Introductory Statistics for Engineering Final Exam
Course Introduction
This course introduces fundamental concepts of statistics tailored for engineering applications, focusing on data collection, organization, analysis, and interpretation. Students will explore topics such as descriptive statistics, probability distributions, sampling methods, statistical inference, hypothesis testing, and regression analysis. Emphasis is placed on practical problem-solving using real-world engineering data, enabling students to make informed decisions and analyze variability inherent in engineering systems. Through lectures, discussions, and hands-on exercises, students will gain a solid foundation in statistical reasoning and learn to apply statistical tools effectively in various engineering disciplines.
Recommended Textbook
Stats Data and Models 1st Canadian Edition by Richard D. De Veaux
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Chapter 1: Data
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Q1) A monthly electric bill in dollars
A)Categorical
B)Quantitative Answer: B
Q2) The number of people on a jury
A)Quantitative
B)Categorical Answer: A
Q3) The outcome of tossing a coin
A)Categorical
B)Quantitative Answer: A
Q4) The waiting time at a bus stop in minutes
A)Categorical
B)Quantitative Answer: B
Q5) A person's political affiliation
A)Categorical
B)Quantitative
Answer: A
Page 3
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Chapter 2: Displaying and Describing Categorical Data
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Q1) Of the 1,606 applicants to a college program,456 were Black or Hispanic,300 were Asian,and 850 were White.Summarize the relative frequency distribution of ethnicity with a sentence or two in the proper context.
A)Of the 1,606 students who applied for admission to the college program,3% were Black or Hispanic,2% were Asian,and 5% were White.
B)Of the 1,606 students who applied for admission to the college program,54% were Black or Hispanic,35% were Asian,and 53% were White.
C)Of the 1,606 students who applied for admission to the college program,14% were Black,14% were Hispanic,19% were Asian,and 53% were White.
D)Of the 1,606 students accepted in the college program,28% were Black or Hispanic,19% were Asian,and 53% were White.
E)Of the 1,606 students who applied for admission to the college program,28% were Black or Hispanic,19% were Asian,and 53% were White.
Answer: E
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Chapter 3: Displaying and Summarizing Quantitative Data
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Q1) How would you describe the shape of each distribution?
A)Class 1: left-skewed,spread out ranging from about 40 to 90
Class 2: left-skewed,spread out ranging from about 40 to 90
Class 3: symmetric,spread out ranging from about 40 to 90
B)Class 1: fairly symmetric,spread out ranging from about 40 to 90
Class 2: right-skewed,spread out ranging from about 40 to 90
Class 3: symmetric,spread out ranging from about 40 to 90
C)Class 1: fairly symmetric,spread out ranging from about 40 to 90
Class 2: left-skewed,spread out ranging from about 40 to 90
Class 3: symmetric,spread out ranging from about 40 to 90
D)Class 1: left-skewed,spread out ranging from about 40 to 90
Class 2: right-skewed,spread out ranging from about 40 to 90
Class 3: symmetric,spread out ranging from about 40 to 90
E)Class 1: fairly symmetric,spread out ranging from about 40 to 90
Class 2: left-skewed,spread out ranging from about 40 to 90
Class 3: asymmetric,spread out ranging from about 40 to 90
Answer: C
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Chapter 4: Understanding and Comparing Distributions
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Sample Questions
Q1) A small company employs a supervisor at $1,300 a week,an inventory manager at $900 a week,5 stock boys at $400 a week,and 3 drivers at $500 a week.
A)1,300,400,450,500,400 dollars
B)400,400,450,500,1,300 dollars
C)400,400,900,500,1,300 dollars
D)2,000,400,450,1,500,1,300 dollars
E)400,400,450,900,1,300 dollars
Q2) For which class are the mean and median most different?
A)Class 2,because the shape is symmetric.
B)Class 2,because the shape is skewed to the right.
C)Class 1,because the shape is skewed to the left.
D)Class 3,because the shape is symmetric.
E)Class 2,because the shape is skewed to the left.
Q3) Which class had the smallest standard deviation?
A)Class 3,because the shape is symmetric and unimodal.
B)Class 1,because the shape is fairly symmetric and uniform.
C)Class 3,because the shape has the highest number of students.
D)Class 2,because the shape is skewed.
E)None,because the classes had the same standard deviation.
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Page 6
Chapter 5: The Standard Deviation As a Ruler and the Normal Model
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Q1) = 60.0,4.01% below 53; = ?
