the same D) unable to determine Answer: B Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 019 6) The standard deviation of the sampling distribution of the sample mean for a sample size of n drawn from a population with a mean of μ and a standard deviation of σ and

is:

A) B) C) D) Answer: C Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 020 7) For a continuous random variable x, the population mean and the population standard deviation are 75 and 14, respectively. You take a simple random sample of 25 elements from this population.

The mean of the sampling distribution of the sample mean is: 173

Answer: 75 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 021 8) For a continuous random variable x, the population mean and the population standard deviation are 148 and 11, respectively. You take a simple random sample of 36 elements from this population. The mean of the sampling distribution of the sample mean is: Answer: 148 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 022 9) For a continuous random variable x, the population mean and the population standard deviation are 75 and 20, respectively. Assuming

the standard deviation of the sampling

distribution of the sample mean for a sample of 16 elements taken from this population, rounded to two decimals, is: Answer: 5.00 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 023 10) For a continuous random variable x, the population mean and the population standard deviation are 110 and 45, respectively. Assuming

the standard deviation of the

sampling distribution of the sample mean for a sample of 49 elements taken from this population, rounded to two decimals, is: Answer: 6.43 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 024

174

11) The daily sales at a convenience store have a mean of $1309 and a standard deviation of $125.

The mean of the sampling distribution of the mean sales of a sample of 41 days for this convenience store is: Answer: $1309 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 025 12) The weights of all babies born at a hospital have a mean of 7.5 pounds and a standard deviation of 0.64 pounds. The mean of the sampling distribution of the mean weight of a sample of 31 babies born at this hospital is: Answer: 7.5 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 026 13) The daily sales at a convenience store have a mean of $1337 and a standard deviation of $155.

Assuming

the standard deviation of the sampling distribution of the mean sales of a

sample of 19 days for this convenience store, rounded to two decimal places, is: Answer: $35.56 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 027 14) The weights of all babies born at a hospital have a mean of 7.8 pounds and a standard deviation of 0.71 pounds. Assuming

the standard deviation of the sampling distribution of the

mean weight of a sample of 45 babies born at this hospital, rounded to three decimal places, is: Answer: 0.106 Diff: 1 LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean Question Title: Chapter 07, Testbank Question 028

175

7.3

Shape of the Sampling Distribution of x

1) If the population from which samples are drawn is normally distributed, then the sampling distribution of the sample mean is: A) not normally distributed B) normally distributed if n is 30 or larger C) always normally distributed D) normally distributed if n is less than 30 Answer: C Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 029 2) If the population from which samples are drawn is not normally distributed, then the sampling distribution of the sample mean is: A) never normally distributed B) approximately normally distributed if n is 30 or larger C) always normally distributed D) approximately normally distributed if n is less than 30 Answer: B Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 030 3) According to the Central Limit Theorem, the sampling distribution of the sample mean is approximately normal, irrespective of the shape of the population distribution, if: A) n is 30 or larger B) n is less than 30 C) np and nq are both greater than 5 D) n is 50 or larger Answer: A Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 031

176

4) To apply the Central Limit Theorem to the sampling distribution of the sample mean, the required sample is typically large enough if: A) n is greater than 50 B) n is 50 or less C) n is less than 30 D) n is 30 or larger Answer: D Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 032 5) A continuous random variable x has a normal distribution with a mean of 90 and a standard deviation of 15. The sampling distribution of the sample mean for a sample of 16 elements taken from this population is: A) not normal B) normal C) skewed to the right D) skewed to the left Answer: B Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 033 6) A continuous random variable x has a right-skewed distribution with a mean of 45 and a standard deviation of 6. The sampling distribution of the sample mean for a sample of 25 elements taken from this population is: A) approximately normal B) normal C) skewed to the right D) skewed to the left Answer: C Diff: 2 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 034

177

7) A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of 12. The sampling distribution of the sample mean for a sample of 50 elements taken from this population is: A) approximately normal B) not normal C) skewed to the right D) skewed to the left Answer: A Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 035 8) A continuous random variable x has a left-skewed distribution with a mean of 130 and a standard deviation of 22. The sampling distribution of the sample mean for a sample of 16 elements taken from this population is: A) approximately normal B) normal C) skewed to the right D) skewed to the left Answer: D Diff: 2 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 036 9) A continuous random variable x has a left-skewed distribution with a mean of 155 and a standard deviation of 28. The sampling distribution of the sample mean for a sample of 75 elements taken from this population is: A) approximately normal B) not normal C) skewed to the right D) skewed to the left Answer: A Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 037

178

10) The number of hot dogs sold per game at one concession stand at a baseball park is normally distributed with and You select 10 games at random, and the mean number of hot dogs sold, , is denoted. What is the standard deviation of , rounded to three decimal places?

Answer: 29.093 Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 038 11) For a sample from a normal distribution with standard deviation σ, the standard deviation of the sampling distribution of the sample mean is σ /6. What is the size of the sample?

Answer: 36 Diff: 2 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 039 12) A continuous random variable x has a normal distribution with a mean of 105 and a standard deviation of 30. The sampling distribution of the sample mean for a sample of 25 elements has what mean and standard deviation?

A) μ = 105 σ =6 B) μ = 105 σ = 1.2 C) μ = 65 σ = 1.2 D) μ = 65 σ =6 Answer: A Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 040

179

13) A continuous random variable x has a right-skewed distribution with a mean of 46 and a standard deviation of 20. The sampling distribution of the sample mean for a sample of 100 elements has what mean and standard deviation?

A) μ = 46 σ =2 B) μ = 46 σ = 0.20 C) μ = 73 σ = 0.20 D) μ = 73 σ =2 Answer: A Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 041 14) A continuous random variable x has a left-skewed distribution with a mean of 75 and a standard deviation of 64. The sampling distribution of the sample mean for a sample of 16 elements has what mean and standard deviation?

A) μ = 75 σ =8 B) μ = 75 σ = 4.00 C) μ = 46 σ = 4.00 D) μ = 46 σ =8 Answer: A Diff: 1 LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 042

180

7.4

Applications of the Sampling Distribution of x

1) A population has a mean of 100.5 and a standard deviation of 27.0. Assuming

the

probability, rounded to four decimal places, that the sample mean of a sample of size 67 elements selected from this population will be between 91 and 97 is: Answer: 0.1423 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 043 2) A population has a mean of 57.3 and a standard deviation of 13.3. Assuming

the

probability, rounded to four decimal places, that the sample mean of a sample of size 34 elements selected from this populations will be between 62.5 and 67.1 is: Answer: 0.0113 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 044 3) A population has a normal distribution with a mean of 52.7 and a standard deviation of 7.6.

Assuming

the probability, rounded to four decimal places, that the sample mean of a

sample of size 21 elements selected from this populations will be more than 51.15 is: Answer: 0.8250 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 045 4) A population has a normal distribution with a mean of 83.7 and a standard deviation of 12.7.

Assuming

the probability, rounded to four decimal places, that the sample mean of a

sample of size 16 elements selected from this populations will be less than 80.1 is: Answer: 0.1284 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 046 181

5) The number of hours spent per week on household chores by all adults has a mean of 26.5 hours and a standard deviation of 7.8 hours. The probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 37 adults will be more than 26.75 is: Answer: 0.4227 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 047 6) The time spent commuting from home to work for all employees of a very large company has a normal distribution with a mean of 42.9 minutes and a standard deviation of 9.0 minutes. The probability, rounded to four decimal places, that the mean time spent commuting from home to work by a sample of 21 employees will be between 43.26 and 49.35 minutes is: Answer: 0.4268 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 048 7) All 1,035 members at a country club take part in a contest to see who can drive a golf ball the farthest. Each member takes three swings, and his/her best drive is entered into the contest. The distances of the drives entered into the contest have a mean of 193.0 yards and a standard deviation of 13.80 yards. You select a sample of 33 drives, what is the probability, rounded to four decimal places, that the mean of the sample exceeds 192 yards?

Answer: 0.6614 Diff: 2 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 049 8) A continuous random variable x has a normal distribution with a mean of 59 and a standard deviation of 17. In the sampling distribution of the sample mean for a sample of 16 elements, what is the z-score for a sample mean of 53.05?

Answer: -1.4 Diff: 1 LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean Question Title: Chapter 07, Testbank Question 050

182

7.5 Population and Sample Proportions; and the Mean, Standard Deviation, and Shape of the Sampling Distribution of 1) If you divide the number of elements in a population with a specific characteristic by the total number of elements in the population, the result is the population: A) mean B) proportion C) distribution D) sampling distribution Answer: B Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 051 2) If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the result is the: A) sample mean B) sample proportion C) sample distribution D) sampling distribution Answer: B Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 052 3) The mean of the sampling distribution of the sample proportion is equal to the population: A) mean B) mean divided by n C) proportion D) proportion divided by n Answer: C Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 053

183

4) Assuming

≤ .05, the standard deviation of the sampling distribution of the sample

proportion is equal to: A) B) C) D) Answer: C Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 054 5) In the case of proportion, the sample size is large if: A) n is greater than or equal to 30 B) np and nq are both less than 5 C) n is less than 30 D) np and nq are both greater than 5 Answer: D Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 055 6) The sampling distribution of the sample proportion is approximately normal if: A) n is greater than or equal to 30 B) np and nq are both equal to 4 C) np and nq are both greater than 5 D) np and nq are both less than 5 Answer: C Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 056 184

7) A company has 506 employees and 196 of them are college graduates. The proportion of employees of this company who are college graduates, rounded to three decimal places, is: Answer: 0.387 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 057 8) A class of 40 students has 15 seniors. The proportion of students in this class who are seniors, rounded to three decimal places, is: Answer: 0.375 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 058 9) In a sample of 781 adults, 529 are in favor of banning all advertisements relating to alcohol. The proportion of these adults who are in favor of banning all advertisements relating to alcohol, rounded to three decimal places, is: Answer: 0.677 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 059 10) Forty percent of all students at a large university live on campus. Suppose you extract a sample of 101 students from this university. The sample proportion is the proportion of students in this sample who live on campus. The mean of the sampling distribution of this sample proportion is: Answer: 0.40 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 060

185

11) Forty percent of all students at a large university live on campus. Suppose you extract a sample of 104 students from this university. The sample proportion is the proportion of students in this sample who live on campus. The standard deviation of the sampling distribution of this sample proportion, rounded to four decimal places, is: Answer: 0.0480 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 061 12) Thirty-five percent of all adults read at least one newspaper daily. Suppose you select a sample of 516 adults. The sample proportion is the proportion of adults in this sample who read at least one newspaper daily. The mean of the sampling distribution of this sample proportion is: Answer: 0.35 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 062 13) Thirty-five percent of all adults read at least one newspaper daily. Suppose you select a sample of 554 adults. The sample proportion is the proportion of adults in this sample who read at least one newspaper daily. The standard deviation of the sampling distribution of this sample proportion, rounded to four decimal places, is: Answer: 0.0203 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 063 14) There are 2,000 bicycles in a community. The owners of 1,250 of these bicycles also own locks for the bikes. A sample of 520 bicycles is chosen, and it just so happens that the proportion of bicycles in the sample that have locks is the same as that for the entire community. How many of the bicycles in the sample have locks?

Answer: 325 Diff: 2 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 064 186

15) You ask 2,500 actors in the Screen Actors Guild (SAG) if they have ever appeared in a production of Shakespeare's King Lear. 1225 of them say "yes", while the others say "no". The value p is the proportion of the actors who have appeared in King Lear. You next draw a random sample of 13 actors from the SAG. What are the mean and standard deviation of the sample proportion? Round the mean to two decimal places and the standard deviation to four decimal places.

A) Part A: The mean is 0.49 (rounded to two decimal places) Part B: The standard deviation is 0.1386 (rounded to four decimal places) B) Part A: The mean is 0.48 (rounded to two decimal places) Part B: The standard deviation is 0.1386 (rounded to four decimal places) C) Part A: The mean is 0.48 (rounded to two decimal places) Part B: The standard deviation is 0.1443 (rounded to four decimal places) D) Part A: The mean is 0.49 (rounded to two decimal places) Part B: The standard deviation is 0.1443 (rounded to four decimal places) Answer: A Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 065 16) A company has 15,000 employees and 9900 of them have completed a particular training course. Management decides to choose a random sample from all employees. What is the minimum number of employees that must be in the sample in order to use the Central Limit Theorem to approximate the distribution of the proportion in the sample who have taken the training course?

Answer: 16 Diff: 2 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 066 17) In a city with a population of 10,400 people, 3300 people tested positive for the flu. In a random sample of 250 people in that city, 81 people tested positive for the flu. Assuming no sampling errors were made, find the sampling error to two decimal places.

Answer: 0.01 Diff: 1 LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 067

187

7.6

Applications of the Sampling Distribution of

1) Suppose the proportion of elements of a population that possess a certain characteristic is 0.6.

Assuming

the probability that the sample proportion for a sample of 122 elements

drawn from this population is between .62 and .67, rounded to four decimal places, is approximately: Answer: 0.2688 Diff: 2 LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 068 2) Suppose the proportion of elements of a population that possess a certain characteristic is 0.32.

Assuming

the probability that the sample proportion for a sample of 456 elements

drawn from this population is more than .33, rounded to four decimal places, is approximately: Answer: 0.3236 Diff: 2 LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 069 3) Suppose that 6.1% or all persons are allergic to penicillin. A sample of 843 persons is selected.

The probability that less than 8% of persons in the sample of will be allergic to penicillin, rounded to four decimal places, is approximately: Answer: 0.9894 Diff: 2 LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 070 4) Suppose that 8.9% or all persons are allergic to penicillin. A sample of 955 persons is selected.

The probability that 7.5% to 9% of persons in a the sample will be allergic to penicillin, rounded to four decimal places, is approximately: Answer: 0.4789 Diff: 2 LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 071 5) A study shows 18.3 % of all adult males did not visit their physicians' offices last year. A sample 188

of 786 adult males is selected. The probability that more than 18% of adult males in the sample did not visit their physicians' offices last year, rounded to four decimal places, is approximately: Answer: 0.5861 Diff: 2 LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 072 6) A study shows 22.0 % of all adult males did not visit their physicians' offices last year. A sample of 467 adult males is selected. The probability that less than 22.5% of adult males in the sample did not visit their physicians' offices last year, rounded to four decimal places, is approximately: Answer: 0.6029 Diff: 2 LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion Question Title: Chapter 07, Testbank Question 073

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

Introductory Statistics, 10e (Mann) Chapter 8 Estimation of the Mean and Proportion 189

8.1

Estimation, Point Estimate, and Interval Estimate

1) Estimation is a procedure by which we assign a numerical value or numerical values to the: A) population parameter based on the information collected from a sample B) sample statistic based on the information collected from a sample C) population parameter based on the information collected from a population D) sample statistic based on the information collected from a population Answer: A Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 001 2) The values assigned to a population parameter based on the value(s) of a sample statistic are called: A) the probabilities B) the probability distribution C) a sampling distribution D) estimate(s) Answer: D Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 002 3) The sample statistic used to estimate a population parameter is called a(n): A) random variable B) qualitative variable C) estimator D) parameter Answer: C Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 003

190

4) The (single) value of a sample statistic that we assign to the population parameter is called a: A) single estimate B) unique estimate C) point estimate D) singular estimate Answer: C Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 004 5) The confidence level of an interval estimate is denoted by: A) α B) (1 - α) × 100% C) β D) (1 - β) × 100% Answer: B Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 005 6) For most distributions, we can use the normal distribution to make a confidence interval for a population mean provided that the population standard deviation σ is known and the sample size is: A) greater than or equal to 10 B) less than 25 C) greater than or equal to 30 D) equal to 20 Answer: C Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 006 7) Which of the following is not part of the procedure for estimating the value of a population parameter?

A) Selecting a sample B) Collecting the required information from the members of the sample C) Calculating the value of the sample statistic D) Calculating the exact value of the corresponding population parameter Answer: D Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 007 8) You are estimating the mean waiting time in line at a particular fast-food restaurant to place an 191

order. You ask 30 customers, at varying times of the day, how long they waited in line before placing their order. You then take the average of these values and use this average to estimate the mean waiting time for all customers. The average of the 30 values is an example of a(n): A) Chebyshev estimate B) point estimate C) interval estimate D) confidence estimate Answer: B Diff: 1 LO: 8.1.0 Demonstrate an understanding of estimation.

Section: 8.1 Estimation, Point Estimate, and Interval Estimate Question Title: Chapter 08, Testbank Question 008 8.2

Estimation of a Population Mean: σ Known

1) The margin of error for the population mean, assuming σ is known, is: A) E = zσ B) E = zt C) E = σ D) E = z Answer: C Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 009 2) The z value for a 90% confidence interval for the population mean with σ known is: A) 2.05 B) 1.645 C) 2.17 D) 1.60 Answer: B Diff: 1 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 010

192

3) The z value for a 85% confidence interval for the population mean with σ known is: A) 1.96 B) 2.33 C) 1.44 D) 2.58 Answer: C Diff: 1 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 011 4) The width of a confidence interval depends on the size of the: A) population mean B) margin of error C) sample mean D) none of these Answer: B Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 012 5) You can decrease the width of a confidence interval by: A) decreasing the confidence level or decreasing the sample size B) increasing the confidence level or decreasing the sample size C) decreasing the confidence level or increasing the sample size D) increasing the confidence level or increasing the sample size Answer: C Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 013 6) To decrease the width of a confidence interval, we should always prefer to: A) lower the confidence level B) increase the confidence level C) increase the sample size D) decrease the sample size Answer: C Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 014 193

7) A sample of size 106 from a population having standard deviation produced a mean of 43. The 99% confidence interval for the population mean (rounded to two decimal places) is: A) 40.74 to 45.26 B) 40.96 to 45.04 C) 41.29 to 44.71 D) 41.49 to 44.51 Answer: A Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 015 8) A sample of size 61 from a population having standard deviation produced a mean of 265.00. The 95% confidence interval for the population mean (rounded to two decimal places) is: A) 253.71 to 276.29 B) 251.58 to 278.42 C) 250.13 to 279.87 D) 255.04 to 274.96 Answer: A Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 016 9) A random sample of 93 customers, who visited a department store, spent an average of $76 at this store. Suppose the standard deviation of expenditures at this store is The 98% confidence interval for the population mean (rounded to two decimal places) is: A) 71.17 to 80.83 B) 70.65 to 81.35 C) 71.94 to 80.06 D) 72.41 to 79.59 Answer: A Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 017

194

10) The mean IQ score of a sample of 61 students selected from a high school is 87. Suppose the standard deviation of IQ's at this school is σ = 8.4. The 99% confidence interval for the population mean (rounded to two decimal places) is: A) 95.47 to 100.53 B) 95.71 to 100.29 C) 96.08 to 99.92 D) 96.30 to 99.70 Answer: A Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 018 11) The mean federal income tax paid last year by a random sample of 37 persons selected from a city was $4278. Suppose the standard deviation of tax paid in this city is The 95% confidence interval for the population mean (rounded to two decimal places) is: A) 4040.52 to 4515.48 B) 3995.69 to 4560.31 C) 3965.40 to 4590.60 D) 4068.51 to 4487.49 Answer: A Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 019 12) A researcher wants to make a 99% confidence interval for a population mean. She wants the margin of error to be within 4.8 of the population mean. The population standard deviation is 18.20. The sample size that will yield a margin of error within 4.8 of the population mean is: Answer: 96 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 020 13) A researcher wants to make a 95% confidence interval for a population mean. She wants the margin of error to be within 2.3 of the population mean. The population standard deviation is 9.55.

The sample size that will yield a margin of error within 2.3 of the population mean is: Answer: 67 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 021 195

14) A researcher wants to estimate the mean age of all Business Week readers at a 99% confidence level. She wants the margin of error to be within 2.7 years of the population mean. The standard deviation of ages of all Business Week readers is 8.22 years. The sample size that will yield a margin of error within 2.7 of the population mean is: Answer: 62 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 022 15) A company wants to estimate the mean net weight of all 32-ounce packages of its Yummy Taste cookies at a 95% confidence level. The margin of error is to be within 0.019 ounces of the population mean. The population standard deviation is 0.100 ounces. The sample size that will yield a margin of error within 0.019 ounces of the population mean is: Answer: 107 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 023 16) A scientist is estimating the mean lifetime of a newly-discovered insect. From a sample of 95 insects, she finds a sample mean of 41.8 days. Suppose that the population standard deviation of all lifetimes is 2.425 days. What are the boundaries for a 90% confidence interval for the mean lifetime of the insect, rounded to two decimal places?

A) 41.39 to 42.21 B) 41.31 to 42.29 C) 41.22 to 42.38 D) 41.16 to 42.44 Answer: A Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 024

196

17) The Eks Survey Company employs 2000 people to conduct telephone surveys. Because many people don't like to answer such surveys, many "hang-ups" (whereby the person hangs up without completing the survey) occur. The owner of Eks wants to determine the mean number of "hang-ups" per employee on a particular day, using 95% confidence. He samples 36 employees, and finds that the mean number of "hang-ups" on that day was 39.5. Suppose that the standard deviation of the number of "hang-ups" for all employees is 20.6. What is the value of the margin of error? (Round to four decimal places.)

Answer: 6.7293 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 025 18) We are using the mean of a sample as a point estimate for the mean of a normal distribution with a standard deviation of 5. The margin of error, with 95% confidence, for this estimate is 0.834. What is the sample size?

Answer: 138 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 026 19) An advisor to the mayor of a large city wants to estimate, within 2.950 minutes, the mean travel time to work for all employees who work within the city limits. He knows that the standard deviation of all travel times is 13.15 minutes. He also wants to achieve a 95% confidence interval.

He will poll a random sample of city employees. How many employees should he poll?

Answer: 77 Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 027

197

20) Determine the sample size n that is required for estimating the population mean. The population standard deviation σ and the desired margin of error are specified.

A) 19,871 B) 19,872 C) 19,870 D) 19,873 Answer: B Diff: 2 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 028 21) The correct formula for the limits of a confidence interval is: A) ( - z, + z) B) (z - margin of error, z + margin of error) C) ( - margin of error, + margin of error) D) ( × margin of error, × margin of error) Answer: C Diff: 1 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 029 22) True or False. The statement: "The 91% confidence interval for the mean is can be interpreted to mean that the probability that the mean lies in the range is 91%.

Answer: FALSE Diff: 1 LO: 8.2.0 Construct a confidence interval for the population mean when the population standard deviation is known.

Section: 8.2 Estimation of a Population Mean: σ Known Question Title: Chapter 08, Testbank Question 030

198

8.3

Estimation of a Population Mean: σ Not Known

1) We use the t distribution to make a confidence interval for the population mean if the population from which the sample is drawn is (approximately) normally distributed, the population standard deviation is unknown, and the sample size is at least: A) 30 B) 100 C) 50 D) 2 Answer: D Diff: 1 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 031 2) When making a confidence interval for the population mean using the t distribution, the degrees of freedom for the t distribution are: A) n B) n - 2 C) n + 1 D) n - 1 Answer: D Diff: 1 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 032 3) The value of t for 15 degrees of freedom and a 98% confidence interval is: A) 2.861 B) 2.602 C) -2.602 D) 1.328 Answer: B Diff: 1 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 033

199

4) The value of t for 19 degrees of freedom and a 90% confidence interval is: A) 1.729 B) -1.729 C) 2.539 D) -2.539 Answer: A Diff: 1 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 034 5) A sample of 20 elements produced a mean of 91.4 and a standard deviation of 13.80. Assuming that the population has a normal distribution, the 90% confidence interval for the population mean is: A) 86.06 to 96.74 B) 86.05 to 96.75 C) 86.08 to 96.72 D) 84.94 to 97.86 Answer: A Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 035 6) A sample of 25 elements produced a mean of 127.6 and a standard deviation of 17.23. Assuming that the population has a normal distribution, the 90% confidence interval for the population mean, rounded to two decimal places, is: A) 121.70 to 133.50 B) 121.00 to 134.20 C) 121.02 to 134.18 D) 119.65 to 135.55 Answer: A Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 036

200

7) A random sample of 23 tourists who visited Hawaii this summer spent an average of $1470.00 on this trip with a standard deviation of $286.00. Assuming that the money spent by all tourists who visit Hawaii has an approximate normal distribution, the 95% confidence interval for the average amount of money spent by all tourists who visit Hawaii, rounded to two decimal places, is: A) 1346.32 to 1593.68 B) 1336.98 to 1603.02 C) 1337.68 to 1602.32 D) 1309.61 to 1630.39 Answer: A Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 037 8) A random sample of 12 life insurance policy holders showed that the mean value of their life insurance policies is $210,000 with a standard deviation of $51,600. Assuming that the values of life insurance policies for all such policy holders are approximately normally distributed, the 99% confidence interval for the mean value of all life insurance policies, rounded to two decimal places, is: A) 163,734.15 to 256,265.85 B) 162,795.73 to 257,204.27 C) 164,493.83 to 255,506.17 D) 169,513.66 to 250,486.34 Answer: A Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 038 9) A random sample of 8 houses selected from a city showed that the mean size of these houses is 1987.0 square feet with a standard deviation of 242.00 square feet. Assuming that the sizes of all houses in this city have an approximate normal distribution, the 90% confidence interval for the mean size of all houses in this city, rounded to two decimal places, is: A) 1824.86 to 2149.14 B) 1820.76 to 2153.24 C) 1827.86 to 2146.14 D) 1865.93 to 2108.07 Answer: A Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 039 10) Which of the following is not an acceptable condition for using the t distribution to make a 201

confidence interval for μ?

A) The population from which the sample is drawn is right-skewed and n ≥ 30 B) The population from which the sample is drawn is approximately normal C) The population standard deviation is unknown D) The population standard deviation is known Answer: D Diff: 1 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 040 11) Each employee of a large company is encouraged to contribute, through payroll deduction, to an international charity. Annual contributions per employee follow (approximately) a normal distribution. You take a random sample of 25 employees and find that the sample mean annual contribution per employee is $503 with a standard deviation of $18.60. What are the boundaries for a 99% confidence interval for the population mean, rounded to two decimal places?

A) $492.60 to $513.40 B) $493.40 to $512.60 C) $492.63 to $513.37 D) $493.73 to $512.27 Answer: A Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 041 12) An employee of the College Board analyzed the mathematics section of the SAT for 91 students and finds and She reports that a 97% confidence interval for the mean number of correct answers is Does the interval cover the true mean?

Which of the following alternatives is the best answer for the above question?

A) Yes, (29.952, 36.048) covers the true mean.

B) No, (29.952, 36.048) does not cover the true mean.

C) We will never know whether (29.952, 36.048) covers the true mean.

D) The true mean will never be in (29.952, 36.048).

Answer: C Diff: 2 LO: 8.3.0 Construct a confidence interval for the population mean when the population standard deviation is unknown.

Section: 8.3 Estimation of a Population Mean: σ Not Known Question Title: Chapter 08, Testbank Question 042

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8.4

Estimation of a Population Proportion: Large Samples

1) A random sample of 513 produced a sample proportion of 0.74. The 95% confidence interval for the population proportion, rounded to four decimal places, is: A) $0.7020 to $0.7780 B) $0.6949 to $0.7851 C) $0.6900 to $0.7900 D) $0.7081 to $0.7719 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 043 2) A random sample of 171 produced a sample proportion of 0.44. The 98% confidence interval for the population proportion, rounded to four decimal places, is: A) $0.3516 to $0.5284 B) $0.3656 to $0.5144 C) $0.3421 to $0.5379 D) $0.3776 to $0.5024 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 044 3) A random sample of 1017 adults showed that 33% of them are smokers. Based on this sample, the 90% confidence interval for the proportion of all adults who are smokers, rounded to four decimal places, is: A) $0.3057 to $0.3543 B) $0.3011 to $0.3589 C) $0.2956 to $0.3644 D) $0.2920 to $0.3680 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 045

203

4) In a random sample of 676 items produced by a machine, the quality control staff found 6.0% to be defective. Based on this sample, the 95% confidence interval for the proportion of defective items in all items produced by this machine, rounded to four decimal places, is: A) $0.0421 to $0.0779 B) $0.0387 to $0.0813 C) $0.0364 to $0.0836 D) $0.0449 to $0.0751 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 046 5) A random sample of 968 families selected from a large city showed that 15.3% of them make $100,000 or more per year. Based on this sample, the 99% confidence interval for the proportion of all families living in this city who make $100,000 or more per year, rounded to four decimal places, is: A) $0.1231 to $0.1829 B) $0.1260 to $0.1800 C) $0.1303 to $0.1757 D) $0.1339 to $0.1721 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 047 6) A random sample of 781 persons showed that 14.2% do not have any health insurance. Based on this sample, the 95% confidence interval for the proportion of all persons who do not have any health insurance, rounded to four decimal places, is: A) $0.1175 to $0.1665 B) $0.1214 to $0.1626 C) $0.1129 to $0.1711 D) $0.1098 to $0.1742 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 048

204

7) A researcher wants to make a 99% confidence interval for a population proportion. The most conservative estimate of the sample size that would limit the margin of error to be within 0.047 of the population proportion is: Answer: 754 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 049 8) A company wants to estimate, at a 95% confidence level, the proportion of all families who own its product. A preliminary sample showed that 32.5% of the families in this sample own this company's product. The sample size that would limit the margin of error to be within 0.031 of the population proportion is: Answer: 877 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 050 9) A company wants to estimate, at a 95% confidence level, the proportion of all families who own its product. The most conservative estimate of the sample size that would limit the margin of error to be within 0.036 of the population proportion is: Answer: 742 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 051 10) The Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. The most conservative estimate of the sample size that would limit the margin of error to be within 0.024 of the population proportion is: Answer: 1182 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 052 11) The Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. A preliminary sample showed that 19.0% of households in this sample receive welfare. The sample size that would limit the margin of error to be within 0.040 of the population proportion is: Answer: 262 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 053 205

12) In a 1997 poll of 249 male, married, upper-level managers conducted by Joy Schneer and Frieda Reitman for Fortune magazine, 30% of the men stated that their wives worked either full-time or part-time (Fortune, March 17, 1997). What are the boundaries for a 99% confidence interval for p, the proportion of all male, married, upper-level managers whose wives work?

A) 0.2251 to 0.3749 B) 0.2323 to 0.3677 C) 0.2431 to 0.3569 D) 0.2521 to 0.3479 Answer: A Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 054 13) Out of a sample of 681 gasoline purchases at a self-service gas station, 585 were made with a credit or debit card. Obtain the predeterminated margin of error. (Round your answer to three decimal places.)

Answer: 0.013 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 055 14) In a random sample of 63 items produced by a machine, the quality control staff found 9 of them to be defective. Calculate the point estimate of the population proportion of defective items.

Round to 4 decimal places.

Answer: 0.1429 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 056 15) A random sample of 703 persons showed that 581 do not have health insurance. Calculate the point estimate of the population proportion of persons who do not have health insurance. Round to 4 decimal places.

Answer: 0.8265 Diff: 2 LO: 8.4.0 Construct a confidence interval for the population proportion from a large sample.

Section: 8.4 Estimation of a Population Proportion: Large Samples Question Title: Chapter 08, Testbank Question 057

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

206

Introductory Statistics, 10e (Mann) Chapter 9 Hypothesis Tests About the Mean and Proportion 9.1

Hypothesis Tests: An Introduction

1) The null hypothesis is a claim about a: A) parameter, where the claim is assumed to be false until it is declared true B) parameter, where the claim is assumed to be true until it is declared false C) statistic, where the claim is assumed to be false until it is declared true D) statistic, where the claim is assumed to be true until it is declared false Answer: B Diff: 2 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 001 2) The alternative hypothesis is a claim about a: A) parameter, where the claim is assumed to be true until it is declared false B) parameter, where this claim is assumed to be true if the null hypothesis is declared false C) statistic, where the claim is assumed to be true if the null hypothesis is declared false D) statistic, where the claim is assumed to be false until it is declared true Answer: B Diff: 2 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 002 3) In a one-tailed hypothesis test, a critical point is a point that divides the area under the sampling distribution of a: A) statistic into one rejection region and one nonrejection region B) parameter into one rejection region and one nonrejection region C) statistic into one rejection region and two nonrejection regions D) parameter into two rejection regions and one nonrejection region Answer: A Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 003

207

4) In a two-tailed hypothesis test, the two critical points are the points that divide the area under the sampling distribution of a: A) statistic into two rejection regions and one nonrejection region B) parameter into one rejection region and one nonrejection region C) statistic into one rejection region and two nonrejection regions D) parameter into two rejection regions and one nonrejection region Answer: A Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 004 5) In a hypothesis test, a Type I error occurs when: A) a false null hypothesis is rejected B) a true null hypothesis is not rejected C) a false null hypothesis is not rejected D) a true null hypothesis is rejected Answer: D Diff: 2 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 005 6) In a hypothesis test, a Type II error occurs when: A) a false null hypothesis is rejected B) a true null hypothesis is not rejected C) a false null hypothesis is not rejected D) a true null hypothesis is rejected Answer: C Diff: 2 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 006 7) In a hypothesis test, the probability of committing a Type I error is called the: A) confidence level B) confidence interval C) significance level D) beta error Answer: C Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 007

208

8) A one-tailed hypothesis test contains: A) one rejection region and two nonrejection regions B) two rejection regions and one nonrejection region C) two rejection regions and two nonrejection regions D) one rejection region and one nonrejection region Answer: D Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 008 9) A two-tailed hypothesis test contains: A) one rejection region and two nonrejection regions B) two rejection regions and one nonrejection region C) two rejection regions and two nonrejection regions D) one rejection region and one nonrejection region Answer: B Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 009 10) In a left-tailed hypothesis test, the sign in the alternative hypothesis is: A) not equal to (≠) B) greater than (>) C) less than (<) D) less than or equal to (≤) Answer: C Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 010 11) In a right-tailed hypothesis test, the sign in the alternative hypothesis is: A) not equal to (≠) B) greater than (>) C) less than (<) D) less than or equal to (≤) Answer: B Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 011

209

12) In a two-tailed hypothesis test, the sign in the alternative hypothesis is: A) not equal to (≠) B) greater than (>) C) less than (<) D) less than or equal to (≤) Answer: A Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 012 13) A researcher wants to test if the mean price of houses in an area is greater than $145,000. The alternative hypothesis for this example will be that the population mean is: A) equal to $145,000 B) not equal to $145,000 C) greater than or equal to $145,000 D) greater than $145,000 Answer: D Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 013 14) A researcher wants to test if the mean price of houses in an area is greater than $145,000. The null hypothesis for this example will be that the population mean is: A) less than $145,000 B) not equal to $145,000 C) less than or equal to $145,000 D) greater than $145,000 Answer: C Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 014 15) A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The alternative hypothesis for this example will be that the population mean is: A) equal to $110,000 B) less than to $110,000 C) not equal to $110,000 D) greater than $110,000 Answer: C Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 015 210

16) A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is: A) equal to $110,000 B) less than to $110,000 C) not equal to $110,000 D) greater than $110,000 Answer: A Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 016 17) A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is: A) equal to 30 minutes B) not equal to 30 minutes C) less than or equal to 30 minutes D) less than 30 minutes Answer: D Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 017 18) A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The null hypothesis for this example will be that the population mean is: A) greater than 30 minutes B) not equal to 30 minutes C) greater than or equal to 30 minutes D) less than 30 minutes Answer: C Diff: 1 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 018

211

19) Which of the following statements describes a Type II error in hypothesis testing?

A) A court declares a defendant guilty, when he is actually innocent.

B) A scientist, trying to support a theory about the number of different species of animals in a particular country, declares the null hypothesis to be "there are 715 different species" when there are actually more than 800.

C) A statistician determines, through hypothesis testing, that the mean number of televisions per household in a certain community is 1.4, when it is actually greater than 1.4.

D) Through hypothesis testing, we find the alternative hypothesis to be true when it is actually false.

Answer: C Diff: 3 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 019 20) The power of a hypothesis test is .96. Which of the following statements is true about this test?

A) The probability of a Type II error is .04.

B) The probability of a Type I error is .04.

C) The probability of a Type II error is .96.

D) The probability of a Type I error is .96.

Answer: A Diff: 2 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 020 21) A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. Which of the following sets of hypotheses is correct for this test?

A) : μ ≤ 1.7; : μ > 1.7 B)

: μ ≥ 1.7;

: μ < 1.7

C)

: μ = 1.7;

: μ ≠ 1.7

D)

: μ > 1.7;

: μ < 1.7

Answer: C Diff: 2 LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction Question Title: Chapter 09, Testbank Question 021

212

9.2

Hypothesis Tests About μ: σ Known

1) The p-value is the: A) largest significance level at which the null hypothesis can be rejected B) largest significance level at which the alternative hypothesis can be rejected C) smallest significance level at which the null hypothesis can be rejected D) smallest significance level at which the alternative hypothesis can be rejected Answer: C Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 022 2) For a one-tailed test, the p-value is: A) the area under the curve between the mean and the observed value of the sample statistic B) twice the area under the curve between the mean and the observed value of the sample statistic C) the area under the curve beyond the value of the sample statistic on the side specified in the alternative hypothesis D) twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis Answer: C Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 023 3) For a two-tailed test, the p-value is: A) the area under the curve between the mean and the observed value of the sample statistic B) twice the area under the curve between the mean and the observed value of the sample statistic C) the area in the tail under the curve on the side which the sample statistic lies D) twice the area in the tail under the curve on the side which the sample statistic lies Answer: D Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 024

213

4) The following four steps must be taken to perform a hypothesis test using the p-value approach: 1. Calculate the p-value.

2. Select the distribution to use.

3. Make a decision.

4. State the null and alternative hypotheses and determine the significance level.

The correct order for performing these steps is: A) 4, 1, 2, 3 B) 2, 3, 1, 4 C) 4, 2, 1, 3 D) 3, 2, 1, 4 Answer: C Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 025 5) A two-tailed hypothesis test using the normal distribution reveals that the area in the tail under the curve on the side which the sample statistic lies equals 0.016. Consequently, the p-value for this test equals: Answer: 0.032 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 026

214

6) The following five steps must be performed to conduct a hypothesis test using the critical-value approach: 1. Calculate the value of the test statistic.

2. Select the distribution to use.

3. Make a decision.

4. Determine the rejection and nonrejection regions.

5. State the null and alternative hypotheses and determine the significance level.

The correct order for performing these steps is: A) 4, 1, 2, 3, 5 B) 5, 2, 4, 1, 3 C) 5, 4, 2, 1, 3 D) 5, 1, 2, 3, 4 Answer: B Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 027 7) After each team completes 100 games through the season, suppose that the batting average for all major league baseball players is 0.257 and the standard deviation is 0.038. The null hypothesis is that American League infielders average the same as all other major league players. A sample of 42 players taken from the American League reveals a mean batting average of 0.259. What is the value of the test statistic, z? (Round your answer to two decimal places.)

Answer: 0.34 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 028 8) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 33 elements selected from the population produced a mean of 61.2. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Answer: 0.2101 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 029

215

9) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 74 elements selected from the population produced a mean of 34.9. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Answer: 0.0224 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 030 10) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 116 elements selected from the population produced a mean of 128.3. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Answer: 0.0759 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 031 11) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 40 elements selected from the population produced a mean of 74.3. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Answer: 0.6340 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 032 12) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 102 elements selected from the population produced a mean of 137.3. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Answer: 0.1589 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 033

216

13) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 62 elements selected from the population produced a mean of 91.5. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Answer: 0.3498 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 034 14) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 99 elements selected from the population produced a mean of 74.7. Assume that and that the test is to be made at the 1% significance level. What is the critical value of z?

A) 2.33 B) 2.58 C) -2.33 D) -2.58 Answer: C Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 035 15) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 97 elements selected from the population produced a mean of 73.4. Assume that and that the test is to be made at the 1% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: -2.579 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 036

217

16) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 104 elements selected from the population produced a mean of 75.8. Assume that and that the test is to be made at the 2% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0307 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 037 17) In a hypothesis test with the null and alternative hypotheses

and

a

random sample of 101 elements selected from the population produced a mean of 75.8. Assume that and that the test is to be made at the 3% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 038 18) In a hypothesis test with null and alternative hypotheses

and

a

random sample of 60 elements selected from the population produced a mean of 46.2. Assume that and that the test is to be made at the 2.5% significance level. What is the critical value of z? What is the critical value of z?

A) -1.96 B) 1.65 C) 1.96 D) -1.65 Answer: C Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 039

218

19) In a hypothesis test with null and alternative hypotheses

and

a

random sample of 61 elements selected from the population produced a mean of 47.1. Assume that and that the test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: 2.603 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 040 20) In a hypothesis test with null and alternative hypotheses

and

a

random sample of 61 elements selected from the population produced a mean of 47.3. Assume that and that the test is to be made at the 2.5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0037 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 041 21) In a hypothesis test with null and alternative hypotheses

and

a

random sample of 61 elements selected from the population produced a mean of 47.2. Assume that and that the test is to be made at the 2.5% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 042

219

22) In a hypothesis test with hypotheses

and

a random sample of 36

elements selected from the population produced a mean of 22.3. Assume that and that the test is to be made at the 1% significance level. What are the critical values of z?

A) -2.07 and 2.07 B) -2.58 and 2.58 C) -2.33 and 2.33 D) -1.96 and 1.96 Answer: B Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 043 23) In a hypothesis test with hypotheses

and

a random sample of 39

elements selected from the population produced a mean of 22.8. Assume that and that the test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: -2.025 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 044 24) In a hypothesis test with hypotheses

and

a random sample of 37

elements selected from the population produced a mean of 25.2. Assume that and that the test is to be made at the 1% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.2315 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 045

220

25) In a hypothesis test with hypotheses

and

a random sample of 38

elements selected from the population produced a mean of 25.9. Assume that and that the test is to be made at the 2% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 046 26) In a hypothesis test with hypotheses

: μ ≥ 136 and

: μ < 136, a random sample of 77

elements selected from the population produced a mean of 133.3. Assume that and that the test is to be made at the 5% significance level. What is the critical value of z?

A) 1.96 B) -1.96 C) -1.645 D) 1.645 Answer: C Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 047 27) In a hypothesis test with hypotheses

: μ ≥ 136 and

: μ < 136, a random sample of 71

elements selected from the population produced a mean of 132.7. Assume that and that the test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: -1.495 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 048

221

28) In a hypothesis test with hypotheses

: μ ≥ 136 and

: μ < 136, a random sample of 66

elements selected from the population produced a mean of 131.3. Assume that and that the test is to be made at the 1% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0345 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 049 29) In a hypothesis test with hypotheses

: μ ≥ 136 and

: μ < 136, a random sample of 65

elements selected from the population produced a mean of 132.4. Assume that and that the test is to be made at the 1% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 050 30) In a hypothesis test with hypotheses

and

, a random sample of 112

elements selected from the population produced a mean of 52.8. Assume that and that the test is to be made at the 2% significance level. What is the critical value of z?

A) 2.05 B) 2.33 C) -1.645 D) -2.33 Answer: B Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 051

222

31) In a hypothesis test with hypotheses

and

, a random sample of 124

elements selected from the population produced a mean of 55.9. Assume that and that the test is to be made at the 3% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: 2.820 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 052 32) In a hypothesis test with hypotheses

and

, a random sample of 112

elements selected from the population produced a mean of 55.3. Assume that and that the test is to be made at the 2% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0058 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 053 33) In a hypothesis test with hypotheses

and

, a random sample of 130

elements selected from the population produced a mean of 53.1. Assume that and that the test is to be made at the 2% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 054

223

34) In a hypothesis test with hypotheses

: μ = 90 and

: μ ≠ 90, a random sample of 106

elements selected from the population produced a mean of 85.0. Assume that and that the test is to be made at the 5% significance level. What are the critical values of z?

A) -1.28 and 1.28 B) -1.645 and 1.645 C) -1.96 and 1.96 D) -2.33 and 2.33 Answer: C Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 055 35) In a hypothesis test with hypotheses

: μ = 90 and

: μ ≠ 90, a random sample of 106

elements selected from the population produced a mean of 92.2. Assume that and that the test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: 1.245 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 056 36) In a hypothesis test with hypotheses

: μ = 90 and

: μ ≠ 90, a random sample of 107

elements selected from the population produced a mean of 88.4. Assume that and that the test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.4775 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 057

224

37) In a hypothesis test with hypotheses

: μ = 90 and

: μ ≠ 90, a random sample of 104

elements selected from the population produced a mean of 93. Assume that and that the test is to be made at the 10% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 058 38) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 36 houses selected from the area produces a mean price of $149,000. Assume that and that the test is to be made at the 1% significance level. What is the critical value of z?

A) 2.33 B) 2.58 C) 1.96 D) 1.645 Answer: A Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 059 39) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 37 houses selected from the area produces a mean price of $149,900. Assume that and that the test is to be made at the 2% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: 2.443 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 060

225

40) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 38 houses selected from the area produces a mean price of $148,700. Assume that and that the test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0329 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 061 41) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 33 houses selected from the area produces a mean price of $148,100. Assume that and that the test is to be made at the 3% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 062 42) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers selected from the city reveals a mean annual salary of $113,500. Assume that and that the test is to be made at the 10% significance level.

What are the critical values of z?

A) -1.88 and 1.88 B) -1.645 and 1.645 C) -1.28 and 1.28 D) -3.02 and 3.02 Answer: B Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 063

226

43) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 47 lawyers selected from the city reveals a mean annual salary of $103,500. Assume that and that the test is to be made at the 2% significance level.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: -2.591 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 064 44) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 47 lawyers selected from the city reveals a mean annual salary of $117,000. Assume that and that the test is to be made at the 5% significance level.

What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0095 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 065 45) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 50 lawyers selected from the city reveals a mean annual salary of $113,500. Assume that and that the test is to be made at the 1% significance level.

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 066

227

46) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 60 children from the school shows that they spend an average of 27.0 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. What is the critical value of z?