A)4.0
B)3.87
C)1.58
D)2.0
E)8.0
Q2) After increased patrol,33% of vehicles on a road travel below 45 km/h with a standard deviation of 5.1 km/h.Assuming a Normal model is appropriate,find the mean speed.
A)1.68 km/h
B)47.24 km/h
C)-42.76 km/h
D)50.1 km/h
E)14..85 km/h
Q3) -0.73 < z < 2.27
A)76.47%
B)154.00%
C)48.84%
D)75.57%
E)22.11%
7
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Chapter 6: Scatterplots, association, and Correlation
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Q1) Oranges: weight (grams),oranges: weight (milligrams)
A)Oranges: weight (grams): both
Oranges: weight (milligrams): both
B)Oranges: weight (grams): explanatory
Oranges: weight (milligrams): response
C)Oranges: weight (grams): explanatory
Oranges: weight (milligrams): both
D)Oranges: weight (grams): response
Oranges: weight (milligrams): explanatory
E)Oranges: weight (grams): both
Oranges: weight (milligrams): explanatory
Q2) A study is conducted on insects growth based on hydrometry.The correlation found between insects growth and hydrometry is 0.05.A journalist concludes that a low correlation between insects growth and hydrometry shows that insects can reproduce easily in a dry climate.Do you agree with this interpretation?
A)No: the correlation must be negative.
B)Yes: the correlation is close to 0.
C)Yes: the two variables are quantitative.
D)No: the relation must be linear.
E)Yes: the relation is linear.
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Chapter 7: Linear Regression
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Q1) A random sample of records of electricity usage of homes gives the amount of electricity used in July and size (in square feet)of 135 homes.A regression was done to predict the amount of electricity used (in kilowatt-hours)from size.The residuals plot indicated that a linear model is appropriate.Do you think the slope is positive or negative? Why?
A)Negative.Larger homes should use less electricity.
B)Positive.The larger the number of houses the more electricity used.
C)Negative.Smaller homes should use less electricity.
D)Positive.More square feet indicates more houses.
E)Positive.Larger homes should use more electricity.
Q2) A random sample of 150 yachts sold in the Canada last year was taken.A regression analysis to predict the price (in thousands of dollars)from length (in metres)was completed.A linear model is appropriate.What are the units of the slope?
A)Slope is yachts per dollar.
B)Slope is metres per dollar.
C)Slope is dollars per metre.
D)Slope is metres per thousand dollars.
E)Slope is thousands of dollars per metre.
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Chapter 8: Regression Wisdom
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Q1) An economist noticed that nations with more TV sets have higher life expectancy.He established a strong positive association between length of life and number of TV sets.Describe three different possible cause-and-effect relationships that might be present.
A)Perhaps more TV sets cause higher life expectancy,higher life expectancy cause more TV sets,or both could be caused by a lurking variable such as the wealth of the nation.
B)There is only one cause-and-effect relationship: more TV sets cause higher life expectancy.
C)Perhaps more TV sets cause higher life expectancy,higher life expectancy cause more TV sets,or both could be caused by a lurking variable such as the TV sets brand.
D)There is only one cause-and-effect relationship: higher life expectancy cause more TV sets.
E)There are only two cause-and-effect relationships: more TV sets cause higher life expectancy,or higher life expectancy cause more TV sets.
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Chapter
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Q1) The relationship between two quantities x and y is examined.The relationship appears to be fairly linear.A linear model is considered,and the regression analysis is as follows:
Dependent variable: y
R-squared = 87.9%
VARIABLE COEFFICIENT
Intercept 37.74
X -9.97
What does the slope say about the relationship between x and y?
A)For each increase in x of 1,the corresponding average decrease in y is 9.97.
B)For each increase in x of 1,the corresponding average increase in y is 37.74.
C)For each increase in x of 1,the corresponding average decrease in y is 37.74.
D)For each increase in x of 1,the corresponding average increase in y is 9.97.
E)For each increase in x of 1,y decreases by and average of 87.9%.
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Chapter 10: Understanding Randomness
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Q1) Suppose that there are two candidates for the president of your school's student government,Candidate A and Candidate B.We believe that Candidate A has about a 52% of the votes of the student body.However,you're worried that only 1000 students will show up to vote.How often will Candidate A lose in this situation? To find out,you set up a simulation.Describe how you will simulate a trial.