A) -2.06 B) -2.33 C) -2.58 D) -1.96 Answer: B Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 067 47) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 64 children from the school shows that they spend an average of 25.7 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: -2.293 Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 068 48) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 66 children from the school shows that they spend an average of 25.6 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0194 Diff: 2 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 069

228

49) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 68 children from the school shows that they spend an average of 27.3 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. Should you reject or fail to reject the null hypothesis in this test?

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known Question Title: Chapter 09, Testbank Question 070 9.3

Hypothesis Tests About μ: σ Not Known

1) If the significance level of a hypothesis test is 5%, we will reject the null hypothesis if the p-value is A) greater than 0.99 B) less than 0.005 C) less than 0.01 D) greater than 0.005 Answer: C Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 071 2) We use the t distribution to perform a hypothesis test about the population mean when: A) the population from which the sample is drawn is approximately normal and the population standard deviation is known B) the population from which the sample is drawn is not approximately normal and the population standard deviation is known C) the population from which the sample is drawn is approximately normal or sample size is 30 or larger and the population standard deviation is unknown D) the population from which the sample is drawn is not approximately normal and the population standard deviation is unknown Answer: C Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 072

229

3) Which of the following conditions is not required to use the t distribution to perform a hypothesis test about a population mean?

A) The population from which the sample is drawn is approximately normal or sample size is 30 or larger B) The population from which the sample is drawn has a t distribution C) The population standard deviation is unknown D) The sample does not have any extreme outliers Answer: B Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 073 4) In a hypothesis test with hypotheses

and

a random sample of 24

elements selected from the population produced a mean of 60.0 and a standard deviation of 14.9.

The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t?

A) 1.318 B) 1.28 C) -1.319 D) 1.319 Answer: D Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 074 5) In a hypothesis test with hypotheses

and

a random sample of 24

elements selected from the population produced a mean of 59.8 and a standard deviation of 14.2.

The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Answer: 2.001 Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 075

230

6) In a hypothesis test with hypotheses

and

a random sample of 24

elements selected from the population produced a mean of 59.7 and a standard deviation of 15.0.

The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the p-value for this hypothesis test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0377 Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 076 7) In a hypothesis test with hypotheses

and

a random sample of 24

elements selected from the population produced a mean of 59.8 and a standard deviation of 13.0.

The test is to be made at the 10% significance level. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 077 8) In a hypothesis test with hypotheses

and

a random sample of 16

elements selected from the population produced a mean of 91.5 and a standard deviation of 4.8.

The test is to be made at the 5% significance level. Assume the population is normally distributed.

What are the critical values of t?

A) -1.96 and 1.96 B) -2.131 and 2.131 C) -1.753 and 1.753 D) -2.120 and 2.120 Answer: B Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 078

231

9) In a hypothesis test with hypotheses

and

a random sample of 16

elements selected from the population produced a mean of 93.5 and a standard deviation of 4.5.

The test is to be made at the 2% significance level. Assume the population is normally distributed.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 3.111 Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 079 10) In a hypothesis test with hypotheses

and

a random sample of 16

elements selected from the population produced a mean of 88.3 and a standard deviation of 5.5.

The test is to be made at the 1% significance level. Assume the population is normally distributed.

What is the p-value for this hypothesis test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.2353 Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 080 11) In a hypothesis test with hypotheses

and

a random sample of 16

elements selected from the population produced a mean of 86.1 and a standard deviation of 5.7.

The test is to be made at the 10% significance level. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 081

232

12) In a hypothesis test with hypotheses

and

a random sample of 20

elements selected from the population produced a mean of 70.2 and a standard deviation of 13.5.

The significance level is 5%. Assume the population is normally distributed. What is the critical value of t?

A) -1.645 B) -1.725 C) -1.729 D) -2.093 Answer: C Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 082 13) In a hypothesis test with hypotheses

and

a random sample of 20

elements selected from the population produced a mean of 67.9 and a standard deviation of 11.8.

The significance level is 10%. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Answer: -2.312 Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 083 14) In a hypothesis test with hypotheses

and

a random sample of 20

elements selected from the population produced a mean of 69.2 and a standard deviation of 13.9.

The significance level is 2.5%. Assume the population is normally distributed. What is the p-value for this hypothesis test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0695 Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 084

233

15) In a hypothesis test with hypotheses

and

a random sample of 20

elements selected from the population produced a mean of 70 and a standard deviation of 12. The significance level is 1%. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 085 16) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1099 hours and a standard deviation of 159 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the critical value of t?

A) -1.704 B) -1.711 C) -2.797 D) -2.787 Answer: B Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 086 17) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1071 hours and a standard deviation of 135 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Answer: -2.926 Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 087

234

18) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1083 hours and a standard deviation of 174 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the p-value for this hypothesis test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0331 Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 088 19) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1096 hours and a standard deviation of 161 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 089 20) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1091 hours and a standard deviation of 195 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs? (State your answer as "no" or "yes", but don't include the quotation marks.)

Answer: no Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 090

235

21) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.32 seconds. The significance level is 5%. What are the critical values of t?

A) -1.683 and 1.683 B) -1.684 and 1.684 C) -2.020 and 2.020 D) -2.021 and 2.021 Answer: D Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 091 22) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.75 seconds and a standard deviation of 7.10 seconds. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: 2.480 Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 092 23) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.85 seconds and a standard deviation of 7.61 seconds. The significance level is 5%. What is the p-value for this hypothesis test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0212 Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 093

236

24) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 27.10 seconds and a standard deviation of 7.18 seconds. The significance level is 5%. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 094 25) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 47.5 pounds was collected, with a standard deviation of 9.2 pounds. The significance level is 2%. What is the critical value of t?

A) -1.803 B) -1.988 C) -2.133 D) -2.438 Answer: C Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 095 26) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 48.5 pounds was collected, with a standard deviation of 7.7 pounds. The significance level is 2%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: -1.169 Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 096

237

27) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 46.0 pounds was collected, with a standard deviation of 8.1 pounds. The significance level is 2%. What is the p-value for this hypothesis test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0027 Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 097 28) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 48.3 pounds was collected, with a standard deviation of 8.0 pounds. The significance level is 2%. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 098 29) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 46.8 pounds was collected, with a standard deviation of 7.6 pounds. The significance level is 2%. Does the data provide evidence to suggest that the goal is not being met? (State your answer as "no" or "yes", but don't include the quotation marks.)

Answer: yes Diff: 2 LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known Question Title: Chapter 09, Testbank Question 099

238

9.4

Hypothesis Tests About a Population Proportion: Large Samples

1) In a hypothesis test with hypotheses

: p ≤ 0.39 and

: p > 0.39, a random sample of size

510 produced a sample proportion of 0.4475. The test is to be made at the 1% significance level.

What is the critical value of z?

A) 2.58 B) 2.33 C) 2.12 D) 2.72 Answer: B Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 100 2) In a hypothesis test with hypotheses

: p ≤ 0.39 and

: p > 0.39, a random sample of size

499 produced a sample proportion of 0.4500. The test is to be made at the 3% significance level.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: 2.748 Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 101 3) In a hypothesis test with hypotheses

: p ≤ 0.39 and

: p > 0.39, a random sample of size

504 produced a sample proportion of 0.4425. The test is to be made at the 10% significance level.

What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0078 Diff: 2 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 102 4) In a hypothesis test with hypotheses

: p ≤ 0.39 and

: p > 0.39, a random sample of size

509 produced a sample proportion of 0.45. The test is to be made at the 10% significance level.

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 103

239

5) In a hypothesis test with hypotheses

and

a random sample of size

1002 produced a sample proportion of 0.7205. The test is to be made at the 5% significance level.

What is the critical value of z?

A) -2.05 B) -2.33 C) -1.96 D) -1.65 Answer: D Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 104 6) In a hypothesis test with hypotheses

and

a random sample of size

1012 produced a sample proportion of 0.7455. The test is to be made at the 5% significance level.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: -1.080 Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 105 7) In a hypothesis test with hypotheses

and

a random sample of size

948 produced a sample proportion of 0.7480. The test is to be made at the 5% significance level.

What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.1935 Diff: 2 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 106 8) In a hypothesis test with hypotheses

and

a random sample of size

998 produced a sample proportion of 0.7255. The test is to be made at the 5% significance level.

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 107

240

9) In a hypothesis test with hypotheses

and

a random sample of size

846 produced a sample proportion of 0.2325. The test is to be made at the 2% significance level.

What are the critical values of z?

A) -1.88 and 1.88 B) -2.05 and 2.05 C) -2.33 and 2.33 D) -1.983 and 1.983 Answer: C Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 108 10) In a hypothesis test with hypotheses

and

a random sample of size

809 produced a sample proportion of 0.2775. The test is to be made at the 2% significance level.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: 1.135 Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 109 11) In a hypothesis test with hypotheses

and

a random sample of size

757 produced a sample proportion of 0.2300. The test is to be made at the 5% significance level.

What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0599 Diff: 2 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 110 12) In a hypothesis test with hypotheses

and

a random sample of size

811 produced a sample proportion of 0.2200. The test is to be made at the 2% significance level.

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 111

241

13) In a hypothesis test with hypotheses

and

a random sample of size

1179 produced a sample proportion of 0.6235. The test is to be made at the 2.5% significance level. What is the critical value of z?

A) 1.65 B) 2.33 C) 1.96 D) 2.58 Answer: C Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 112 14) In a hypothesis test with hypotheses

and

a random sample of size

1129 produced a sample proportion of 0.5910. The test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Answer: 0.749 Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 113 15) In a hypothesis test with hypotheses

and

a random sample of size

1194 produced a sample proportion of 0.6260. The test is to be made at the 2.5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0006 Diff: 2 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 114 16) In a hypothesis test with hypotheses

and

a random sample of size

1130 produced a sample proportion of 0.6010. The test is to be made at the 2.5% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 115

242

17) In a hypothesis test with hypotheses

and

a random sample of size

591 produced a sample proportion of 0.2605. The test is to be made at the 10% significance level.

What is the critical value of z?

A) -1.645 B) -1.28 C) -2.05 D) -1.714 Answer: B Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 116 18) In a hypothesis test with hypotheses

and

a random sample of size

567 produced a sample proportion of 0.2655. The test is to be made at the 1% significance level.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: -2.291 Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 117 19) In a hypothesis test with hypotheses

and

a random sample of size

507 produced a sample proportion of 0.253. The test is to be made at the 10% significance level.

What is the p-value for this hypothesis test, rounded to four decimal places?

Answer: 0.0028 Diff: 2 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 118

243

20) In a hypothesis test with hypotheses

and

a random sample of size

541 produced a sample proportion of 0.2705. The test is to be made at the 2% significance level.

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples Question Title: Chapter 09, Testbank Question 119

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

244

Introductory Statistics, 10e (Mann) Chapter 10 Estimation and Hypothesis Testing: Two Populations 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: and Known 1) Suppose the following information is obtained from two independent samples selected from normally distributed populations. = 14

= 30

= 3.2

= 17

= 28

= 3.4

What is the point estimate of μ1 - μ2?

Answer: 2 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 001 2) Suppose the following information is obtained from two independent samples selected from normally distributed populations. = 14

= 30

= 3.3

= 18

= 28

= 3.3

Construct a 95% confidence interval for μ1 - μ2, Rounded to three decimal places.

Answer: (-0.305, 4.305) Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 002

245

3) Suppose the following information is obtained from two independent samples selected from normally distributed populations. = 13

= 31

= 3.3

= 17

= 28

= 3.4

Find the margin of error for the 95% confidence interval.

Answer: 2.415 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 003 4) Two samples drawn from two populations are independent if: A) the selection of one sample from a population is not related to the selection of the second sample from the same population B) the selection of one sample from one population does not affect the selection of the second sample from the second population C) the selection of one sample from a population is related to the selection of the second sample from the same population D) two samples selected from the same population have no relation Answer: B Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 004

246

5) Two samples drawn from two populations are dependent if: A) the selection of one sample from a population is not related to the selection of the second sample from the same population B) the selection of one sample from one population is not related to the selection of the second sample from the second population C) for each data value collected from one sample there corresponds another data value collected from the second sample and both data values are collected from the same source D) two samples selected from the same population have no relation Answer: C Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 005 6) The mean G.P.A (grade point average) of all male students at a college is 2.66 and the mean G.P.A of all female students at the same college is 2.98. The standard deviations of the G.P.As are 0.39 for the males and 0.35 for the females. Suppose we take one sample of 29 male students and another sample of 36 female students from this college. Assume the populations are normally distributed. What is the mean, rounded to two decimal places, of the sampling distribution of the difference between the mean G.P.As for males and females?

Answer: -0.32 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 006 7) The mean G.P.A (grade point average) of all male students at a college is 2.63 and the mean G.P.A of all female students at the same college is 2.90. The standard deviations of the G.P.As are 0.36 for the males and 0.34 for the females. Suppose we take one sample of 42 male students and another sample of 46 female students from this college. Assume the populations are normally distributed. What is the standard deviation of the sampling distribution of the difference between the mean G.P.As for males and females, rounded to four decimal places?

Answer: 0.0748 Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 007 247

8) The mean weekly earnings of all female workers in a state is $776 and the mean weekly earnings of all male workers in the same state is $721. The standard deviations of the weekly earnings are $88 for the females and $99 for the males. Suppose we take one sample of 322 female workers and another sample of 292 male workers from this state. What is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males?

Answer: $55 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 008 9) The mean weekly earnings of all female workers in a state is $703 and the mean weekly earnings of all male workers in the same state is $794. The standard deviations of the weekly earnings are $77 for the females and $113 for the males. Suppose we take one sample of 333 female workers and another sample of 309 male workers from this state. What is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?

Answer: -$91 Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 009 10) The mean job-related stress score for all corporate managers is 7.90 and the mean job-related stress score for all college professors is 5.50. The population standard deviations of the job-related stress scores are 0.54 for the corporate managers and 1.02 for the college professors. Suppose we take one sample of 180 corporate managers and another sample of 236 college professors. What is the mean, rounded to two decimal places, of the sampling distribution of the difference between the mean stress scores for corporate managers and college professors?

Answer: 2.40 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 010

248

11) The mean job-related stress score for all corporate managers is 8.20 and the mean job-related stress score for all college professors is 5.25. The population standard deviations of the job-related stress scores are 0.59 for the corporate managers and 0.97 for the college professors. Suppose we take one sample of 209 corporate managers and another sample of 235 college professors. What is the standard deviation of the sampling distribution of the difference between the mean stress scores for corporate managers and college professors, rounded to four decimal places?

Answer: 0.0753 Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 011 12) A sample of 52 female workers and another sample of 74 male workers from a state produced mean weekly earnings of $735.83 for the females and $771.21 for the males. Suppose that the population standard deviations of the weekly earnings are $80.23 for the females and $84.29 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state.

A) -64.44 to -6.32 B) -69.92 to -0.84 C) -73.63 to 2.87 D) -59.84 to -10.92 Answer: A Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 012

249

13) A sample of 80 female workers and another sample of 53 male workers from a state produced mean weekly earnings of $730.73 for the females and $775.09 for the males. Suppose that the population standard deviations of the weekly earnings are $84.36 for the females and $100.89 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. The significance level for the test is 1%. What is the critical value of z?

A) -2.58 B) -1.96 C) -2.33 D) -2.17 Answer: C Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 013 14) A sample of 80 female workers and another sample of 68 male workers from a state produced mean weekly earnings of $739.50 for the females and $769.95 for the males. Suppose that the population standard deviations of the weekly earnings are $82.28 for the females and $89.02 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. What is the value of the test statistic, rounded to three decimal places?

Answer: -2.147 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 014

250

15) A sample of 47 female workers and another sample of 73 male workers from a state produced mean weekly earnings of $727.01 for the females and $771.02 for the males. Suppose that the population standard deviations of the weekly earnings are $84.44 for the females and $94.02 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. What is the p-value for this test, rounded to four decimal places?

Answer: 0.0039 Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 015 16) A sample of 48 female workers and another sample of 64 male workers from a state produced mean weekly earnings of $742.77 for the females and $768.03 for the males. Suppose that the population standard deviations of the weekly earnings are $74.46 for the females and $86.31 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 016

251

17) A sample of 48 male students and another sample of 50 female students from the same college produced mean GPAs of 2.67 for the males and 2.92 for the females. Suppose that the population standard deviations of the GPAs are 48 for the males and 50 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. Derive the corresponding 99% confidence interval for the difference between the mean GPAs for all male and female students at this college, rounded to three decimal places.

A) -0.585 to 0.085 B) -0.552 to 0.052 C) -0.504 to 0.004 D) -0.464 to -0.036 Answer: A Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 017 18) A sample of 44 male students and another sample of 44 female students from the same college produced mean GPAs of 2.59 for the males and 2.93 for the females. Suppose that the population standard deviations of the GPAs are 44 for the males and 44 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. The significance level for the test is 2.5%. What is the critical value of z?

A) -2.58 B) -1.96 C) -2.33 D) -1.65 Answer: B Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 018

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19) A sample of 33 male students and another sample of 30 female students from the same college produced mean GPAs of 2.68 for the males and 2.91 for the females. Suppose that the population standard deviations of the GPAs are 33 for the males and 30 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. What is the value of the test statistic, rounded to three decimal places?

Answer: -1.383 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 019 20) A sample of 31 male students and another sample of 41 female students from the same college produced mean GPAs of 2.67 for the males and 2.88 for the females. Suppose that the population standard deviations of the GPAs are 31 for the males and 41 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. What is the p-value for this test, rounded to four decimal places?

Answer: 0.0896 Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 020 21) A sample of 39 male students and another sample of 35 female students from the same college produced mean GPAs of 2.65 for the males and 2.87 for the females. Suppose that the population standard deviations of the GPAs are 39 for the males and 35 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 021

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22) A sample of 149 corporate managers and another sample of 154 college professors produced mean job-related stress scores of 7.40 for the managers and 6.85 for the professors. Suppose that the population standard deviations of the stress scores are 1.10 for the managers and 1.82 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. Derive the corresponding 90% confidence interval for the difference between the mean stress scores for all corporate managers and college professors, rounded to three decimal places.

A) 0.266 to 0.834 B) 0.213 to 0.887 C) 0.149 to 0.951 D) 0.106 to 0.994 Answer: A Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 022 23) A sample of 127 corporate managers and another sample of 141 college professors produced mean job-related stress scores of 7.22 for the managers and 6.78 for the professors. Suppose that the population standard deviations of the stress scores are 1.37 for the managers and 1.85 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. The significance level for the test is 1%.

What are the critical values of z?

A) -2.58 and 2.58 B) -1.96 and 1.96 C) -2.33 and 2.33 D) -3.09 and 3.09 Answer: A Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 023

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24) A sample of 120 corporate managers and another sample of 158 college professors produced mean job-related stress scores of 7.26 for the managers and 6.79 for the professors. Suppose that the population standard deviations of the stress scores are 1.14 for the managers and 1.84 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. What is the value of the test statistic, rounded to three decimal places?

Answer: 2.617 Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 024 25) A sample of 130 corporate managers and another sample of 156 college professors produced mean job-related stress scores of 7.26 for the managers and 6.90 for the professors. Suppose that the population standard deviations of the stress scores are 1.13 for the managers and 1.71 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. What is the p-value for this test, rounded to four decimal places?

Answer: 0.0332 Diff: 2 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 025 26) A sample of 130 corporate managers and another sample of 168 college professors produced mean job-related stress scores of 7.36 for the managers and 7.01 for the professors. Suppose that the population standard deviations of the stress scores are 1.34 for the managers and 1.85 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known Question Title: Chapter 10, Testbank Question 026 255

10.2 Inferences About the Difference Between Two Population Means for Independent Samples: and Unknown but Equal 1) A sample of 20 from a population produced a mean of 65.9 and a standard deviation of 8.5. A sample of 25 from another population produced a mean of 60.9 and a standard deviation of 11.5.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the pooled standard deviation of the two samples, rounded to three decimal places?

Answer: 10.283 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 027 2) A sample of 20 from a population produced a mean of 64.5 and a standard deviation of 9.4. A sample of 25 from another population produced a mean of 58.1 and a standard deviation of 12.3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Answer: 3.334 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 028

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3) A sample of 20 from a population produced a mean of 66.9 and a standard deviation of 8.1. A sample of 25 from another population produced a mean of 59.5 and a standard deviation of 11.8.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

Derive the corresponding 95% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) 1.149 to 13.651 B) 1.159 to 13.641 C) 2.191 to 12.609 D) 2.197 to 12.603 Answer: A Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 029 4) A sample of 20 from a population produced a mean of 66.4 and a standard deviation of 8.7. A sample of 25 from another population produced a mean of 59.5 and a standard deviation of 12.6.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What are the critical values of t for the hypothesis test?

A) -2.014 and 2.014 B) -2.017 and 2.017 C) -1.681 and 1.681 D) -1.679 and 1.679 Answer: B Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 030

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5) A sample of 20 from a population produced a mean of 65.4 and a standard deviation of 9.6. A sample of 25 from another population produced a mean of 59.1 and a standard deviation of 12.6.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 1.847 Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 031 6) A sample of 20 from a population produced a mean of 66.9 and a standard deviation of 9.3. A sample of 25 from another population produced a mean of 58.7 and a standard deviation of 12.7.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0201 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 032

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7) A sample of 20 from a population produced a mean of 65.0 and a standard deviation of 9.6. A sample of 25 from another population produced a mean of 60.0 and a standard deviation of 12.6.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different.

Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 033 8) A sample of 16 from a population produced a mean of 84.3 and a standard deviation of 14.4. A sample of 18 from another population produced a mean of 73.0 and a standard deviation of 15.3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the pooled standard deviation of the two samples, rounded to three decimal places?

Answer: 14.885 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 034

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9) A sample of 16 from a population produced a mean of 83.6 and a standard deviation of 12.5. A sample of 18 from another population produced a mean of 74.7 and a standard deviation of 15.9.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Answer: 4.950 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 035 10) A sample of 16 from a population produced a mean of 865 and a standard deviation of 140. A sample of 18 from another population produced a mean of 743 and a standard deviation of 169.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

Derive the corresponding 99% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -24.832 to 268.832 B) -9.333 to 253.333 C) -8.904 to 252.904 D) -24.564 to 268.564 Answer: A Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 036

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11) A sample of 16 from a population produced a mean of 87.5 and a standard deviation of 14.7. A sample of 18 from another population produced a mean of 71.6 and a standard deviation of 16.9.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the critical value of t for the hypothesis test?

A) 2.738 B) 2.449 C) 2.441 D) 2.733 Answer: B Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 037 12) A sample of 16 from a population produced a mean of 85.0 and a standard deviation of 15.0. A sample of 18 from another population produced a mean of 75.1 and a standard deviation of 16.5.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 1.822 Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 038

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13) A sample of 16 from a population produced a mean of 85.2 and a standard deviation of 13.3. A sample of 18 from another population produced a mean of 73.8 and a standard deviation of 15.1.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0134 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 039 14) A sample of 16 from a population produced a mean of 86.7 and a standard deviation of 13.2. A sample of 18 from another population produced a mean of 76 and a standard deviation of 15.4.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 040

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15) A sample of 27 from a population produced a mean of 75.2 and a standard deviation of 8.2. A sample of 22 from another population produced a mean of 79.9 and a standard deviation of 7.8.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the pooled standard deviation of the two samples, rounded to three decimal places?

Answer: 8.024 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 041 16) A sample of 27 from a population produced a mean of 75.2 and a standard deviation of 8.3. A sample of 22 from another population produced a mean of 79.4 and a standard deviation of 6.0.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Answer: 2.114 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 042

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17) A sample of 27 from a population produced a mean of 74.7 and a standard deviation of 7.2. A sample of 22 from another population produced a mean of 78.5 and a standard deviation of 6.2.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

Derive the corresponding 90% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -7.063 to -0.537 B) -5.757 to -1.843 C) -6.410 to -1.190 D) -7.009 to -0.575 Answer: A Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 043 18) A sample of 27 from a population produced a mean of 75.1 and a standard deviation of 7.0. A sample of 22 from another population produced a mean of 79.4 and a standard deviation of 8.0.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the critical value of t for the hypothesis test?

A) -2.012 B) -2.009 C) -2.685 D) -1.678 Answer: A Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 044

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19) A sample of 27 from a population produced a mean of 74.7 and a standard deviation of 7.4. A sample of 22 from another population produced a mean of 79.9 and a standard deviation of 6.0.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: -2.659 Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 045 20) A sample of 27 from a population produced a mean of 74.3 and a standard deviation of 7.6. A sample of 22 from another population produced a mean of 80 and a standard deviation of 7.7.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0063 Diff: 2 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 046

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21) A sample of 27 from a population produced a mean of 74.6 and a standard deviation of 8.2. A sample of 22 from another population produced a mean of 79.1 and a standard deviation of 6.3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal Question Title: Chapter 10, Testbank Question 047 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: and Unknown and Unequal 1) A sample of 14 from a population produced a mean of 56.9 and a standard deviation of 7. A sample of 20 from another population produced a mean of 50.7 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the number of degrees of freedom of the t distribution to make a confidence interval for the difference between the two population means?

Answer: 31 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 048

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2) A sample of 14 from a population produced a mean of 55.8 and a standard deviation of 7. A sample of 20 from another population produced a mean of 51.5 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Answer: 2.915 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 049 3) A sample of 14 from a population produced a mean of 54.9 and a standard deviation of 7. A sample of 20 from another population produced a mean of 50.9 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

Derive the corresponding 90% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -0.945 to 8.945 B) -1.948 to 9.948 C) -1.907 to 9.907 D) -1.962 to 9.962 Answer: A Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 050

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4) A sample of 14 from a population produced a mean of 56.9 and a standard deviation of 7. A sample of 20 from another population produced a mean of 51.9 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What are the critical values of t for the hypothesis test?

A) -2.040 and 2.040 B) -1.696 and 1.696 C) -2.026 and 2.026 D) -2.045 and 2.045 Answer: B Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 051 5) A sample of 14 from a population produced a mean of 56.6 and a standard deviation of 7. A sample of 20 from another population produced a mean of 52.1 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 1.543 Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 052

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6) A sample of 14 from a population produced a mean of 57 and a standard deviation of 7. A sample of 20 from another population produced a mean of 50.6 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0358 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 053 7) A sample of 14 from a population produced a mean of 55 and a standard deviation of 7. A sample of 20 from another population produced a mean of 51.4 and a standard deviation of 10.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

Do you reject or fail to reject the null hypothesis at the 10% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 054

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8) A sample of 12 from a population produced a mean of 86.5 and a standard deviation of 16. A sample of 16 from another population produced a mean of 74.3 and a standard deviation of 14.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the number of degrees of freedom of the t distribution to make a confidence interval for the difference between the two population means?

Answer: 21 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 055 9) A sample of 12 from a population produced a mean of 85.9 and a standard deviation of 16. A sample of 16 from another population produced a mean of 75.6 and a standard deviation of 14.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Answer: 5.795 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 056

270

10) A sample of 12 from a population produced a mean of 84.2 and a standard deviation of 16. A sample of 16 from another population produced a mean of 72.5 and a standard deviation of 14.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

Derive the corresponding 99% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -4.706 to 28.106 B) -0.354 to 23.754 C) -1.739 to 25.139 D) -1.693 to 25.093 Answer: A Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 057 11) A sample of 12 from a population produced a mean of 83.0 and a standard deviation of 16. A sample of 16 from another population produced a mean of 71.7 and a standard deviation of 14.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the critical value of t for the hypothesis test?

A) 2.319 B) 2.311 C) 1.997 D) 2.080 Answer: D Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 058

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12) A sample of 12 from a population produced a mean of 86.2 and a standard deviation of 16. A sample of 16 from another population produced a mean of 74.0 and a standard deviation of 14.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 2.105 Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 059 13) A sample of 12 from a population produced a mean of 83.6 and a standard deviation of 0.0346.

A sample of 16 from another population produced a mean of 72.5 and a standard deviation of 0.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0346 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 060

272

14) A sample of 12 from a population produced a mean of 87.1 and a standard deviation of 0. A sample of 16 from another population produced a mean of 75.0 and a standard deviation of 0.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 061 15) A sample of 16 from a population produced a mean of 30.3 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.0 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the number of degrees of freedom of the t distribution to make a confidence interval for the difference between the two population means?

Answer: 27 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 062

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16) A sample of 16 from a population produced a mean of 31.1 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.0 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Answer: 1.225 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 063 17) A sample of 16 from a population produced a mean of 30.9 and a standard deviation of 4. A sample of 18 from another population produced a mean of 32.5 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

Derive the corresponding 95% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -4.113 to 0.913 B) -4.147 to 0.947 C) -4.308 to 1.108 D) -4.570 to 1.370 Answer: A Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 064

274

18) A sample of 16 from a population produced a mean of 30.4 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.8 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the critical value of t for the hypothesis test?

A) -2.473 B) -2.080 C) -2.211 D) -2.425 Answer: A Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 065 19) A sample of 16 from a population produced a mean of 30.1 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.6 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: -2.858 Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 066

275

20) A sample of 16 from a population produced a mean of 29.9 and a standard deviation of 4. A sample of 18 from another population produced a mean of 32.5 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0215 Diff: 2 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 067 21) A sample of 16 from a population produced a mean of 30.2 and a standard deviation of 4. A sample of 18 from another population produced a mean of 32.5 and a standard deviation of 3.

Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal Question Title: Chapter 10, Testbank Question 068

276

10.4

Inferences About the Mean of Paired Samples (Dependent Samples)

1) Two paired or matched samples would imply that: A) data are collected on one variable from the elements of two independent samples B) two data values are collected from the same source (elements) for two dependent samples C) two data values are collected from the same source (elements) for two independent samples D) data are collected on two variables from the elements of two independent samples Answer: B Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 069 2) For two paired samples with sample size of n, the degrees of freedom are: A) 2n - 1 B) 2n - 2 C) n - 1 D) n - 2 Answer: C Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 070

277

3) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 6.4 9.4 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What is the mean of the sample paired differences, rounded to two decimal places?

Answer: 1.56 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 071

278

4) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 7.0 9.0 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What is the standard deviation of the paired differences, rounded to three decimal places?

Answer: 1.065 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 072

279

5) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 6.4 8.8 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What is the standard deviation of the mean of the sample paired differences, rounded to three decimal places?

Answer: 0.528 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 073

280

6) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 6.6 9.7 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

Calculate the 95% confidence interval for the mean of the population paired differences that corresponds to these data, rounded to two decimal places.

A) 0.07 to 3.25 B) 0.19 to 3.13 C) 0.44 to 2.88 D) 0.51 to 2.81 Answer: A Diff: 2 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 074

281

7) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 7.1 9.2 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What are the critical values of t for the hypothesis test?

A) -2.776 and 2.776 B) -2.571 and 2.571 C) -2.132 and 2.132 D) -2.015 and 2.015 Answer: A Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 075

282

8) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 6.5 8.3 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 2.695 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 076

283

9) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 6.4 7.7 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0811 Diff: 2 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 077

284

10) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions.

The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before 7.5 6.4 6.4 9.1 7.8

After 4.3 5.1 6.2 6.9 7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 078

285

11) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 55 84 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What is the mean of the sample paired differences, rounded to two decimal places?

Answer: 14.50 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 079

286

12) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 57 76 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What is the standard deviation of the paired differences, rounded to three decimal places?

Answer: 9.482 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 080

287

13) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 48 85 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What is the standard deviation of the mean of the sample paired differences, rounded to three decimal places?

Answer: 2.187 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 081

288

14) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 49 70 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

Calculate the 99% confidence interval for the mean of the population paired differences that corresponds to these data, rounded to two decimal places.

A) -3.46 to 25.79 B) -1.04 to 23.37 C) -2.43 to 24.76 D) -0.24 to 22.57 Answer: A Diff: 2 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 082

289

15) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 57 73 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What are the critical values of t for the hypothesis test?

A) 3.143 B) 3.365 C) 3.747 D) 4.032 Answer: B Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 083

290

16) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 50 72 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What is the value of the test statistic, t, rounded to three decimal places?

Answer: 3.362 Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 084

291

17) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 55 80 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Answer: 0.0068 Diff: 2 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 085

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18) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before 57 73 49 82 79 39

After 41 65 28 73 61 32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples Question Title: Chapter 10, Testbank Question 086

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10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples 1) The proportion of elements in a population that possess a certain characteristic is 0.69. The proportion of elements in another population that possess the same characteristic is 0.74. You select samples of 167 and 384 elements, respectively, from the first and second populations.

What is the mean of the sampling distribution of the difference between the two sample proportions, rounded to two decimal places?

Answer: -0.05 Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 087 2) The proportion of elements in a population that possess a certain characteristic is 0.66. The proportion of elements in another population that possess the same characteristic is 0.79. You select samples of 215 and 336 elements, respectively, from the first and second populations.

What is the standard deviation of the sampling distribution of the difference between the two sample proportions, rounded to four decimal places?

Answer: 0.0392 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 088 3) The proportion of elements in a population that possess a certain characteristic is 0.50. The proportion of elements in another population that possess the same characteristic is 0.39. You select samples of 1030 and 811 elements, respectively, from the first and second populations.

What is the mean of the sampling distribution of the difference between the two sample proportions, reported to two decimal places?

Answer: 0.11 Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 089

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4) The proportion of elements in a population that possess a certain characteristic is 0.48. The proportion of elements in another population that possess the same characteristic is 0.36. You select samples of 1016 and 909 elements, respectively, from the first and second populations.

What is the standard deviation of the sampling distribution of the difference between the two sample proportions, rounded to four decimal places?

Answer: 0.0223 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 090 5) A sample of 505 school teachers, who are married, showed that 217 of them hold a second job to supplement their incomes. Another sample of 375 school teachers, who are single, showed that 139 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the 95% confidence interval for the difference between the proportions of married and single school teachers who hold a second job to supplement their income, rounded to four decimal places?

A) -0.0062 to 0.1243 B) -0.0066 to 0.1318 C) -0.0060 to 0.1193 D) -0.0072 to 0.1442 Answer: A Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 091

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6) A sample of 488 school teachers, who are married, showed that 201 of them hold a second job to supplement their incomes. Another sample of 377 school teachers, who are single, showed that 131 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What are the critical values of z for the hypothesis test?

A) -2.33 and 2.33 B) -1.65 and 1.65 C) -2.17 and 2.17 D) -1.96 and 1.96 Answer: D Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 092 7) A sample of 521 school teachers, who are married, showed that 224 of them hold a second job to supplement their incomes. Another sample of 382 school teachers, who are single, showed that 127 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the value of the pooled sample proportion, rounded to four decimal places?

Answer: 0.3887 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 093

296

8) A sample of 506 school teachers, who are married, showed that 201 of them hold a second job to supplement their incomes. Another sample of 397 school teachers, who are single, showed that 140 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: 1.372 Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 094 9) A sample of 522 school teachers, who are married, showed that 226 of them hold a second job to supplement their incomes. Another sample of 418 school teachers, who are single, showed that 141 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the p-value for this test, rounded to four decimal places?

Answer: 0.0028 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 095

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10) A sample of 481 school teachers, who are married, showed that 201 of them hold a second job to supplement their incomes. Another sample of 407 school teachers, who are single, showed that 147 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 096 11) According to a Louis Harris survey, 511 in a sample of 1020 female drivers reported that they never speed, while 568 in a sample of 1245 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the 99% confidence interval for the difference between the proportions of female and male drivers who state that they never speed, rounded to four decimal places?

A) -0.0096 to 0.0991 B) -0.0104 to 0.1070 C) -0.0090 to 0.0932 D) -0.0110 to 0.1140 Answer: A Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 097

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12) According to a Louis Harris survey, 515 in a sample of 1010 female drivers reported that they never speed, while 511 in a sample of 1151 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the critical value of z for the hypothesis test?

A) 2.33 B) 2.05 C) 2.17 D) 2.58 Answer: A Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 098 13) According to a Louis Harris survey, 484 in a sample of 964 female drivers reported that they never speed, while 540 in a sample of 1180 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the value of the pooled sample proportion, rounded to four decimal places?

Answer: 0.4776 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 099

299

14) According to a Louis Harris survey, 514 in a sample of 1013 female drivers reported that they never speed, while 533 in a sample of 1163 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: 2.287 Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 100 15) According to a Louis Harris survey, 494 in a sample of 953 female drivers reported that they never speed, while 518 in a sample of 1162 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the p-value for this test, rounded to four decimal places?

Answer: 0.0004 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 101 16) According to a Louis Harris survey, 512 in a sample of 1034 female drivers reported that they never speed, while 534 in a sample of 1207 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 102

300

17) In a survey regarding job satisfaction, 539 in a sample of 852 female job-holders stated that they are satisfied with their jobs, while 529 in a sample of 799 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the 97% confidence interval for the difference between the proportions of all female and all male job-holders who will say that they are satisfied with their job, rounded to four decimal places?

A) -0.0805 to 0.0216 B) -0.0869 to 0.0233 C) -0.0757 to 0.0203 D) -0.0708 to 0.0190 Answer: A Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 103 18) In a survey regarding job satisfaction, 566 in a sample of 892 female job-holders stated that they are satisfied with their jobs, while 543 in a sample of 796 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the critical value of z for the hypothesis test?

A) -1.96 B) -2.17 C) -2.33 D) -2.05 Answer: A Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 104

301

19) In a survey regarding job satisfaction, 575 in a sample of 941 female job-holders stated that they are satisfied with their jobs, while 511 in a sample of 762 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the value of the pooled sample proportion, rounded to four decimal places?

Answer: 0.6359 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 105 20) In a survey regarding job satisfaction, 534 in a sample of 859 female job-holders stated that they are satisfied with their jobs, while 533 in a sample of 779 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the value of the test statistic, z, rounded to three decimal places?

Answer: -2.653 Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 106 21) In a survey regarding job satisfaction, 547 in a sample of 859 female job-holders stated that they are satisfied with their jobs, while 523 in a sample of 767 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the p-value for this test, rounded to four decimal places?

Answer: 0.0278 Diff: 2 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 107 302

22) In a survey regarding job satisfaction, 521 in a sample of 852 female job-holders stated that they are satisfied with their jobs, while 538 in a sample of 814 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples Question Title: Chapter 10, Testbank Question 108

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

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Introductory Statistics, 10e (Mann) Chapter 11 Chi-Square Tests 11.1

The Chi-Square Distribution

1) The parameter(s) of the chi-square distribution is/are: A) the sample size B) degrees of freedom C) n and x D) n, x, and p Answer: B Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 001 2) For a chi-square distribution curve with 3 or more degrees of freedom, the peak occurs at the point: A) x = 10 B) x = degrees of freedom minus 1 C) x = degrees of freedom minus 2 D) n - x Answer: C Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 002 3) A chi-square distribution assumes: A) negative values only B) positive values only C) nonnegative values only D) all values Answer: C Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 003

304

4) For small degrees of freedom, the chi-square distribution is: A) symmetric B) skewed to the right C) skewed to the left D) rectangular Answer: B Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 004 5) For very large degrees of freedom, the chi-square distribution becomes: A) symmetric B) skewed to the right C) skewed to the left D) rectangular Answer: A Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 005 6) What is the chi-square value for 14 degrees of freedom and a .05 area in the right tail?

A) 21.604 B) 26.119 C) 23.685 D) 29.141 Answer: C Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 006 7) What is the chi-square value for 9 degrees of freedom and a .01 area in the left tail?

A) 21.666 B) -21.666 C) 2.088 D) -2.088 Answer: C Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 007

305

8) What is the chi-square value for 19 degrees of freedom and a 0.025 area in the right tail?

A) 30.144 B) 32.852 C) 8.907 D) 10.117 Answer: B Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 008 9) What is the chi-square value for 12 degrees of freedom and a 0.10 area in the left tail?

A) 6.304 B) -6.304 C) 18.549 D) -18.549 Answer: A Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 009 10) Using the table for the chi-square distributions, find the lower 10% point when d.f. = 4.

Answer: 1.06 Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 010 11) Find the probability of > 35.72 when d.f. = 17.

Answer: 0.005 Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 011 12) Find the probability of < 6.26 when d.f. = 15.

A) 0.025 B) 0.05 C) 0.1 D) 0.005 Answer: A Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 012 306

13) Find the probability of 9.89 < < 33.2 when d.f. = 24.

Answer: 0.045 Diff: 3 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 013 14) If a test of hypothesis involves a multinomial experiment, which test is used?

A) Test of hypothesis about the variance B) Goodness-of-fit test C) χ2 distribution test D) Independence test or homogeneity test Answer: B Diff: 1 LO: 11.1.0 Demonstrate an understanding of the chi-square distribution.

Section: 11.1 The Chi-Square Distribution Question Title: Chapter 11, Testbank Question 014 11.2

A Goodness-of-Fit Test

1) Which of the following is not a characteristic of a multinomial experiment?

A) It consists of two identical trials.

B) Each trial results in one of k possible outcomes, where k is a number greater than 2.

C) The trials are independent.

D) The probabilities of various outcomes remain constant for each trial.

Answer: A Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 015 2) Which of the following is not a characteristic of a multinomial experiment?

A) It consists of n identical trials.

B) Each trial results in one of two possible outcomes.

C) The trials are independent.

D) The probabilities of various outcomes remain constant for each trial.

Answer: B Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 016

307

3) Which of the following is not a characteristic of a multinomial experiment?

A) It consists of n identical trials.

B) Each trial results in one of k possible outcomes, where k is a number greater than 2.

C) The trials are dependent.

D) The probabilities of various outcomes remain constant for each trial.

Answer: C Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 017 4) Which of the following is not a characteristic of a multinomial experiment?

A) It consists of n identical trials.

B) Each trial results in one of k possible outcomes, where k is a number greater than 2.

C) The trials are independent.

D) The probabilities of various outcomes are different for each trial.

Answer: D Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 018 5) For a goodness-of-fit test, the frequencies obtained from the performance of an experiment are the: A) expected frequencies B) subjective frequencies C) objective frequencies D) observed frequencies Answer: D Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 019

308

6) For a goodness-of-fit test, the frequencies that we would obtain if the null hypothesis is true are the: A) expected frequencies B) subjective frequencies C) objective frequencies D) observed frequencies Answer: A Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 020 7) For a goodness-of-fit test with the number of categories equal to k and sample size equal to n, the degrees of freedom are: A) k - 2 B) n - k C) k - n D) k - 1 Answer: D Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 021 8) For a goodness-of-fit test, when n is the sample size and p is the probability of a category occurring, we calculate the expected frequency for a category by: A) E = np B) E = xp C) E = nx D) E = nkp Answer: A Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 022

309

9) For a goodness-of-fit test, the sample size should be large enough so that the: A) observed frequency for each category is at least 10 B) expected frequency for each category is at least 10 C) observed frequency for each category is at least 5 D) expected frequency for each category is at least 5 Answer: D Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 023 10) A goodness-of-fit test: A) is always a right-tailed test B) is always a left-tailed test C) is always a two-tailed test D) can be a right-tailed, left-tailed, or a two-tailed test Answer: A Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 024 11) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 12 20 16

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. What is the expected frequency for the second category?

Answer: 15 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 025

310

12) The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. The expected frequencies for the four categories are: Category 1 2 3 4 Answer: Category 1 2 3 4

Observed Frequency 12 20 12 16

Observed Frequency 12 20 12 16

Expected Frequency

Expected Frequency 15 15 15 15

Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 026 13) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 11 21 16

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. What are the degrees of freedom for this test?

Answer: 3 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 027

311

14) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 17 15 16

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. The significance level is 1%.

What is the critical value of chi-square?

A) 13.277 B) 11.345 C) 12.838 D) 14.860 Answer: B Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 028 15) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 19 13 16

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. What is the value of the test statistic, rounded to three decimal places?

Answer: 2.000 Diff: 2 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 029

312

16) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 17 15 16

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 030 17) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 23 6 40 11

The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. What is the expected frequency for the fourth category?

Answer: 8 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 031

313

18) The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. The expected frequencies for the four categories are: Category 1 2 3 4

Observed Frequency 23 34 12 11

Expected Frequency

Answer: Category 1 2 3 4

Observed Frequency 23 34 12 11

Expected Frequency 32 24 16 8

Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 032 19) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 38 8 6

The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. What are the degrees of freedom for this test?

Answer: 3 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 033

314

20) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 13 33 6

The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. The significance level is 10%. What is the critical value of chi-square?

A) 9.488 B) 7.815 C) 7.779 D) 6.251 Answer: D Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 034 21) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 30 16 6

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is equal. What is the value of the test statistic, rounded to three decimal places?

Answer: 5.156 Diff: 2 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 035

315

22) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4

Observed Frequency 12 31 15 6

The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. Do you reject or fail to reject the null hypothesis at the 10% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 036 23) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4 5

Observed Frequency 19 13 15 39 14

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same. What is the expected frequency for the fourth category?

Answer: 20 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 037

316

24) The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same. The expected frequencies for the five categories are: Category 1 2 3 4 5

Observed Frequency 42 13 15 16 14

Expected Frequency

Answer: Category 1 2 3 4 5

Observed Frequency 42 13 15 16 14

Expected Frequency 20 20 20 20 20

Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 038 25) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4 5

Observed Frequency 17 13 15 41 14

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same. What are the degrees of freedom for this test?

Answer: 4 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 039

317

26) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4 5

Observed Frequency 44 13 15 14 14

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same. The significance level is 5%.

What is the critical value of chi-square?

A) 11.070 B) 12.833 C) 11.143 D) 9.488 Answer: D Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 040 27) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4 5

Observed Frequency 43 13 15 15 14

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same. What is the value of the test statistic, rounded to three decimal places?

Answer: 33.200 Diff: 2 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 041

318

28) The table below lists the observed frequencies for all four categories for an experiment.

Category 1 2 3 4 5

Observed Frequency 18 13 15 40 14

The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 042 29) You ask 100 persons what color of car they like the most. The table below lists the observed frequencies for such a survey.

Color Black Blue Red White Other

Observed Frequency 19 29 14 8 30

The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. What is the expected frequency for red cars?

Answer: 20 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 043

319

30) The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. The expected frequencies for the various colors are: Color Black Blue Red White Other

Observed Frequency 19 29 14 8 30

Expected Frequency

Answer: Color Black Blue Red White Other

Observed Frequency 19 29 14 8 30

Expected Frequency 10 25 20 10 35

Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 044 31) You ask 100 persons what color of car they like the most. The table below lists the observed frequencies for such a survey.