A)A trial is 100 votes.Examine 1,000 2-digit random numbers and count how many people voted for Candidate B.That number wins that trial.
B)A trial is 1,000 votes.Examine 1,000 3-digit random numbers and count how many people voted for each candidate.Whoever gets the majority of votes wins that trial.
C)A trial is 100 votes.Examine 100 2-digit random numbers and count how many people voted for each candidate.Whoever gets the majority of votes wins that trial.
D)A trial is 10 votes.Examine 10 1-digit random numbers and count how many people voted for each player.Whoever gets the majority of votes wins that trial.
E)A trial is 1,000 votes.Examine 1,000 3-digit random numbers and only count how many people voted for Candidate A.That number wins that trial.
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Chapter 11: Sample Surveys
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Sample Questions
Q1) At the local university a survey was being done on whether or not the students liked the cafeteria food.The survey was located in the college newspaper and was to be filled out and sent to the editing office.Identify the type of sampling used in this example.
A)Attempted census
B)Systematic sampling
C)Stratified sampling
D)Cluster sampling
E)Voluntary response sampling
Q2) A magazine publisher mailed a survey to all of its subscribers asking if the magazine is helpful in their daily lives.Every subscriber responded and 65% replied that the magazine was helpful.The value 65% is known as what?
A)The sampling method
B)The population parameter of interest
C)The bias
D)The population
E)The sampling frame
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13
Chapter 12: Experiments and Observational Surveys
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Q1) A researcher wants to investigate whether different forms of exercise can be used to help hyperactive children.A group of 90 children is divided into two groups according to age - those aged 9-12 and those aged 5-9.Within each age group the children are randomly assigned to one of three groups.The first group will just do their normal exercise.The second group will be given an additional exercise routine (moderate).The third group will be given an additional exercise routine (strenuous).At the end of a four month period parents will be asked to evaluate their children's progress.Identify the factor(s)and any blocking variables and the number of levels for each.
A)Factor: exercise (3 levels),Blocking variable: age (2 levels)
B)Blocking variable: exercise (3 levels),Factor: age (2 levels)
C)Factor: exercise (3 levels),Factor: age (2 levels)
D)Normal exercise and age 5-9,additional exercise (moderate)and age 5-9,additional exercise (strenuous)and age 5-9,normal exercise and age 9-12,additional exercise (moderate)and age 9-12,additional exercise (strenuous)and age 9-12 (6 levels)
E)Factor: Normal exercise,additional exercise (moderate),additional exercise (strenuous)(3 levels)
Q2) Explain the difference between an observational study and an experiment.
Q3) In an experiment,explain the difference between the treatments and the factors.
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14
Chapter 13: From Randomness to Probability
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Q1) Of the coffee makers sold in an appliance store,6.0% have either a faulty switch or a defective cord,2.4% have a faulty switch,and 0.3% have both defects.What percent of the coffee makers will have a defective cord?
A)97.6%
B)6.0%
C)3.9%
D)6.3%
E)2.7%
Q2) Roll two dice;record the smaller number.
A){1,2,3,4,5,6},not equally likely
B){1,2,3,4,5},equally likely
C){0,1,2,3,4,5},equally likely
D){1,2,3,4,5,6},equally likely
E){1,2,3,4,5},not equally likely
Q3) A family has two children;record the genders in order of birth.
A){BB,BG,GG},equally likely
B){BB,BG,GB,GG},equally likely
C){BB,BG,GG},not equally likely
D){BB,BG,GB,GG},not equally likely
E){B,G},equally likely
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Chapter 14: Probability Rules
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Q1) A consumer organization estimates that 32% of the households in a particular community have one television set,38% have two sets,and 16% have three or more sets.If two households are chosen at random,what is the probability that at least one has one ore more television sets?
A)0.241
B)0.986
C)0.740
D)0.020
E)0.860
Q2) You roll a fair die six times.What is the probability that you roll all 5's?
A)1
B)0.00002
C)1.2
D)0.167
E)0.833
Q3) In rolling a fair die once,the events of getting a 3 and getting a 6
A)Disjoint
B)Independent
C)Neither
D)Both
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Chapter 15: Random Variables
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Q1) Your school's soccer team plays two games against another soccer team .The probability that your team wins the first game is 0.4.If your team wins the first game,the probability that they also win the second game is 0.5.If your team loses the first game,the probability that they win the second game is 0.2.Let the random variable X be the number of games won by your team.Find the standard deviation of X.