Color Black Blue Red White Other

Observed Frequency 15 29 14 12 30

The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. What are the degrees of freedom for this test?

Answer: 4 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 045

320

32) You ask 100 persons what color of car they like the most. The table below lists the observed frequencies for such a survey.

Color Black Blue Red White Other

Observed Frequency 22 29 14 5 30

The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. The significance level is 2.5%. What is the critical value of chi-square?

A) 9.488 B) 11.143 C) 12.833 D) 11.070 Answer: B Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 046 33) You ask 100 persons what color of car they like the most. The table below lists the observed frequencies for such a survey.

Color Black Blue Red White Other

Observed Frequency 11 29 14 16 30

The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. What is the value of the test statistic, rounded to three decimal places?

Answer: 6.854 Diff: 2 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 047

321

34) You ask 100 persons what color of car they like the most. The table below lists the observed frequencies for such a survey.

Color Black Blue Red White Other

Observed Frequency 12 29 14 15 30

The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 048 35) The table below lists the number of crimes reported at a police station on each day of the week for the past three months.

Days of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 8 13 16 27 29 26

The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week. What is the expected number of crimes reported on a Thursday?

Answer: 20 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 049

322

36) The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week. The expected frequencies for each of the seven days are:

Day of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 10 13 16 25 29 26

Expected Number Of Crimes

Answer: Day of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 10 13 16 25 29 26

Expected Number Of Crimes 20 20 20 20 20 20 20

Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 050

323

37) The table below lists the number of crimes reported at a police station on each day of the week for the past three months.

Days of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 10 13 16 25 29 26

The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week. What are the degrees of freedom for this test?

Answer: 6 Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 051 38) The table below lists the number of crimes reported at a police station on each day of the week for the past three months.

Days of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 12 13 16 23 29 26

The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week. The significance level is 10%. What is the critical value of chi-square?

A) 12.017 B) 14.067 C) 10.645 D) 12.592 Answer: C Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 052 324

39) The table below lists the number of crimes reported at a police station on each day of the week for the past three months.

Days of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 15 13 16 20 29 26

The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week. What is the value of the test statistic?

Answer: 15.4 Diff: 2 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 053 40) The table below lists the number of crimes reported at a police station on each day of the week for the past three months.

Days of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Number of Crimes 21 19 13 16 16 29 26

The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week. Do you reject or fail to reject the null hypothesis at the 10% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.2.0 Demonstrate an understanding of how to perform a goodness-of-fit test using the chi-square distribution.

Section: 11.2 A Goodness-of-Fit Test Question Title: Chapter 11, Testbank Question 054

325

11.3

A Test of Independence or Homogeneity

1) If a test of hypothesis involves a contingency table, which test is used?

A) Test of hypothesis about the variance B) Goodness-of-fit test C) χ2 distribution test D) Independence test or homogeneity test Answer: D Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 055 2) For a chi-square test of independence, what are the degrees of freedom?

A) n - 1 B) n - 2 C) (R-1)(C-1) where R is the number of rows and C is the number of columns in the contingency table D) (n-1)(k-1) where n is the sample size and k is the number of categories Answer: C Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 056 3) For a chi-square test of homogeneity, what are the degrees of freedom?

A) sample size minus one B) sample size minus two C) (R-1)(C-1) where R is the number of rows and C is the number of columns in the contingency table D) (n-1)(k-1) where n is the sample size and k is the number of categories Answer: C Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 057

326

4) A chi-square test of independence: A) is always a right-tailed test B) is always a left-tailed test C) is always a two-tailed test D) can be a right-tailed, a left-tailed, or a two-tailed test Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 058 5) A chi-square test of homogeneity: A) is always a right-tailed test B) is always a left-tailed test C) is always a two-tailed test D) can be a right-tailed, a left-tailed, or a two-tailed test Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 059 6) A chi-square test of independence is about the independence of: A) two means B) two proportions C) two characteristics presented in a contingency table D) means of several populations Answer: C Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 060

327

7) A chi-square test of homogeneity is about: A) testing the null hypothesis that two samples are homogeneous B) testing the null hypothesis that two proportions are homogeneous C) the independence of two characteristics presented in a contingency table D) testing the null hypothesis that the proportions of elements with certain characteristics in two or more different populations are the same Answer: D Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 061 8) For a chi-square test of independence, a contingency table with 3 rows and 6 columns has how many degrees of freedom?

Answer: 10 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 062 9) For a chi-square test of independence, a contingency table with 6 rows and 12 columns has how many degrees of freedom?

Answer: 55 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 063 10) For a chi-square test of homogeneity, a contingency table with 5 rows and 7 columns has how many degrees of freedom?

Answer: 24 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 064

328

11) For a chi-square test of homogeneity, a contingency table with 4 rows and 9 columns has how many degrees of freedom?

Answer: 24 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 065 12) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 34 44

Late 9 13

For a chi-square test of independence for this contingency table, what is the number of degrees of freedom?

Answer: 1 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 066 13) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 33 50

Late 7 10

For a chi-square test of independence for this contingency table, what are the observed frequencies for the first row?

A) 33 and 7 B) 50 and 10 C) 33 and 50 D) 7 and 10 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 067

329

14) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 37 43

Late 6 14

For a chi-square test of independence for this contingency table, what are the expected frequencies for the first row, rounded to two decimal places?

A) 34.40 and 8.60 B) 35.78 and 8.26 C) 37.50 and 7.83 D) 31.99 and 9.20 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 068 15) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 34 43

Late 8 15

For a chi-square test of independence for this contingency table, what are the observed frequencies for the second column?

A) 8 and 15 B) 34 and 43 C) 34 and 8 D) 43 and 15 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 069

330

16) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 33 49

Late 6 12

For a chi-square test of independence for this contingency table, what are the expected frequencies for the second column, rounded to two decimal places?

A) 7.02 and 10.98 B) 7.37 and 10.43 C) 7.58 and 10.10 D) 6.46 and 11.86 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 070 17) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 34 46

Late 6 14

To perform a chi-square test of independence for this contingency table at the 1% significance level, what is the critical value of chi-square?

A) 7.879 B) 6.635 C) 10.597 D) 9.210 Answer: B Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 071

331

18) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 33 47

Late 4 16

To perform a chi-square test of independence for this contingency table, what is the value of the chi-square test statistic (rounded to three decimal places)?

Answer: 3.100 Diff: 2 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 072 19) You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.

Gender Female Male

On Time 36 47

Late 6 11

Do you reject or fail to reject the null hypothesis that the two characteristics are independent at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 073

332

20) Jean, an expert on dental hygiene, hypothesizes that the dental hygiene of students at the Westwood Elementary School is similar to that of students at Easton Elementary. In order to test her hypothesis, she collects information about children at each school from dentists in the area, recording the number of cavities that each child has had in the past year. Her findings appear in the following table.

Tooth Decay Level No Cavities One Cavity Two Cavities Three or more cavities

Westwood School 10 10 11 6

Easton School 9 10 9 8

The null hypothesis is that the proportions of students with no cavities, one cavity, two cavities, and three or more cavities are relatively the same between schools. What is the value of the test statistic, rounded to three decimal places, that Jean will use?

Answer: 0.525 Diff: 2 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 074 21) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 199 250

Not Satisfied 100 51

For a chi-square test of independence for this contingency table, what is the number of degrees of freedom?

Answer: 1 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 075

333

22) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 192 246

Not Satisfied 100 62

For a chi-square test of independence for this contingency table, what are the observed frequencies for the second row?

A) 246 and 62 B) 192 and 100 C) 192 and 246 D) 100 and 62 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 076 23) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 196 252

Not Satisfied 99 53

For a chi-square test of independence for this contingency table, what are the expected frequencies for the second row, rounded to two decimal places?

A) 226.08 and 87.92 B) 218.62 and 80.36 C) 207.23 and 84.22 D) 239.12 and 73.41 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 077

334

24) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 199 242

Not Satisfied 92 67

For a chi-square test of independence for this contingency table, what are the observed frequencies for the first column?

A) 242 and 67 B) 199 and 92 C) 199 and 242 D) 92 and 67 Answer: C Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 078 25) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 200 250

Not Satisfied 100 50

For a chi-square test of independence for this contingency table, what are the expected frequencies for the first column, rounded to two decimal places?

A) 226.08 and 87.92 B) 218.25 and 231.75 C) 207.00 and 243.00 D) 213.75 and 236.25 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 079

335

26) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 205 250

Not Satisfied 97 48

To perform a chi-square test of independence for this contingency table at the 5% significance level, what is the critical value of chi-square?

A) 5.991 B) 7.378 C) 3.841 D) 5.024 Answer: C Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 080 27) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 196 247

Not Satisfied 92 65

To perform a chi-square test of independence for this contingency table, what is the value of the chi-square test statistic (rounded to three decimal places)?

Answer: 9.570 Diff: 2 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 081

336

28) You ask 600 randomly selected working adults whether or not they are satisfied with their jobs. The table below gives a two-way classification for these adults.

Gender Female Male

Satisfied 190 248

Not Satisfied 94 68

For a test of independence, do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 082 29) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 62 59

Not Cured 8 21

For a chi-square test of homogeneity for this contingency table, what is the number of degrees of freedom?

Answer: 1 Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 083

337

30) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 59 65

Not Cured 11 15

For a chi-square test of homogeneity for this contingency table, what are the observed frequencies for the first row?

A) 59 and 11 B) 59 and 65 C) 65 and 15 D) 11 and 15 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 084 31) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 63 65

Not Cured 7 15

For a chi-square test of homogeneity for this contingency table, what are the expected frequencies for the first row, rounded to two decimal places?

A) 59.73 and 10.27 B) 68.27 and 10.27 C) 68.27 and 11.73 D) 59.73 and 11.73 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 085

338

32) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 59 60

Not Cured 11 20

For a chi-square test of homogeneity for this contingency table, what are the observed frequencies for the second column?

A) 11 and 20 B) 59 and 60 C) 59 and 11 D) 60 and 20 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 086 33) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 59 58

Not Cured 11 22

For a chi-square test of homogeneity for this contingency table, what are the expected frequencies for the second column, rounded to two decimal places?

A) 15.40 and 17.60 B) 13.20 and 17.60 C) 13.20 and 19.80 D) 15.40 and 19.80 Answer: A Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 087

339

34) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 63 63

Not Cured 7 17

To perform a chi-square test of homogeneity for this contingency table at the 10% significance level, what is the critical value of chi-square?

A) 5.991 B) 4.605 C) 3.841 D) 2.706 Answer: D Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 088 35) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 62 61

Not Cured 8 19

To perform a chi-square test of homogeneity for this contingency table, what is the value of the chi-square test statistic (rounded to three decimal places)?

Answer: 3.840 Diff: 2 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 089

340

36) A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II. The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.

Drug I II

Cured 63 65

Not Cured 7 15

For a test of homogeneity, will you reject or fail to reject the null hypothesis at the 10% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.3.0 Demonstrate an understanding of how to perform a test of independence or homogeneity using contingency tables and the chi-square distribution.

Section: 11.3 A Test of Independence or Homogeneity Question Title: Chapter 11, Testbank Question 090 11.4

Inferences About the Population Variance

1) If a test of hypothesis involves the standard deviation of a single population, which test is used?

A) Test of hypothesis about the variance B) Goodness-of-fit test C) χ2 distribution test D) Independence test or homogeneity test Answer: A Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 091 2) A random sample of 25 elements selected from a population produced a variance equal to 3.328.

Assume that the population is normally distributed. Based on this sample, the 95% confidence interval for the population variance, rounded to three decimal places, is: A) 2.029 and 6.441 B) 2.029 and 6.223 C) 1.965 and 6.441 D) 1.965 and 6.223 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 092 341

3) A random sample of 25 elements selected from a population produced a variance equal to 14.880. Assume that the population is normally distributed. Based on this sample, the 95% confidence interval for the population standard deviation, rounded to three decimal places, is: A) 3.012 and 5.366 B) 3.012 and 28.242 C) 8.810 and 5.366 D) 8.810 and 28.242 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 093 4) A random sample of 16 elements selected from a population produced a variance equal to 13.307. Assume that the population is normally distributed. Based on this sample, the 99% confidence interval for the population variance, rounded to three decimal places, is: A) 6.085 and 43.383 B) 6.085 and 43.860 C) 6.102 and 43.383 D) 6.102 and 43.860 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 094 5) A random sample of 16 elements selected from a population produced a variance equal to 3.233.

Assume that the population is normally distributed. Based on this sample, the 99% confidence interval for the population standard deviation, rounded to three decimal places, is: A) 1.216 and 3.247 B) 1.216 and 3.339 C) 1.223 and 3.247 D) 1.223 and 3.339 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 095

342

6) A random sample of 20 elements selected from a population produced a variance equal to 12.040. Assume that the population is normally distributed. Based on this sample, the 90% confidence interval for the population variance, rounded to three decimal places, is: A) 7.589 and 22.611 B) 7.589 and 21.946 C) 7.496 and 22.611 D) 7.496 and 21.946 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 096 7) A random sample of 20 elements selected from a population produced a variance equal to 7.752.

Assume that the population is normally distributed. Based on this sample, the 90% confidence interval for the population standard deviation, rounded to three decimal places, is: A) 2.210 and 3.816 B) 2.210 and 3.759 C) 2.197 and 3.816 D) 2.197 and 3.759 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 097 8) A random sample of 29 workers selected from a large company produced a variance of their weekly earnings equal to 5878. Assume that the population is normally distributed. Based on this sample, the 95% confidence interval for the variance of the weekly earnings of all of this company's employees, rounded to three decimal places, is: A) 3701.761 and 10,751.502 B) 3701.761 and 10,924.200 C) 3723.030 and 10,751.502 D) 3723.030 and 10,924.200 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 098

343

9) A random sample of 29 workers selected from a large company produced a variance of their weekly earnings equal to 6859. Assume that the population is normally distributed. Based on this sample, the 95% confidence interval for the standard deviation of the weekly earnings of all of this company's employees, rounded to the nearest cent, is: A) 65.72 and 112.01 B) 65.72 and 112.904 C) 65.912 and 112.01 D) 65.912 and 112.904 Answer: A Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 099 10) A random sample of 25 elements selected from a population produced a variance equal to 8.195. The null hypothesis is that the population variance is less than or equal to4.50 and the alternative hypothesis is that the population variance is greater than 4.50. Assume that the population is normally distributed. The significance level is 1%. The critical value of chi-square is: A) 42.980 B) 45.559 C) 41.638 D) 44.181 Answer: A Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 100 11) A random sample of 25 elements selected from a population produced a variance equal to 7.588. The null hypothesis is that the population variance is less than or equal to4.30 and the alternative hypothesis is that the population variance is greater than 4.30. Assume that the population is normally distributed. The significance level is 1%. The value of the chi-square test statistic is, rounded to three decimal places: Answer: 42.352 Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 101

344

12) A random sample of 25 elements selected from a population produced a variance equal to 5.742. The null hypothesis is that the population variance is less than or equal to3.75 and the alternative hypothesis is that the population variance is greater than 3.75. Assume that the population is normally distributed. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 102 13) A random sample of 20 elements selected from a population produced a variance equal to 3.824. The null hypothesis is that the population variance is equal to 9.70 and the alternative hypothesis is that the population variance is not equal to 9.70. Assume that the population is normally distributed. The significance level is 5%. The critical values of chi-square are: A) 10.117 and 30.144 B) 8.231 and 31.526 C) 7.633 and 36.191 D) 8.907 and 32.852 Answer: D Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 103 14) A random sample of 20 elements selected from a population produced a variance equal to 13.753. The null hypothesis is that the population variance is equal to 18.00 and the alternative hypothesis is that the population variance is not equal to 18.00. Assume that the population is normally distributed. The significance level is 5%. The value of the chi-square test statistic is, rounded to three decimal places: Answer: 14.517 Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 104

345

15) A random sample of 20 elements selected from a population produced a variance equal to 11.522. The null hypothesis is that the population variance is equal to 19.35 and the alternative hypothesis is that the population variance is not equal to 19.35. Assume that the population is normally distributed. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 105 16) A random sample of 28 elements selected from a population produced a variance equal to 8.871. The null hypothesis is that the population variance is greater than or equal to 19.05 and the alternative hypothesis is that the population variance is less than 19.05. Assume that the population is normally distributed. The significance level is 2.5%. The critical value of chi-square is: A) 14.573 B) 43.195 C) 41.923 D) 13.844 Answer: A Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 106 17) A random sample of 28 elements selected from a population produced a variance equal to 9.870. The null hypothesis is that the population variance is greater than or equal to 18.10 and the alternative hypothesis is that the population variance is less than 18.10. Assume that the population is normally distributed. The significance level is 2.5%. The value of the chi-square test statistic is, rounded to three decimal places: Answer: 14.723 Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 107

346

18) A random sample of 28 elements selected from a population produced a variance equal to 10.180. The null hypothesis is that the population variance is greater than or equal to 18.80 and the alternative hypothesis is that the population variance is less than 18.80. Assume that the population is normally distributed. Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 108 19) The variance of the prices of all college textbooks was 80.25 last year. A recent sample of 20 college textbooks produced a variance of their prices equal to 138.844. The null hypothesis is that the current variance of the prices of all college textbooks is equal to 80.25 and the alternative hypothesis is that the current variance of the prices of all college textbooks is greater than 80.25.

Assume that the prices of college textbooks are normally distributed. The significance level is 1%.

The critical value of chi-square is: A) 36.191 B) 38.582 C) 39.997 D) 37.566 Answer: A Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 109 20) The variance of the prices of all college textbooks was 82.00 last year. A recent sample of 20 college textbooks produced a variance of their prices equal to 93.306. The null hypothesis is that the current variance of the prices of all college textbooks is equal to 82.00 and the alternative hypothesis is that the current variance of the prices of all college textbooks is greater than 82.00.

Assume that the prices of college textbooks are normally distributed. The significance level is 1%.

The value of the chi-square test statistic is, rounded to three decimal places: Answer: 21.620 Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 110

347

21) The variance of the prices of all college textbooks was 81.30 last year. A recent sample of 20 college textbooks produced a variance of their prices equal to 87.972. The null hypothesis is that the current variance of the prices of all college textbooks is equal to 81.30 and the alternative hypothesis is that the current variance of the prices of all college textbooks is greater than 81.30.

Assume that the prices of college textbooks are normally distributed. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 111 22) A researcher claims that the variance of the heights of all female college basketball players is 4.55 square inches. A random sample of 28 female college basketball players produced a variance of their heights equal to 3.882 square inches. The null hypothesis is that the variance of the heights of all female college basketball players is equal to4.55 square inches and the alternative hypothesis is that the variance of the heights of all female college basketball players is not equal to 4.55.

Assume that the population is normally distributed. The significance level is 5%. The critical values of chi-square are: A) 13.844 and 41.923 B) 14.573 and 43.195 C) 15.308 and 44.461 D) 12.879 and 40.113 Answer: B Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 112 23) A researcher claims that the variance of the heights of all female college basketball players is 4.60 square inches. A random sample of 28 female college basketball players produced a variance of their heights equal to 1.861 square inches. The null hypothesis is that the variance of the heights of all female college basketball players is equal to4.60 square inches and the alternative hypothesis is that the variance of the heights of all female college basketball players is not equal to 4.60.

Assume that the population is normally distributed. The significance level is 5%. The value of the chi-square test statistic is, rounded to three decimal places: Answer: 10.923 Diff: 2 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 113

348

24) A researcher claims that the variance of the heights of all female college basketball players is 5.35 square inches. A random sample of 28 female college basketball players produced a variance of their heights equal to 6.678 square inches. The null hypothesis is that the variance of the heights of all female college basketball players is equal to5.35 square inches and the alternative hypothesis is that the variance of the heights of all female college basketball players is not equal to 5.35.

Assume that the population is normally distributed. The significance level is 5%. Do you reject or fail to reject the null hypothesis at the 10% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 11.4.0 Demonstrate an understanding of how to estimate and test a hypothesis about a population variance.

Section: 11.4 Inferences About the Population Variance Question Title: Chapter 11, Testbank Question 114

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

Introductory Statistics, 10e (Mann) 349

Chapter 12 12.1

Analysis of Variance

The F Distribution

1) To use an F distribution, the random variable must be: A) a discrete random variable B) a continuous random variable C) a qualitative random variable D) either a discrete or a continuous random variable Answer: B Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 001 2) The shape of the F distribution curve is: A) skewed to the left B) skewed to the right C) symmetric D) rectangular Answer: B Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 002 3) Which of the following is not a characteristic of an F distribution?

A) The F distribution is continuous and skewed to the right.

B) The F distribution has two numbers of degrees of freedom: degrees of freedom for the numerator and for the denominator.

C) The F distribution has two parameters: the mean and the standard deviation.

D) The units of an F distribution are always nonnegative.

Answer: C Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 003

350

4) Which of the following is not a characteristic of the F distribution?

A) It has two numbers of degrees of freedom: df for the numerator, and df for the denominator, and these two numbers may or may not be equal to each other.

B) It is symmetric.

C) It is continuous.

D) The units of the F distribution are always nonnegative.

Answer: B Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 004 5) The units of an F distribution: A) are always negative B) are always positive C) are always nonnegative D) can be negative, zero, or positive Answer: C Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 005 6) The parameters of the F distribution are: A) the mean and the standard deviation B) the sample size minus one and F C) the degrees of freedom for the numerator and the degrees of freedom for the denominator D) F and n, where n is the sample size Answer: C Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 006 7) The F value for 9 degrees of freedom for the numerator, 12 degrees of freedom for the denominator, and a .01 area in the right tail is: A) 2.80 B) 5.11 C) 4.74 D) 4.39 Answer: D Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 007

351

8) Find the critical value of F for df = (25,14) and area in the right tail = 0.05.

A) 2.78 B) 2.34 C) 3.19 D) 1.87 Answer: B Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 008 9) Find the critical value of F for d.f = (3, 7) and the area in the right tail = 0.010.

A) 8.45 B) 4.35 C) 5.89 D) 1.96 Answer: A Diff: 1 LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution Question Title: Chapter 12, Testbank Question 009 12.2

One-Way Analysis of Variance

1) We can use the analysis of variance procedure to test hypotheses about: A) the mean of one population B) the proportion of one population C) two or more population proportions D) two or more population means Answer: D Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 010 2) Which of the following assumptions is not required to use ANOVA? A) The populations from which the samples are drawn are (approximately) normally distributed.

B) The populations from which the samples are drawn have the same variance.

C) All samples are of the same size.

D) The samples drawn from different populations are random and independent.

Answer: C Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 011

352

3) In a one-way ANOVA, we analyze only one: A) mean B) population C) sample D) variable Answer: D Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 012 4) A one-way ANOVA test: A) is a left-tailed test B) is a right-tailed test C) is a two-tailed test D) can be a two-tailed, a right-tailed, or a left-tailed test Answer: B Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 013 5) To make tests of hypotheses about more than two population means, we use the: A) t distribution B) normal distribution C) chi-square distribution D) analysis of variance procedure Answer: D Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 014

353

6) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display Type I 90 135 135 115

Display Type II 135 128 132 120

Display Type III 160 150 141 134

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of SSB is: Answer: 1,550 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 015 7) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display Type I 93 132 135 115

Display Type II 135 136 124 120

Display Type III 160 150 135 140

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of SSW, rounded to two decimal places, is: Answer: 1676.25 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 016

354

8) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display Type I 100 125 135 115

Display Type II 135 133 127 120

Display Type III 160 150 147 128

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The degrees of freedom for the numerator of the F distribution are: Answer: 2 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 017 9) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display Type I 103 122 135 115

Display Type II 135 121 139 120

Display Type III 160 150 135 140

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The degrees of freedom for the denominator of the F distribution are: Answer: 9 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 018

355

10) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display Type I 106 119 135 115

Display Type II 135 140 120 120

Display Type III 160 150 130 145

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of the test statistic F, rounded to three decimal places, is: Answer: 5.679 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 019 11) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community: Mail 7 7 10 7 9 5 4

TV 9 13 7 14 4 7

Internet 16 11 14 8 9 14 8

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The value of SSB, rounded to four decimal places, is: Answer: 68.8357 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 020 356

12) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community: Mail 7 7 10 7 9 5 4

TV 9 12 8 14 4 7

Internet 16 11 12 8 9 14 10

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. What is the variance within samples, rounded to four decimal places?

Answer: 8.1008 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 021 13) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community: Mail 5 9 10 7 9 5 4

TV 9 11 9 14 4 7

Internet 16 11 11 8 9 14 11

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The degrees of freedom for the numerator of the F distribution are: Answer: 2 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 022 357

14) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community: Mail 6 8 10 7 9 5 4

TV 9 9 11 14 4 7

Internet 16 11 10 8 9 14 12

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The degrees of freedom for the denominator of the F distribution are: Answer: 17 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 023 15) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community: Mail 5 9 10 7 9 5 4

TV 9 13 7 14 4 7

Internet 16 11 14 8 9 14 8

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The value of the test statistic F, rounded to three decimal places, is: Answer: 3.407 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 024 358

16) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 36.4 80.2

Mean Square

F

36

How many data points were used in this analysis?

Answer: 37 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 025 17) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 38.6 58.9

Mean Square

F

32

How many degrees of freedom are there for the between groups variation?

Answer: 4 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 026

359

18) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 37.8 62.6

Mean Square

F

34

How many degrees of freedom are there for the within groups variation?

Answer: 30 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 027 19) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 40.5 72.8

Mean Square

F

32

What is the value of the total sum of squares? (Round your answer to one decimal place.)

Answer: 113.3 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 028

360

20) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 38.2 94.2

Mean Square

F

41

What is the value of the mean square between groups? (Round your answer to three decimal places.)

Answer: 9.550 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 029 21) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 28.9 85.8

Mean Square

F

32

What is the value of the mean square within groups? (Round your answer to three decimal places.)

Answer: 3.064 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 030

361

22) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is

Source of Variation Between Within Total

Degrees of Freedom

Sum of Squares 36.5 68.1

Mean Square

F

44

What is the value of the test statistic F? (Round your answer to three decimal places.)

Answer: 5.360 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 031 23) Using ANOVA, you test the hypothesis that the means of 3 treatments are the same. You calculate the MSW as 16.6. The value of the test statistic F is 2.1. What is the between samples sum of squares, rounded to two decimal places?

Answer: 146.16 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 032 24) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 17 26 19 12

Sample II 14 9 20 8 19

Sample III 21 16 24 16 16

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of is: Answer: 252 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 033

362

25) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 16 27 19 12

Sample II 14 9 16 12 19

Sample III 21 16 24 18 14

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of is: Answer: 4546 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 034 26) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 21 22 19 12

Sample II 14 9 15 13 19

Sample III 21 16 24 16 16

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of SSB, rounded to two decimal places, is: Answer: 60.40 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 035

363

27) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 22 21 19 12

Sample II 14 9 13 15 19

Sample III 21 16 24 14 18

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of SSW is: Answer: 186 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 036 28) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 17 26 19 12

Sample II 14 9 14 14 19

Sample III 21 16 24 12 20

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of MSB is: Answer: 30.2 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 037

364

29) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 21 22 19 12

Sample II 14 9 20 8 19

Sample III 21 16 24 15 17

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of MSW, rounded to three decimal places, is: Answer: 20.833 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 038 30) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 15 28 19 12

Sample II 14 9 16 12 19

Sample III 21 16 24 12 20

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The degrees of freedom for the numerator of the F distribution are: Answer: 2 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 039

365

31) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 22 21 19 12

Sample II 14 9 14 14 19

Sample III 21 16 24 16 16

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The degrees of freedom for the denominator of the F distribution are: Answer: 12 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 040 32) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 22 21 19 12

Sample II 14 9 13 15 19

Sample III 21 16 24 18 14

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The critical value of F is: A) 4.81 B) 2.76 C) 6.93 D) 99.42 Answer: C Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 041

366

33) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 22 21 19 12

Sample II 14 9 14 14 19

Sample III 21 16 24 18 14

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of the test statistic F, rounded to three decimal places, is: Answer: 1.970 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 042 34) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I 15 20 23 19 12

Sample II 14 9 13 15 19

Sample III 21 16 24 10 22

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 043

367

35) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 10 8 9 6 13

Sample II 8 14 14 20 19

Sample III 19 11 15 4 4

Sample IV 16 12 19 8 11 12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of is: Answer: 257 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 044 36) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 6 12 9 6 13

Sample II 8 14 19 20 14

Sample III 19 11 15 4 4

Sample IV 16 12 19 8 10 13

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of is: Answer: 3541 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 045

368

37) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 9 9 9 6 13

Sample II 8 14 21 20 12

Sample III 19 11 14 5 4

Sample IV 16 12 19 8 8 15

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of SSB, rounded to three decimal places, is: Answer: 132.073 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 046 38) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 8 10 9 6 13

Sample II 8 14 14 20 19

Sample III 19 11 9 10 4

Sample IV 16 12 19 8 9 14

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of SSW is: Answer: 338.7 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 047

369

39) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 10 8 9 6 13

Sample II 8 14 17 20 16

Sample III 19 11 12 7 4

Sample IV 16 12 19 8 11 12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of MSB, rounded to three decimal places, is: Answer: 44.024 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 048 40) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 10 8 9 6 13

Sample II 8 14 22 20 11

Sample III 19 11 9 10 4

Sample IV 16 12 19 8 11 12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of MSW, rounded to three decimal places, is: Answer: 20.817 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 049

370

41) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 11 7 9 6 13

Sample II 8 14 22 20 11

Sample III 19 11 11 8 4

Sample IV 16 12 19 8 11 12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The degrees of freedom for the numerator of the F distribution are: Answer: 3 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 050 42) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 9 9 9 6 13

Sample II 8 14 19 20 14

Sample III 19 11 11 8 4

Sample IV 16 12 19 8 8 15

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The degrees of freedom for the denominator of the F distribution are: Answer: 18 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 051

371

43) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 6 12 9 6 13

Sample II 8 14 21 20 12

Sample III 19 11 14 5 4

Sample IV 16 12 19 8 10 13

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The critical value of F is: A) 5.48 B) 3.16 C) 7.15 D) 1.84 Answer: B Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 052 44) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 10 8 9 6 13

Sample II 8 14 23 20 10

Sample III 19 11 8 11 4

Sample IV 16 12 19 8 7 16

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of the test statistic F, rounded to three decimal places, is: Answer: 1.790 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 053

372

45) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I 5 7 11 9 6 13

Sample II 8 14 16 20 17

Sample III 19 11 10 9 4

Sample IV 16 12 19 8 7 16

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 054 46) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 9 5 6 8

Diet B 4 3 3 7 7

Diet C 15 12 17 12 14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of is: Answer: 129 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 055

373

47) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 8 6 6 8

Diet B 4 3 4 6 7

Diet C 15 12 17 15 11

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of is: Answer: 1379 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 056 48) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 9 5 6 8

Diet B 4 3 6 4 7

Diet C 15 12 17 11 15

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of SSB is: Answer: 230.8 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 057

374

49) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 6 8 6 8

Diet B 4 3 4 6 7

Diet C 15 12 17 14 12

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of SSW is: Answer: 32.8 Diff: 2 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 058 50) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 10 4 6 8

Diet B 4 3 4 6 7

Diet C 15 12 17 12 14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of MSB is: Answer: 115.4 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 059

375

51) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 6 8 6 8

Diet B 4 3 6 4 7

Diet C 15 12 17 15 11

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of MSW, rounded to three decimal places, is: Answer: 3.233 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 060 52) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 8 6 6 8

Diet B 4 3 4 6 7

Diet C 15 12 17 12 14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The degrees of freedom for the numerator of the F distribution are: Answer: 2 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 061

376

53) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 10 4 6 8

Diet B 4 3 8 2 7

Diet C 15 12 17 15 11

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The degrees of freedom for the denominator of the F distribution are: Answer: 12 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 062 54) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 11 3 6 8

Diet B 4 3 7 3 7

Diet C 15 12 17 17 9

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The critical value of F is: A) 4.75 B) 3.18 C) 5.10 D) 9.57 Answer: C Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 063 377

55) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 6 8 6 8

Diet B 4 3 8 2 7

Diet C 15 12 17 12 14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of the test statistic F, rounded to three decimal places, is: Answer: 28.377 Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 064

378

56) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A 7 8 6 6 8

Diet B 4 3 4 6 7

Diet C 15 12 17 18 8

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. Assume that all conditions required to use ANOVA hold true. Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance Question Title: Chapter 12, Testbank Question 065

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Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

379

Introductory Statistics, 10e (Mann) Chapter 13 Simple Linear Regression 13.1

Simple Linear Regression

1) A simple regression model contains: A) two independent variables B) two dependent variables C) one independent and one dependent variable D) more than one independent variable Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 001 2) A linear regression model: A) gives a relationship between two variables that can be described by a straight line B) gives a relationship between two variables that cannot be described by a line C) gives a relationship between three variables that can be described by a line D) contains only two variables Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 002 3) In a regression model, the y-intercept is the: A) point where the y-axis intersects the x-axis B) point where the regression line intersects the y-axis C) point where the regression line intersects the x-axis D) value of y when x is equal to 1 Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 003

380

4) In a regression model, the slope represents the: A) point where the y-axis intersects the x-axis B) change in y due to a one-unit change in x C) value of y when x is equal to 1 D) change in the independent variable due to a one-unit change in the dependent variable Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 004 5) In the equation y = 12 + 6x, y is the: A) independent variable B) slope of the line C) dependent variable D) y-intercept Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 005 6) In the equation y = 12 + 6x, x is the: A) independent variable B) slope of the line C) dependent variable D) y-intercept Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 006 7) In the equation y = 9 + 5x, 9 is the: A) independent variable B) slope of the line C) dependent variable D) y-intercept Answer: D Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 007

381

8) In the equation y = 3 + 2x, 2 is the: A) independent variable B) slope of the line C) dependent variable D) y-intercept Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 008 9) In the equation y = 120 - 7x, 120 is the: A) value of y when x is equal to 1 B) point where the line intersects the x-axis C) change in y due to a one-unit change in x D) point where the line intersects the y-axis Answer: D Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 009 10) In the equation y = 150 - 3x, -3 is the: A) value of y when x is equal to 1 B) point where the line intersects the x-axis C) change in y due to a one-unit change in x D) change in x due to a one-unit change in y Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 010 11) The model y = A + Bx is a: A) probabilistic model B) nonlinear model C) stochastic model D) deterministic model Answer: D Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 011

382

12) The regression model y = A + Bx + ɛ is: A) a probabilistic model B) a nonlinear model C) an exact relationship D) a deterministic model Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 012 13) In the regression model y = A + Bx + ɛ, A and B are the: A) sample statistics B) random variables C) population parameters D) omitted variables Answer: C Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 013 14) In the regression model y = A + Bx + ɛ, ɛ is the: A) slope of the regression line B) random error term C) y-intercept D) missing variable Answer: B Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 014 15) In the regression model y = A + Bx + ɛ, x is the: A) dependent variable B) independent variable C) error term D) missing variable Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 015

383

16) In the regression model y = A + Bx + ɛ, y is the: A) dependent variable B) independent variable C) error term D) missing variable Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 016 17) In a regression model, the random error term is included to capture the effects of the: A) independent variable B) dependent variable C) missing variables and random variation D) deterministic relationship Answer: C Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 017 18) In the regression model = a + bx, a and b are the: A) estimates of the population parameters A and B B) random variables C) population parameters D) omitted variables Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 018 19) In the regression model = a + bx, a and b are the: A) sample statistics B) random variables C) population parameters D) omitted variables Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 019

384

20) In the regression model = a + bx, ŷ is the: A) actual value of y B) predicted value of y C) value of y when a and b are zero D) missing value of y Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 020 21) We construct a scatter diagram by: A) scattering the values of x over the values of y B) scattering the values of y over the values of x C) plotting the paired values of x and y D) plotting the values of the population parameters A and B Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 021 22) The value of y obtained for an element from a survey is the: A) predicted value of y B) estimated value of y C) actual value of y D) residual Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 022 23) The random error for the sample regression model, denoted by e, is equal to the: A) predicted value of y minus the estimated value of y B) estimated value of y minus the predicted value of y C) actual value of y minus the predicted value of y D) actual value of y minus the actual value of x Answer: C Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 023

385

24) For a regression model, the error sum of squares, denoted by SSE, is equal to the sum of the: A) errors B) squares of errors C) squares of y values D) squares of the difference between x and y values Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 024 25) The least squares method minimizes the: A) difference between the y and x values B) sum of the errors C) sum of the squares of errors D) sum of the y values Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 025 26) The value of

:

A) is always negative B) is always non-negative C) is always positive D) can be negative, zero, or positive Answer: B Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 026 27) The value of

:

A) is always negative B) is always non-negative C) is always positive D) can be negative, zero, or positive Answer: D Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 027

386

28) Given that

= 546 and

= 1196, the value of b in the regression of y on x, rounded to

two decimal places, is: Answer: 2.19 Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 028 29) Given that

= 893 and

= -392, the value of b in the regression of y on x, rounded to

two decimal places, is: Answer: -0.44 Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 029 30) For a data set on x and y, the value of

is 611,

is -1739, the mean of the x values is

80, and the mean of the y values is 21. The value of a in the regression of y on x, rounded to two decimal places, is: Answer: 139.77 Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 030 31) For a data set on x and y, the value of

is 969,

is 600, the mean of the x values is 7,

and the mean of the y values is 85. The value of a in the regression of y on x, rounded to two decimal places, is: Answer: 80.67 Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 031

387

32) The table shown below gives six pairs of x and y values. x 16 20 12 10 13 9

y 8 13 9 8 6 4

The values of

and

, rounded to three decimal places, are:

A) 83.333 and 50.000 B) 83.333 and 58.000 C) 74.333 and 50.000 D) 74.333 and 58.000 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 032 33) The table shown below gives six pairs of x and y values. x 16 20 12 10 14 9

y 8 13 9 4 6 4

For the regression of y on x, the values of a and b, rounded to two decimal places, are: A) -2.69 and 0.74 B) -2.69 and 0.84 C) -5.35 and 0.84 D) -5.35 and 0.74 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 033

388

34) The table shown below gives six pairs of x and y values. x 16 20 12 10 8 9

y 8 13 9 5 6 4

Using the regression of y on x, the predicted value of y for x = 11, rounded to two decimal places, is: Answer: 6.56 Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 034 35) The table shown below gives seven pairs of x and y values. x 12 9 14 8 10 4 18 The values of

y 18 35 12 40 26 33 10 and

, rounded to three decimal places, are:

A) 121.429 and -273.286 B) 130.429 and -273.286 C) 130.429 and -284.286 D) 121.429 and -284.286 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 035

389

36) The table shown below gives seven pairs of x and y values. x 12 9 14 8 10 6 18

y 18 35 12 40 24 33 10

For the regression of y on x, the values of a and b, rounded to two decimal places, are: A) 53.19 and -2.60 B) 51.92 and -2.60 C) 51.92 and -2.71 D) 53.19 and -2.71 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 036 37) The table shown below gives seven pairs of x and y values. x 12 9 14 8 10 6 18

y 18 35 12 40 28 33 10

Using the regression of y on x, the predicted value of y for x = 13, rounded to two decimal places, is: Answer: 19.86 Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 037

390

38) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 12.4 10 4.5 27 8.5 The values of

and

, rounded to three decimal places, are:

A) 294.833 and 103.767 B) 294.833 and 118.767 C) 275.833 and 118.767 D) 275.833 and 103.767 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 038 39) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 12.2 14 4.5 27 8.5 For the regression of y on x, the values of a and b, rounded to two decimal places, are: A) -1.88 and 0.42 B) -4.38 and 0.42 C) -4.38 and 0.53 D) -1.88 and 0.53 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 039 391

40) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 11.5 12 4.5 27 8.5 Using the regression of monthly rent paid on monthly income, the predicted value of monthly rent paid by a family with a monthly income of $2700, rounded to the nearest dollar, is: Answer: $903 Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 040 41) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 113 12 4.5 27 8.5 Suppose we have information on the monthly incomes and the monthly rents paid by a sample of families. In the regression of monthly rent paid on the monthly income for these data, the value of a will represent: A) the point where this regression line will intersect the y-axis B) the point where this regression line will intersect the x-axis C) an increase in the monthly rent paid by a family due to a $100 increase in income D) an increase in the income of a family due to a $100 increase in the monthly rent Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 041

392

42) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Let x be monthly income and y be monthly rent.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 117 12 4.5 27 8.5 Suppose we have information on the monthly incomes and the monthly rents paid by a sample of families. In the regression of monthly rent paid on the monthly income for these data, the value of b will represent: A) the point where this regression line will intersect the y-axis B) the point where this regression line will intersect the x-axis C) an increase in the monthly rent paid by a family due to a $1 (in hundred) increase in income D) an increase in the income of a family due to a $100 increase in the monthly rent Answer: C Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 042 43) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses. Let x denote the age and y denote the price.

Age 27 15 3 35 14 18

Price 165 182 205 166 180 161

The values of

and

, rounded to three decimal places, are:

A) 617.333 and -740.000 B) 617.333 and -758.000 C) 610.333 and -758.000 D) 610.333 and -740.000 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 043 393

44) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 11 18

Price 165 182 205 186 180 161

For the regression of price on age, the estimated values of A and B, rounded to two decimal places, are: A) 191.35 and -0.63 B) 191.98 and -0.67 C) 191.98 and -0.63 D) 191.35 and -0.67 Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 044 45) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 10 18

Price 165 182 205 178 180 161

Using the regression of price on age, the predicted price of a house that is 23 years old, rounded to the nearest dollar, is: Answer: $174,383 Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 045

394

46) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 8 18

Price 165 182 205 188 180 161

In the regression of price on age for these data, the value of a will represent: A) the point where this regression line will intersect the y-axis B) the point where this regression line will intersect the x-axis C) an decrease in the age of a house due to a $1,000 increase in its price D) an decrease in the price of a house due to a one year increase in its age Answer: A Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 046 47) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 11 18

Price 165 182 205 182 180 161

In the regression of price on age for these data, the value of b will represent: A) the point where this regression line will intersect the y-axis B) the point where this regression line will intersect the x-axis C) an decrease in the age of a house due to a $1,000 increase in its price D) an decrease in the price of a house due to a one year increase in its age Answer: D Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 047

395

48) An assumption of the regression model is that the random error term has a mean equal to: A) zero for each x B) one for each x C) the value of each x D) zero for each y Answer: A Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 048 49) An assumption of the regression model is that the distribution of errors is: A) binomial B) rectangular C) normal D) bimodal Answer: C Diff: 1 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 049 50) The regression model assumes that the spread of points around the regression line is: A) different for all values of x B) different for all values of y C) similar for all values of y D) similar for all values of x Answer: D Diff: 2 LO: 13.1.0 Demonstrate an understanding of the fundamentals of a simple regression model.

Section: 13.1 Simple Linear Regression Question Title: Chapter 13, Testbank Question 050

396

13.2

Standard Deviation of Errors and Coefficient of Determination

1) The degrees of freedom for a simple linear regression of sample size n are: A) n - 1 B) n - 2 C) n - 3 D) 2n - 1 Answer: B Diff: 1 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 051 2) The coefficient of determination represents the proportion of: A) SSE (error sum of squares) that the regression model explains B) SSR (regression sum of squares) that the regression model explains C) SST (total sum of squares) that the regression model explains D) SSR (regression sum of squares) that the regression model does not explain Answer: C Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 052 3) The value of

:

A) is always negative B) is always nonnegative C) is always positive D) can be negative, positive, or zero Answer: B Diff: 1 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 053

397

4) The value of the coefficient of determination is always: A) less than 1 B) greater than 1 C) in the range zero to 1 D) between -1 and 1 Answer: C Diff: 1 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 054 5) The total sum of squares (SST) is always equal to the: A) regression sum of squares plus the error sum of squares B) regression sum of squares minus the error sum of squares C) error sum of squares minus the regression sum of squares D) regression sum of squares divided by the error sum of squares Answer: A Diff: 1 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 055 6) The coefficient of determination is equal to the: A) total sum of squares divided by the regression sum of squares B) error sum of squares divided by the regression sum of squares C) regression sum of squares divided by the total sum of squares D) error sum of squares divided by the total sum of squares Answer: C Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 056 7) One way to measure the quality of the regression model is to inspect the value of the: A) constant term B) coefficient on x C) coefficient of determination D) mean of x Answer: C Diff: 1 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 057 398

8) For a sample of 19 values of x and y,

= 844,

= 290, and

The standard

deviation of errors for the regression of y on x, rounded to three decimal places, is: Answer: 4.449 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 058 9) For a sample of 24 values of x and y,

= 777,

= 290, and

The coefficient of

determination for the regression of y on x, rounded to three decimal places, is: Answer: 0.746 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 059 10) For a sample of 10 values of x and y,

= 358,

= 535, and

The standard

deviation of errors for the regression of y on x, rounded to three decimal places, is: Answer: 5.357 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 060 11) For a sample of 23 values of x and y,

= 316,

= 585, and

The coefficient of

determination for the regression of y on x, rounded to three decimal places, is: Answer: 0.389 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 061 12) For a sample of 18 values of x and y,

= 154,

= -71, and

The standard

deviation of errors for the regression of y on x, rounded to three decimal places, is: Answer: 2.074 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 062 399

13) For a sample of 9 values of x and y,

= 199,

= -97, and

The coefficient of

determination for the regression of y on x, rounded to three decimal places, is: Answer: 0.507 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 063 14) The table shown below gives six pairs of x and y values. x 16 20 12 10 18 9

y 8 13 9 7 6 4

The standard deviation of errors for the regression of y on x, rounded to three decimal places, is: Answer: 2.621 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 064 15) The table shown below gives six pairs of x and y values. x 16 20 12 10 16 9

y 8 13 9 3 6 4

The coefficient of determination for the regression of y on x, rounded to three decimal places, is: Answer: 0.672 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 065

400

16) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 9.7 12 4.5 27 8.5 The standard deviation of errors for the regression of monthly rent on monthly income, rounded to three decimal places, is: Answer: 0.545 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 066 17) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 10.8 11 4.5 27 8.5 The coefficient of determination for the regression of y on x, rounded to three decimal places, is: Answer: 0.910 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 067

401

18) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 6 18

Price 165 182 205 164 180 161

The standard deviation of errors for the regression of y on x, rounded to three decimal places, is: Answer: 11.369 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 068 19) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 11 18

Price 165 182 205 182 180 161

The coefficient of determination for the regression of y on x, rounded to three decimal places, is: Answer: 0.292 Diff: 2 LO: 13.2.0 Demonstrate an understanding of the concepts of standard deviation of errors and coefficient of determination.

Section: 13.2 Standard Deviation of Errors and Coefficient of Determination Question Title: Chapter 13, Testbank Question 069

402

13.3

Inferences About B

1) The slope, b, of the regression line: A) is a point estimator of the slope of the population regression line B) possesses no sampling distribution C) will have the same value for all samples taken from the population D) is not affected by the elements taken from the population Answer: A Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 070 2) For a data set of x and y values, the value of

= 207 and the standard deviation of errors for

the regression of y on x is 8.823. The standard deviation of the sampling distribution of b, rounded to three decimal places, is: Answer: 0.613 Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 071 3) For a data set of x and y values, the value of

= 973 and the standard deviation of errors for

the regression of y on x is 74.033. The standard deviation of the sampling distribution of b, rounded to three decimal places, is: Answer: 2.373 Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 072 4) For a data set of x and y values, the value of

= 69 and the standard deviation of errors for

the regression of y on x is 3.960. The standard deviation of the sampling distribution of b, rounded to three decimal places, is: Answer: 0.477 Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 073

403

5) For a data set of 10 values of x and y, the value of

= 103, the standard deviation of errors

for the regression of y on x is 3.871, and the value of b is 7.17.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. The 95% confidence interval for the slope, B, of the population regression line is: Answer: 6.29 to 8.05 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 074 6) For a data set of 10 values of x and y, the value of

= 103, the standard deviation of errors

for the regression of y on x is 2.958, and the value of b is 5.42.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What are the critical values of t?

A) -2.306 and 2.306 B) -2.228 and 2.228 C) -1.812 and 1.812 D) -1.860 and 1.860 Answer: A Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 075 7) For a data set of 10 values of x and y, the value of

= 38, the standard deviation of errors for

the regression of y on x is 3.421, and the value of b is 6.03.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: 10.866 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 076 404

8) For a data set of 10 values of x and y, the value of

= 83, the standard deviation of errors for

the regression of y on x is 0.003, and the value of b is -0.02.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 077 9) For a data set of 8 values of x and y, the value of

= 235, the standard deviation of errors for

the regression of y on x is 10.861, and the value of b is -6.20.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 1%. The 99% confidence interval for the slope, B, of the population regression line is: Answer: -8.83 to -3.57 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 078 10) For a data set of 8 values of x and y, the value of

= 184, the standard deviation of errors

for the regression of y on x is 10.436, and the value of b is -2.35.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 1%. What is the critical value of t?

A) -2.896 B) -2.998 C) -3.499 D) -3.143 Answer: D Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 079 405

11) For a data set of 8 values of x and y, the value of

= 183, the standard deviation of errors

for the regression of y on x is 10.437, and the value of b is -2.51.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 1%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: -3.253 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 080 12) For a data set of 8 values of x and y, the value of

= 158, the standard deviation of errors

for the regression of y on x is 14.345, and the value of b is -2.83.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 081 13) For a data set of 15 values of x and y, the value of

= 320, the standard deviation of errors

for the regression of y on x is 8.713, and the value of b is 0.53.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 5%. The 90% confidence interval for the slope, B, of the population regression line is: Answer: -0.33 to 1.39 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 082

406

14) For a data set of 15 values of x and y, the value of

= 373, the standard deviation of errors

for the regression of y on x is 7.864, and the value of b is 0.51.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 5%. What is the critical value of t?

A) 1.753 B) 1.751 C) 1.771 D) 2.131 Answer: C Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 083 15) For a data set of 15 values of x and y, the value of

= 343, the standard deviation of errors

for the regression of y on x is 7.991, and the value of b is 1.89.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: 4.380 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 084 16) For a data set of 15 values of x and y, the value of

= 324, the standard deviation of errors

for the regression of y on x is 8.673, and the value of b is 1.35.

For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 085 407

17) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 12.8 11 4.5 27 8.5 The 99% confidence interval for the slope, B, of the population regression line is: Answer: -0.01 to 0.77 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 086 18) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 11.4 12 4.5 27 8.5 The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 1%. What is the critical value of t?

A) 3.747 B) 3.143 C) 3.365 D) 4.032 Answer: A Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 087

408

19) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 11 14 4.5 27 8.5 The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 1%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: 5.043 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 088 20) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 11 14 4.5 27 8.5 The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. Do you reject or fail to reject the null hypothesis at the 1% significance level?

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 089

409

21) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 7 18

Price 165 182 205 179 180 161

The 95% confidence interval for the slope, B, of the population regression line of price on age is: Answer: -2.21 to 0.72 Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 090 22) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 14 18

Price 165 182 205 166 180 161

The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 5%. What is the critical value of t?

A) -2.015 B) -2.132 C) -1.943 D) -2.447 Answer: B Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 091

410

23) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 11 18

Price 165 182 205 185 180 161

The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Answer: -1.406 Diff: 2 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 092 24) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 13 18

Price 165 182 205 181 180 161

The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 1 LO: 13.3.0 Demonstrate an understanding of estimation and tests of hypotheses about the population regression slope B. Section: 13.3 Inferences About B Question Title: Chapter 13, Testbank Question 093

411

13.4

Linear Correlation

1) The value of the correlation coefficient is always: A) in the range 0 to 1 B) less than zero C) in the range -1 to 1 D) greater than zero Answer: C Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 094 2) A perfect positive correlation means: A) the points in a scatter diagram lie on an upward sloping line B) the points in a scatter diagram lie on a downward sloping line C) r is equal to -1 D) r is equal to 0 Answer: A Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 095 3) A perfect negative correlation means: A) the points in a scatter diagram lie on an upward sloping line B) the points in a scatter diagram lie on a downward sloping line C) r is equal to 1 D) r is equal to 0 Answer: B Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 096

412

4) A strong positive correlation means: A) the points in a scatter diagram lie on an upward sloping line B) the points in a scatter diagram lie on a downward sloping line C) r is close to 1 D) r is close to -1 Answer: C Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 097 5) A strong negative correlation means: A) the points in a scatter diagram lie on an upward sloping line B) the points in a scatter diagram lie on a downward sloping line C) r is close to -1 D) r is close to 1 Answer: C Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 098 6) A weak positive correlation means: A) the points in a scatter diagram are very close to an upward sloping line B) the points in a scatter diagram are very close to a downward sloping line C) r is positive and close to zero D) r is close to 1 Answer: C Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 099 7) A weak negative correlation means: A) the points in a scatter diagram are very close to an upward sloping line B) the points in a scatter diagram are very close to a downward sloping line C) r is negative and close to zero D) r is close to -1 Answer: C Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 100 413

8) The value of the correlation coefficient is zero if the points in a scatter diagram: A) lie on an upward sloping line B) lie on a downward sloping line C) are scattered all over the diagram D) are close to the regression line Answer: C Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 101 9) Will you expect a positive, zero, or negative linear correlation between the price of a bookbag and the number of bookbags sold?

Answer: negative Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 102 10) Will you expect a positive, zero, or negative linear correlation between the number of toppings on a pizza and the price of the pizza?

Answer: positive Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 103 11) Will you expect a positive, zero, or negative linear correlation between the height of wives and the number of pets in the household?

Answer: zero Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 104 12) Given that

= 277,

= 277, and

= 181, what is the value of the correlation

coefficient, rounded to three decimal places?

Answer: 0.849 Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 105 414

13) Given that

= 889,

= 889, and

= 560, what is the value of the correlation

coefficient, rounded to three decimal places?

Answer: 0.458 Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 106 14) Given that

= 210,

= 210, and

= 335, what is the value of the correlation

coefficient, rounded to three decimal places?

Answer: -0.694 Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 107 15) A population data set produced the following information.

N = 200, = 7850, = 1100, = 64,050, = 429,400, and

= 115,945

Find the linear correlation coefficient ρ, rounded to three decimal places.

Answer: 0.181 Diff: 2 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 108

415

16) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 12.1 10 4.5 27 8.5 Do you expect the monthly incomes and monthly rents to be positively or negatively related?

Answer: positively Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 109 17) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 9.2 14 4.5 27 8.5 What is the value of the correlation coefficient?

Answer: 0.979 Diff: 2 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 110

416

18) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 9.4 12 4.5 27 8.5 Using a 5% significance level, test whether the correlation coefficient is different from zero. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 2 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 111 19) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 12 18

Price 165 182 205 188 180 161

Do you expect the ages and prices of houses to be positively or negatively related?

Answer: negatively Diff: 1 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 112

417

20) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 12 18

Price 165 182 205 179 180 161

What is the value of the correlation coefficient?

Answer: -0.777 Diff: 2 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 113 21) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 15 3 35 9 18

Price 165 182 205 180 180 161

Using a 1% significance level, test whether the correlation coefficient is negative.

Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 2 LO: 13.4.0 Demonstrate an understanding of the linear correlation coefficient and the related test of hypothesis.

Section: 13.4 Linear Correlation Question Title: Chapter 13, Testbank Question 114

418

13.5

Regression Analysis: A Complete Example

1) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 31 65 27 56 72 62 47 67

Charitable Contributions 5 12 2 21 3 12 41 36 18 16

With the age as an independent variable and charitable contributions as a dependent variable, compute , , and , rounded to one decimal place.

A)

= 2048.4 = 1568.4 = 1383.6

B)

= 274,576.0 = 27,556.0 = 86,984.0

C)

= 524.0 = 166.0 = 10,082.0

D)

= 274,576.0 = 27,556.0 = 1383.6

Answer: A Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 115

419

2) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 28 65 27 56 72 62 47 68

Charitable Contributions 5 12 2 21 3 12 41 36 18 17

For the least squares regression line, the values of a and b, rounded to four decimal places, are: A) a = -17.2880 b = 0.6511 B) a = 0.9200 b = 0.6511 C) a = -63.4688 b = 1.5358 D) a = 1.0870 b = 1.5358 Answer: A Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 116

420

3) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 32 65 27 53 72 62 47 68

Charitable Contributions 5 12 1 21 3 12 41 36 18 16

Calculate r and , rounded to three decimal places.

A) r = 0.780 = 0.608 B) r = 0.608 = 0.370 C) r = 4.161 = 17.318 D) r = 17.318 = 299.913 Answer: A Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 117

421

4) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 31 65 27 56 72 62 47 67

Charitable Contributions 5 12 3 21 3 10 41 36 18 15

Compute the standard deviation of errors, rounded to three decimal places.

Answer: 9.269 Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 118

422

5) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 31 65 27 55 72 62 47 68

Charitable Contributions 5 12 2 21 3 11 41 36 18 15

Construct a 99% confidence interval for B, rounded to three decimal places.

A) -0.016 to 1.338 B) 0.076 to 1.245 C) 0.005 to 1.317 D) 0.524 to 0.797 Answer: A Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 119

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6) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 28 65 27 54 72 62 47 69

Charitable Contributions 5 12 3 21 3 10 41 36 18 17

Test at a 1% significance level whether B is positive. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 120

424

7) The following table gives information on the ages (in years) and the charitable contributions (in hundreds of dollars) for the last year for a random sample of 10 individuals.

Age 52 45 30 65 27 54 72 62 47 68

Charitable Contributions 5 12 2 21 3 11 41 36 18 16

Using α = 0.01, test whether the correlation coefficient is different from zero. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 2 LO: 13.5.0 Demonstrate a complete regression analysis in the context of an application.

Section: 13.5 Regression Analysis: A Complete Example Question Title: Chapter 13, Testbank Question 121

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13.6

Using the Regression Model

1) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income 24 16 19 32 10 28

Monthly Rent 7.0 4.5 6.5 11.5 4.5 8.5

What is the 99% confidence interval for the mean monthly rent of all families with a monthly income of $2900, rounded to the nearest penny?

A) $664.15 to $1213.97 B) $715.32 to $1162.80 C) $698.30 to $1179.82 D) $779.13 to $1098.99 Answer: A Diff: 3 LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model Question Title: Chapter 13, Testbank Question 122 2) The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income 24 17 19 32 10 26

Monthly Rent 7.0 4.5 6.5 11.6 4.5 8.0

What is the 99% confidence interval for the mean monthly rent of a randomly selected family with a monthly income of $2900, rounded to the nearest penny?

A) $347.50 to $1544.21 B) $458.88 to $1432.83 C) $421.84 to $1469.87 D) $636.23 to $1255.48 Answer: A Diff: 3 LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model Question Title: Chapter 13, Testbank Question 123 426

3) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 16 3 33 7 18

Price 165 181 205 160 180 162

What is the 90% confidence interval for the average price of all 18-year old homes, rounded to the nearest dollar?

A) $165,942 to $183,364 B) $166,420 to $182,886 C) $168,389 to $180,917 D) $151,645 to $197,661 Answer: A Diff: 3 LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model Question Title: Chapter 13, Testbank Question 124

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4) The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses.

Age 27 14 3 37 7 18

Price 165 180 205 163 180 163

What is the 90% confidence interval for the average price of all 15-year old homes, rounded to the nearest dollar?

A) $154,231 to $203,352 B) $155,579 to $202,004 C) $161,132 to $196,452 D) $169,301 to $188,282 Answer: A Diff: 3 LO: 13.6.0 Demonstrate an understanding of two uses of the regression model.

Section: 13.6 Using the Regression Model Question Title: Chapter 13, Testbank Question 125

© 2021 John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course.

Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

428

Introductory Statistics, 10e (Mann) Chapter 14 Multiple Regression 14.1

Multiple Regression Analysis

1) A multiple regression model contains: A) one independent variable and more than one dependent variable B) more than one independent variable and one dependent variable C) one independent and one dependent variable D) more than one dependent variable Answer: B Diff: 1 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 001 2) In a first-order multiple regression model: A) each term contains two independent variables B) some terms contain an independent variable raised to powers larger than one C) each term contains two or more independent variables raised to the first power D) each term contains a single independent variable raised to the first power Answer: D Diff: 1 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 002 3) A first-order multiple regression model with a sample size of 45 and 8 independent variables has ________ degrees of freedom.

A) 7 B) 36 C) 37 D) 44 Answer: B Diff: 2 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 003

429

4) y = 2.5 + 1.6x1 - 0.5x2 - 2.7x3 + 1.3x4 The change in y due to a one-unit change in x1 when all other independent variables included in the model are held constant, is a(n) ________ (increase / decrease) of ________. (Separate answers with a comma.)

A) increase, 1.6 B) decrease, 1.6 C) increase, 2.7 D) decrease, 2.7 Answer: A Diff: 2 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 004 5) y = 2.7 + 1.9x1 - 0.9x2 - 2.5x3 + 1.3x4 The change in y due to a one-unit change in x3 when all other independent variables included in the model are held constant, is a(n) ________ (increase / decrease) of ________. (Separate answers with a comma.)

A) decrease, 2.5 B) increase, 2.5 C) decrease, 2.7 D) increase, 2.7 Answer: A Diff: 2 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 005 6) y = 2.8 + 1.5x1 - 0.3x2 - 2.3x3 + 1.1x4 Which variable(s) have a negative relationship with y? (Separate answers with a comma, if applicable.)

A) , B)

,

C)

,

D) None of them Answer: A Diff: 2 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 006

430

7) y = 2.1 + 1.3x1 - 0.3x2 - 2.6x3 + 1.4x4 The change in y due to a three-unit change in x4 when all other independent variables included in the model are held constant, is a(n) ________ (increase / decrease) of ________. (Separate answers with a comma.)

A) increase, 4.2 B) increase, 6.3 C) decrease, 4.2 D) decrease, 6.3 Answer: A Diff: 2 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 007 8) The estimated multiple regression equation is: A) E(y) = A + B1x1 + B2x2 + B3x3 + … + Bkxk B) y = A + B1x1 + B2x2 + B3x3 + … + Bkxk C) y = a + b1x1 + b2x2 + b3x3 + … + bkxk D) ŷ = a + b1x1 + b2x2 + b3x3 + … + bkxk Answer: D Diff: 1 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 008 9) a,b1,b2,b3,…,and bk are ________ and A,B1,B2,B3,…and Bk are ________.

A) sample statistics, population parameters B) sample statistics, point estimators C) point estimators, populations D) samples, populations Answer: A Diff: 2 LO: 14.1.0 Demonstrate an understanding of the fundamentals of a multiple regression model.

Section: 14.1 Multiple Regression Analysis Question Title: Chapter 14, Testbank Question 009

431

14.2

Assumptions of the Multiple Regression Model

1) Which of the following is not an assumption for the multiple regression model?

A) There is no linear association between the random error term ò and each independent variable xi.

B) The independent linear variables are linearly related.

C) The mean of the probability distribution of ò is zero.

D) The errors associated with different sets of values of independent variables are independent.

Answer: B Diff: 1 LO: 14.2.0 Demonstrate an understanding of the assumptions of a multiple regression model.

Section: 14.2 Assumptions of the Multiple Regression Model Question Title: Chapter 14, Testbank Question 010 2) When independent variables are strongly linearly related, this occurrence is referred to as: A) linear correlation B) multicollinearity C) no relationship D) exact relationship Answer: B Diff: 2 LO: 14.2.0 Demonstrate an understanding of the assumptions of a multiple regression model.

Section: 14.2 Assumptions of the Multiple Regression Model Question Title: Chapter 14, Testbank Question 011 3) Which relationship among x1,x2, and x3, is invalid for the multiple regression model y = A + B1x1 + B2x2 + B3x3 + ϵ?

A) x1 = 7x2 + 4x3 B) = -3 C)

=

D)

=

Answer: A Diff: 2 LO: 14.2.0 Demonstrate an understanding of the assumptions of a multiple regression model.

Section: 14.2 Assumptions of the Multiple Regression Model Question Title: Chapter 14, Testbank Question 012

432

14.3

Standard Deviation of Errors

1) Which phrase does not apply to σò?

A) measure of variation among errors B) standard deviation of errors C) standard error of the errors D) standard error of the estimate Answer: C Diff: 1 LO: 14.3.0 Demonstrate an understanding of the standard deviation of errors of a multiple regression model.

Section: 14.3 Standard Deviation of Errors Question Title: Chapter 14, Testbank Question 013 2) For a multiple regression model, the standard deviation for population data is denoted by ________ and the standard deviation for sample data is denoted by ________. (Separate answers with a comma.)

Answer: σò, sò Diff: 1 LO: 14.3.0 Demonstrate an understanding of the standard deviation of errors of a multiple regression model.

Section: 14.3 Standard Deviation of Errors Question Title: Chapter 14, Testbank Question 014 3) Use the following table to answer the question: n = 7, k = 3 y 19.4 19.3 18.5 17.9 18.3 19.2 19.1

ŷ 18.3 20.3 20.8 19.4 20.2 19.5 18.4

Calculate SSE to two decimal places.

Answer: 13.94 Diff: 2 LO: 14.3.0 Demonstrate an understanding of the standard deviation of errors of a multiple regression model.

Section: 14.3 Standard Deviation of Errors Question Title: Chapter 14, Testbank Question 015

433

4) Use the following table to answer the question: n = 7, k = 3 y 18.2 19.0 21.0 21.4 20.6 19.5 17.9

ŷ 21.4 21.4 20.4 19.1 20.5 17.5 21.4

Calculate se to two decimal places.

Answer: 3.55 Diff: 2 LO: 14.3.0 Demonstrate an understanding of the standard deviation of errors of a multiple regression model.

Section: 14.3 Standard Deviation of Errors Question Title: Chapter 14, Testbank Question 016 5) Use the following table to answer the question: n = 10, k = 4 y 116.7 118.5 116.3 120.5 120.2 118.4 120.0 116.1 115.1 119.4

ŷ 119.5 118.7 117.2 117.5 119.0 118.3 118.4 115.4 114.5 119.6

Calculate SSE to two decimal places.

Answer: 22.59 Diff: 2 LO: 14.3.0 Demonstrate an understanding of the standard deviation of errors of a multiple regression model.

Section: 14.3 Standard Deviation of Errors Question Title: Chapter 14, Testbank Question 017

434

6) Use the following table to answer the question: n = 10, k = 4 y 115.1 120.1 116.3 114.7 114.6 118.4 120.3 117.0 115.1 116.5

ŷ 115.0 119.3 117.2 119.1 120.4 118.3 117.1 119.2 114.5 117.1

Calculate se to two decimal places.

Answer: 3.75 Diff: 2 LO: 14.3.0 Demonstrate an understanding of the standard deviation of errors of a multiple regression model.

Section: 14.3 Standard Deviation of Errors Question Title: Chapter 14, Testbank Question 018

435

14.4

Coefficient of Multiple Determination

1) Which phrase does not apply to R2?

A) R2 always lies in the range 0 to 1 B) coefficient of multiple determination C) the proportion of the total sum of squares SST that is explained by the multiple regression model D) the proportion of the error sum of squares SSE that is explained by the multiple regression model Answer: D Diff: 1 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 019 2) The coefficient of multiple determination is given by the ratio of: A) SSE and SST B) SSE and SSR C) SST and SSR D) SSR and SST Answer: D Diff: 1 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 020 3) The major shortcoming of R2 is that the value of R2 ________ as more and more explanatory variables are added to the regression model.

A) decreases B) increases C) stays the same D) doubles Answer: B Diff: 1 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 021

436

4) Which phrase does not apply to 2?

A) The value of 2 may increase, decrease, or stay the same as more explanatory variables are added to the regression model B) Adjusted coefficient of multiple determination C) The value of 2 can never be negative D) Coefficient of multiple determination adjusted for degrees of freedom Answer: C Diff: 1 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 022 5) Use the following table to answer the question: n = 7, k = 2 y 15 16 15 17 17 17 16

ŷ 14.526 15.610 14.547 17.219 16.652 17.303 15.421

Calculate SSE to two decimal places.

Answer: 1.18 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 023

437

6) Use the following table to answer the question: n = 7, k = 2 y 17 15 17 17 15 17 16

ŷ 17.513 15.387 16.694 17.534 15.282 17.114 16.261

Calculate to two decimal places.

Answer: 16.29 Diff: 1 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 024 7) Use the following table to answer the question: n = 7, k = 2 y 16 17 15 16 17 15 17

ŷ 15.862 17.471 14.862 15.883 17.429 15.345 16.841

Calculate SST to two decimal places.

Answer: 4.86 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 025

438

8) Use the following table to answer the question: n = 7, k = 2 y 17 16 17 15 15 15 17

ŷ 17.156 16.198 17.492 15.387 14.463 15.156 17.261

Calculate SSR to two decimal places.

Answer: 5.16 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 026 9) Use the following table to answer the question: n = 7, k = 2 y 16 15 16 15 16 17 16

ŷ 15.820 14.673 16.513 15.450 16.072 16.715 16.072

Calculate R2 to three decimal places.

Answer: 0.756 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 027

439

10) Use the following table to answer the question: n = 7, k = 2 y 16 15 17 17 16 16 15

ŷ 15.946 15.555 16.904 17.555 16.009 16.177 15.219

Calculate 2 to three decimal places.

Answer: 0.735 Diff: 3 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 028 11) Use the following table to answer the question: n = 7, k = 3 y 270 240 230 220 280 200 220

ŷ 269.940 238.785 232.250 217.420 278.575 201.935 220.465

Calculate SSE to two decimal places.

Answer: 19.19 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 029

440

12) Use the following table to answer the question: n = 7, k = 3 y 270 230 290 220 200 250 210

ŷ 271.305 227.945 292.250 221.620 202.355 247.840 212.670

Calculate to two decimal places.

Answer: 238.57 Diff: 1 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 030 13) Use the following table to answer the question: n = 7, k = 3 y 240 260 230 270 240 270 230

ŷ 241.830 258.470 227.840 268.050 238.470 268.575 228.680

Calculate SST to two decimal places.

Answer: 1885.71 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 031

441

14) Use the following table to answer the question: n = 7, k = 3 y 290 300 210 290 210 210 260

ŷ 290.990 300.465 207.210 289.415 212.670 209.625 257.315

Calculate SSR to two decimal places.

Answer: 10,519.06 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 032 15) Use the following table to answer the question: n = 7, k = 3 y 240 270 300 290 270 290 200

ŷ 242.880 272.460 298.785 288.575 267.315 290.465 201.305

Calculate R2 to three decimal places.

Answer: 0.996 Diff: 2 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 033

442

16) Use the following table to answer the question: n = 7, k = 3 y 270 240 190 270 260 230 280

ŷ 272.040 240.045 192.355 273.090 258.890 231.830 281.305

Calculate 2 to three decimal places.

Answer: 0.991 Diff: 3 LO: 14.4.0 Demonstrate an understanding of the coefficient of multiple determination in a multiple regression model.

Section: 14.4 Coefficient of Multiple Determination Question Title: Chapter 14, Testbank Question 034

443

14.5

Computer Solution of Multiple Regression

Use the following table that gives data on variables y,x1,x2 and x3, and the MINITAB output of the multiple regression analysis to answer the questions below.

1) Using the solution obtained, write the estimated regression equation.

444

Answer: ŷ = 16.4 + 3.19x1 - 0.29x2 + 0.35x3 Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 035 2) Explain the meaning of the estimated regression coefficients of the independent variables.

Answer: The value of a = 16.4 gives the value for ŷ when x1 = 0,x2 = 0 and x3 = 0. However, since x1 = 0,x2 = 0 and x3 = 0 do not occur together in the sample data, the estimate is invalid. The value b1 = 3.19 gives the change in ŷ for a one-unit change in x1 when x2 and x3 are held constant. The value b2 = -0.29 gives the change in ŷ for a one-unit change in x2 when x1 and x3 are held constant.

The value b3 = 0.35 gives the change in ŷ for a one-unit change in x3 when x1 and x2 are held constant.

Diff: 3 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 036 3) What are the values of the standard deviation of errors, the coefficient of multiple determination, and the adjusted coefficient of multiple determination?

Answer: se = 3.27503, R2 = 63.79%, 2 = 27.57% Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 037 4) What is the predicted value of y for x1 =2,x2 =5 and x3 = 1?

Answer: 21.68 Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 038 5) What is the point estimate of the expected (mean) value of y for all elements given that x1 = 5,x2 = 4 and x3 =2?

Answer: 31.89 Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 039 445

6) Construct a 95% confidence interval for the coefficient of x2, to three decimal places.

Answer: -6.845 to 6.265 Diff: 3 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 040 7) Using a 2.5% significance level will you reject that the coefficient of the null hypothesis of x3 is equal to zero?

Answer: No Diff: 3 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 041

446

Use the following to answer the questions below.

A researcher wanted to find the effect of years of experience and the average number of days of operation per month on yearly net income of a food truck business. A random sample of 10 food truck businesses operating in the same city and having similar menu items was selected. The table lists the yearly net income (in dollars) earned by these food trucks, the food truck experience (in years), and the average number of days of operation per month during the past year (in days). The MINITAB output of the multiple regression analysis is given.

447

8) Using the solution obtained, write the estimated regression equation. Let y represent the yearly net income.

Answer: ŷ = 1663 + 4660 Experience + 1000 Days Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 042 9) Explain the meaning of the estimated regression coefficients of the independent variables.

Answer: The value of a = 1663 gives the predicted value of net income when experience is 0 years and days is 0. However, since Experience = 0 and Days = 0 do not occur together in the sample data, the estimate is invalid. The value b1 = 4660 gives the change in the predicted value of net income for a one-unit change in experience when days is held constant. The value b2 = 1000 gives the change in the predicted value of net income for a one-unit change in days when experience is held constant.

Diff: 3 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 043 10) Using the solution obtained, which independent variable has the largest effect on yearly net income, Experience or Days?

Answer: Experience Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 044 11) What are the values of the standard deviation of errors, the coefficient of multiple determination, and the adjusted coefficient of multiple determination?

Answer: se = 8036.50,R2 = 86.70%, 2 = 82.90% Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 045

448

12) What is the predicted value of net income for Experience = 4 and Days = 21?

Answer: $41,303 Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 046 13) What is the point estimate of the expected (mean) value of net income for all elements given that Experience = 6 and Days = 28?

Answer: $57,623 Diff: 2 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 047 14) Construct a 95% confidence interval for the coefficient of Days, to two decimal places.

Answer: -745.37 to 2745.37 Diff: 3 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 048 15) Using a 2.5% significance level test will you reject or not reject the null hypothesis that the coefficient of Experience is positive.

Answer: Reject Diff: 3 LO: 14.5.0 Demonstrate a complete regression analysis using MINITAB in the context of an application.

Section: 14.5 Computer Solution of Multiple Regression Question Title: Chapter 14, Testbank Question 049

© 2021 John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course.

Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

449

Introductory Statistics, 10e (Mann) Chapter 15 Nonparametric Methods 15.1

The Sign Test

1) Nonparametric tests ________ the same kinds of assumptions as do parametric tests.

A) require B) do not require C) require some of D) require most of Answer: B Diff: 1 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 001 2) All of the following are advantages of a nonparametric test over a parametric test except which one?

A) Nonparametric tests can be applied to situations in which parametric tests cannot be used.

B) Nonparametric tests require a larger sample size than parametric tests.

C) Nonparametric tests do not require that the population being sampled is normally distributed.

D) Nonparametric tests are easier to use and understand.

Answer: B Diff: 1 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 002 3) The sign test cannot be used for which type of test?

A) A hypothesis test about preferences B) A hypothesis test about the median of paired differences for two dependent populations C) A hypothesis test about the means of three or more populations D) A hypothesis test about a single median Answer: C Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 003

450

4) In the following case, n is the sample size, p is the proportion of the population possessing a certain characteristic, and X is the number of items in the sample that possess that characteristic.

Perform the appropriate sign test using α = 0.05. n = 18, X = 4, H0 : p = 0.50, H1 : p < 0.50 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 004 5) In the following case, n is the sample size, p is the proportion of the population possessing a certain characteristic, and X is the number of items in the sample that possess that characteristic.

Perform the appropriate sign test using α = 0.1. n = 27, X = 15, H0 : p = 0.50, H1 : p < 0.50 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: do not reject Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 005 6) In the following case, n is the sample size and X is the appropriate number of plus or minus signs. Perform the appropriate sign test using α = 0.05. n = 28, X = 5, H0 : Median = 83, H1 : Median < 83 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 006 7) In the following case, n is the sample size and X is the appropriate number of plus or minus signs. Perform the appropriate sign test using α = 0.05. n = 16, X = 10, H0 : Median = 107, H1 : Median > 107 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 007

451

8) In the following case, M is the median of the paired differences for two populations, n is the sample size, and X is the number of plus or minus signs. Perform the appropriate sign test using α = 0.025. n = 11, X = 3, H0 : M = 0, H1 : M > 0 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 008 9) In the following case, M is the median of the paired differences for two populations, n is the sample size, and X is the number of plus or minus signs. Perform the appropriate sign test using α = 0.025. n = 23, X = 9, H0 : M = 0, H1 : M < 0 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 2 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 009 10) A past study claims that teenagers in the United States order a median of 7 pizzas a month. A researcher took a sample of 10 teenagers and asked them how many pizzas they ordered in the previous month. The researcher obtained the following data: 1 8 4 6 2 7 10 5 2 5 Using α = 0.025, can the researcher conclude that the median number of pizzas ordered per month by all teenagers in the United States is less than 7 pizzas? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 3 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 010

452

11) At a local college, students are given the option on the format of the textbook. Some students prefer a paper textbook (P), some prefer an eBook (E), and some have no preference (N). A random sample of 30 students is taken. Their preferences are shown here: P P E N E E P E P P P E E E E N P P E P E E N P P P N E E E At a 5% significance level, can you conclude that the students at this local college prefer either type of textbook over the other?

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 3 LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test Question Title: Chapter 15, Testbank Question 011 15.2

The Wilcoxon Signed-Rank Test for Two Dependent Samples

1) The Wilcoxon signed-rank test cannot be used for which type of test?

A) A hypothesis test to test whether or not two populations from which these samples are drawn are identical B) A hypothesis test to test whether or not the means of three or more populations are equal C) A hypothesis test to test whether or not one population distribution lies to the left or to the right of the other D) A hypothesis test to test whether or not the medians of two population distributions are equal Answer: B Diff: 2 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 012 2) The normal distribution is used for the Wilcoxon signed-rank test when the sample size is larger than what value?

Answer: 15 Diff: 1 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 013

453

3) What test statistic is used for the Wilcoxon signed-rank test when the sample size is 15 or smaller?

Answer: T Diff: 1 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 014 4) In a small sample Wilcoxon signed-rank test, the decision rule is to reject the null hypothesis if the observed value of T is less than or equal to the critical value of T for which type of test?

A) left-tailed B) two-tailed C) right-tailed D) left-tailed, two-tailed, or right-tailed Answer: D Diff: 2 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 015 5) Find the rejection region for the Wilcoxon signed-rank test given: n1 = 13, H0 : MA = MB, H1 : MA < MB, α = 0.05 A) Reject the null hypothesis if the observed value of T ≤ 17.

B) Reject the null hypothesis if the observed value of T > 17.

C) Reject the null hypothesis if the observed value of T ≤ 14.

D) Reject the null hypothesis if the observed value of T > 14.

Answer: A Diff: 2 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 016

454

6) Find the rejection region for the Wilcoxon signed-rank test given: n1 = 25, H0 : MA = MB, H1 : MA ≠ MB, α = 0.01 A) Reject the null hypothesis if either the observed value of z ≤ -2.57 or the observed value of z ≥ 2.57.

B) Reject the null hypothesis if either the observed value of z ≤ -2.33 or the observed value of z ≥ 2.33.

C) Reject the null hypothesis if the observed value of z ≥ -2.57 and the observed value of z ≤ 2.57.

D) Reject the null hypothesis if the observed value of z ≥ -2.33 and the observed value of z ≤ 2.33.

Answer: A Diff: 2 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 017 7) The following table shows the ISEE practice test scores of eight students before and after they attended a course designed to review for the ISEE test.

Before After

784 788

815 795

777 782

882 882

896 894

835 849

817 793

872 849

Using the Wilcoxon signed-rank test at a 5% level of significance, can you conclude that attending this course increases the median ISEE test score of students? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 3 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 018

455

8) The following table shows the pulse rate readings of 20 adults before and after a six-month exercise program.

Before 104 74 83 107 106 103 75 72 97 99 72 80 74 78 76 81 74 80 80 89

After 100 67 73 107 98 93 72 71 95 104 72 72 66 77 72 79 77 78 83 84

Using the Wilcoxon signed-rank test at a 5% level of significance, can you conclude that participating in the exercise program decreases the median pulse rate in adults? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 3 LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples Question Title: Chapter 15, Testbank Question 019

456

15.3

The Wilcoxon Rank Sum Test for Two Independent Samples

1) The Wilcoxon signed rank test is applied to two ________ populations and the Wilcoxon rank sum test is applied to two ________ populations.

A) dependent, dependent B) dependent, independent C) independent, independent D) independent, dependent Answer: B Diff: 1 LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples Question Title: Chapter 15, Testbank Question 020 2) In a Wilcoxon rank sum test, it is assumed that the two populations are identical in shape, but differ only in location. The difference in location is measured by the: A) median B) mean C) range D) standard deviation Answer: A Diff: 1 LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples Question Title: Chapter 15, Testbank Question 021 3) Find the rejection region for the Wilcoxon rank sum test given: n1 = 8, n2 = 9, two-tailed test using α = 0.05 A) Reject the null hypothesis if either the observed value of T ≤ 51 or the observed value of T ≥ 93.

B) Reject the null hypothesis if the observed value of T ≥ 51 and the observed value of T ≤ 93.

C) Reject the null hypothesis if the observed value of T ≤ 51.

D) Reject the null hypothesis if the observed value of T ≥ 93.

Answer: A Diff: 2 LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples Question Title: Chapter 15, Testbank Question 022

457

4) Find the rejection region for the Wilcoxon rank sum test given: n1 = 19, n2 = 17, right-tailed test using α = 0.05 A) Reject the null hypothesis if the observed value of z ≥ 1.645.

B) Reject the null hypothesis if the observed value of z ≤ -1.645.

C) Reject the null hypothesis if the observed value of z ≥ 1.96.

D) Reject the null hypothesis if the observed value of z ≤ -1.96.

Answer: A Diff: 2 LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples Question Title: Chapter 15, Testbank Question 023 5) A researcher compares the number of minutes rats will run on a wheel. Eight rats are randomly divided into two groups of four rats each. The rats in the experimental group were given food before running on the wheel. The rats in the control group were not. The following table shows the number of minutes for each group.

Control Experimental

2 2

4 2

4 3

4 2

Using the Wilcoxon rank sum test at a 5% level of significance, can you conclude that food increases the number of minutes a rat will run on a wheel? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 3 LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples Question Title: Chapter 15, Testbank Question 024

458

6) A researcher compares the body temperatures (F) of individuals upon entering a building, based on location of the car. The individuals were divided into two groups based on which lot they parked in. Lot A is close to the entrance of the building and Lot B is across the street from the building. The following table shows the number of minutes for each group.

Lot A Lot B

96.3 99.3

96.1 97.2

98.4 99.0

98.4 97.8

96.6 96.3 98.8 98.6 95.9 96.2 97.7 95.5 99.3 97.1 98.2 99.4 97.3 97.3

Using the Wilcoxon rank sum test at a 2.5% level of significance, can the researcher conclude that parking farther away increases the body temperature? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: reject Diff: 3 LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples Question Title: Chapter 15, Testbank Question 025 15.4

The Kruskal-Wallis Test

1) The ________ test statistic is used for the Kruskal-Wallis test, and the ________ distribution is used to perform the Kruskal-Wallis test.

A) H, t-distribution B) χ2, chi-square C) H, chi-square D) H, H-distribution Answer: C Diff: 2 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 026 2) The Kruskal-Wallis test replaces the ________ when it is not assumed that the populations from which the samples were drawn were all normally distributed with equal variance, σ2.

A) Bayesian test B) two-tailed test C) one-tailed test D) ANOVA test Answer: D Diff: 1 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 027

459

3) Which of the following is not a possible alternative hypothesis for a Kruskal-Wallis test?

A) At least two of the population distributions differ.

B) All of the population distributions are different.

C) Not all of the population distributions are identical.

D) The medians of all populations are not equal.

Answer: B Diff: 2 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 028 4) Which of the following is not true about the value of H? A) H has a smaller value as the difference between the means of ranks for different samples increases.

B) H is a measure of the variance of ranks for different samples.

C) H has a value of zero if all k samples have exactly the same mean of ranks.

D) H is a measure of the variance of the means of the ranks for different samples.

Answer: A Diff: 2 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 029 5) In the following case, ni is the size of the ith sample and Ri is the sum of the ranks for the ith sample. Perform the Kruskal-Wallis test using α = 0.01. n1 = 9, n2 = 6, n3 = 7, R1 = 82, R2 = 71, R3 = 100 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 2 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 030 6) In the following case, ni is the size of the ith sample and Ri is the sum of the ranks for the ith sample. Perform the Kruskal-Wallis test using α = 0.01. n1 = n2 = n3 = n4 = 7, R1 = 114, R2 = 96, R3 = 120, R4 = 91 (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 2 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 031

460

7) The following table gives the ranked data for three samples. Perform the Kruskal-Wallis test using the 2.5% level of significance. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Sample I 2.5 4 5 10 12 13 21.5 23

Sample II 6 11 14.5 17 18 20 21.5

Sample III 1 2.5 7.5 7.5 9 14.5 16 19

Answer: fail to reject Diff: 2 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 032 8) A restaurant owner wishes to add a new entrée to the menu, so three different entrées are presented as the Monthly Special. The following table shows the number of times each entrée was ordered each week for four weeks. Test the hypothesis that there is no difference between these entrées at the 5% level of significance. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Entrée I 10 16 20 11

Entrée II 18 19 12 15

Entrée III 18 25 17 23

Answer: fail to reject Diff: 3 LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test Question Title: Chapter 15, Testbank Question 033

461

15.5

The Spearman Rho Rank Correlation Coefficient Test

1) The Spearman rho rank correlation coefficient helps us decide what type of relationship exists between ________ populations of x and y variables and the linear correlation coefficient helps us decide what type of relationship exists between ________ populations of x and y variables.

A) normal, unknown B) unknown, normal C) chi-square, unknown D) unknown, chi-square Answer: B Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 034 2) Instead of comparing the data, the Spearman rho rank coefficient compares the ________ of the data on variables x and y.

A) ranges B) medians C) ranks D) means Answer: C Diff: 1 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 035 3) A set of paired data on two variables, x and y, have been ranked. The ranks for x and y are denoted by u and v, respectively, and are shown in the table. Calculate the Spearman rho rank correlation coefficient for the data set to three decimal places. u v

6 4

5 7

3 6

7 3

4 5

2 2

1 1

Answer: 0.393 Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 036

462

4) Calculate the Spearman rho rank correlation coefficient for the following data set to three decimal places. x y

95 18

67 29

98 39

99 15

101 29

86 22

Answer: -0.057 Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 037 5) Find the rejection region for the Spearman rho rank correlation test given: n = 10, rs = 0.576, H0 : ρs = 0, H0 : ρs < 0, α = 0.01 A) Reject the null hypothesis if the observed value of rs ≤ 0.745.

B) Reject the null hypothesis if the observed value of rs > 0.745.

C) Reject the null hypothesis if the observed value of rs ≤ 0.576.

D) Reject the null hypothesis if the observed value of rs > 0.576.

Answer: A Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 038 6) Find the rejection region for the Spearman rho rank correlation test given: n = 15, rs = 0.612, H0 : ρs = 0, H0 : ρs ≠ 0, α = 0.05 A) Reject the null hypothesis if the observed value of rs ≤ -0.525 or rs ≥ 0.525.

B) Reject the null hypothesis if the observed value of rs ≤ -0.525.

C) Reject the null hypothesis if the observed value of rs ≤ -0.441.

D) Reject the null hypothesis if the observed value of rs ≥ 0.441.

Answer: A Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 039

463

7) Perform the indicated hypothesis test. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.) n = 16, rs = 0.621, H0 : ρs = 0, H0 : ρs ≠ 0, α = 0.01 Answer: fail to reject Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 040 8) The following data are a random sample of heights (in inches) and weights (in pounds) of 9 students in a Kindergarten class.

Height Weight

44 46

46 46

42 45

39 38

41 50

40 41

44 51

45 48

46 45

Based on the reasonable assumption that as height increases, weight tends to increase, do you expect the value of rs to be positive or negative?

Answer: positive Diff: 1 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 041 9) The following data are a random sample of heights (in inches) and weights (in pounds) of 9 students in a Kindergarten class.

Height Weight

40 44

43 46

39 41

42 46

44 44

43 46

45 47

39 37

43 47

Compute the value of rs. Round to three decimal places.

Answer: 0.725 Diff: 2 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 042

464

10) The following data are a random sample of heights (in inches) and weights (in pounds) of 9 students in a Kindergarten class.

Height Weight

44 48

45 42

46 45

42 41

43 41

42 42

45 43

39 38

41 44

At a 5% significance level, test if there is a positive relationship between height and weight for Kindergarten students? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 3 LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test Question Title: Chapter 15, Testbank Question 043 15.6

The Runs Test for Randomness

1) A sequence of the same symbol appearing one or more times is called a: A) run B) series C) pattern D) rank Answer: A Diff: 1 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 044 2) The distribution of R (the number of runs in a sample) is approximately normal when: A) n1 > 25 or n2 > 25 B) n1 > 25 and n2 > 25 C) n1 > 15 or n2 > 15 D) n1 > 15 and n2 > 15 Answer: C Diff: 1 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 045 3) For the following sequence of observations, determine the value of R. RQRRRRRQRQRQQQRQR Answer: 11 Diff: 2 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 046 4) Find the rejection region for the runs test for randomness given: 465

n1 = 5, n2 = 9, R = 6, α = 0.1 A) Reject the null hypothesis if the observed value of R ≤ 4 or R ≥ 10.

B) Reject the null hypothesis if the observed value of R ≥ 4 and R ≤ 10.

C) Reject the null hypothesis if the observed value of R ≤ 5.

D) Reject the null hypothesis if the observed value of R ≥ 9.

Answer: A Diff: 2 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 047 5) Find the rejection region for the runs test for randomness given: n1 = 27, n2 = 28, R = 25, α = 0.05 A) Reject the null hypothesis if the observed value of z ≤ -1.96 or z ≥ 1.96.

B) Reject the null hypothesis if the observed value of z ≥ -1.96 and z ≤ 1.96.

C) Reject the null hypothesis if the observed value of z ≤ -1.645 or z ≥ 1.645.

D) Reject the null hypothesis if the observed value of z ≥ -1.645 and z ≤ 1.645.

Answer: A Diff: 2 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 048 6) In 20 tosses of a fair coin, the following sequence of heads (H) and tails (T) is obtained: T H

H H

T T

H H

H H

T H

H H

T H

T T

T T

Determine the values of n1, n2, and R, where n1 is the number of heads and n2 is the number of tails.

A) n1 = 11, n2 = 9, R = 11 B) n1 = 9, n2 = 11, R = 11 C) n1 = 11, n2 = 9, R = 20 D) n1 = 9, n2 = 11, R = 20 Answer: A Diff: 2 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 049

466

7) In 20 tosses of a fair coin, the following sequence of heads (H) and tails (T) is obtained: H H

T T

T H

H H

H T

H H

T T

H T

T T

H T

At a 5% significance level, test the null hypothesis that the coin tosses are randomly distributed against the alternative hypothesis that they are not randomly distributed. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Answer: fail to reject Diff: 3 LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness Question Title: Chapter 15, Testbank Question 050

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