A) = 0.63
B) = 0.90
C) = 0.70
D) = 0.60
E) = 0.78
Q2) A slot machine at a casino pays out an average of $0.93,with a standard deviation of $120.It costs a dollar to play.If a person plays 10 times,what are the mean and standard deviation of the casino's profit?
A) = $9.30, = $379.47
B) = $0.70, = $12,000
C) = $9.30, = $1,200
D) = $0.70, = $1,200
E) = $0.70, = $379.47
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Chapter 16: Probability Models
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Q1) Suppose a computer chip manufacturer rejects 4% of the chips produced because they fail presale testing.How many chips should they expect to test before finding a bad one?
A)1.04
B)4
C)25
D)0.04
E)0.96
Q2) In one city,the probability that a person will pass his or her driving test on the first attempt is 0.68.11 people are selected at random from among those taking their driving test for the first time.What is the probability that among these 11 people,the number passing the test is between 2 and 4 inclusive?
A)0.0057
B)0.0345
C)0.0299
D)0.0251
E)0.0308
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Chapter 17: Sampling Distribution Models
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Q1) When a truckload of oranges arrives at a packing plant,a random sample of 125 is selected and examined.The whole truckload will be rejected if more than 8% of the sample is unsatisfactory.Suppose that in fact 11% of the oranges on the truck do not meet the desired standard.What's the probability that the shipment will be accepted anyway?
A)0.0827
B)0.2846
C)0.9173
D)0.1423
E)0.8577
Q2) Researchers believe that 6% of children have a gene that may be linked to a certain childhood disease.In an effort to track 50 of these children,researchers test 950 newborns for the presence of this gene.What is the probability that they find enough subjects for their study?
A)0.7912
B)0.1685
C)0.8315
D)0.8507
E)0.337
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Chapter 18: Confidence Intervals for Proportions
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Q1) Of 346 items tested,12 are found to be defective.Construct a 98% confidence interval for the percentage of all such items that are defective.
A)(1.18%,5.76%)
B)(0.93%,6.00%)
C)(3.34%,3.59%)
D)(1.85%,5.09%)
E)(0.13%,6.80%)
Q2) A study involves 673 randomly selected deaths,with 34 of them caused by accidents.Construct a 98% confidence interval for the percentage of all deaths that are caused by accidents.
A)(3.40%,6.71%)
B)(3.66%,6.45%)
C)(3.8%,6.4%)
D)(2.87%,7.23%)
E)(3.09%,7.02%)
Q3) A mayoral election race is tightly contested.In a random sample of 1,100 likely voters,572 said that they were planning to vote for the current mayor.Based on this sample,would you claim with 95% confidence that the mayor will win a majority of the votes? Explain.
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Chapter 19: Testing Hypotheses About Proportions
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Q1) During the 2004 season,home teams in the same conference won 189 out of 302 regular season college basketball games.Test the home team advantage hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.
Q2) The seller of a loaded die claims that it will favor the outcome 6.We don't believe that claim,and roll the die 350 times to test an appropriate hypothesis.Our P-value turns out to be 0.01.Provide an appropriate conclusion.
Q3) After a political ad campaign for a city's mayor,pollsters check the disapproval ratings.They test the hypothesis that the ads produced no change against the alternative that the ratings are now below 19%,and find a P-value of 0.17.Provide an appropriate conclusion.
Q4) A weight loss program provided a loss for 60% of its participants.The program leader decides to test a new weight loss strategy to see if it's better and gets a P-value of 0.21.Is it reasonable to conclude that the new strategy and the old one are equally effective?
Q5) A survey investigation whether the proportion of employees who commute by car to work is higher than it was five years ago finds a P-value of 0.009.Is it reasonable to conclude that more employees are commuting by car?
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Chapter 20: More About Tests
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Q1) According to the 2004 Canadian Community Health Survey,23.1% of Canadians aged 18 or older were considered obese;that is,they had a body mass index (BMI)of 30 more higher.Suppose you believe that the percentage of obese Canadians has decreased since 2004 and wish to test your belief.A current survey of 1000 random Canadians found that 219 were obese.State the critical value required to perform an appropriate hypothesis test using = 0.05.
A)-1.645
B)-1.96
C)1.96
D)1.282
E)1.645
Q2) Five years ago,a company found that 8% of its employees commuted to work by car.A survey investigates whether the current proportion of employees who commute by car to work is higher than it was five years ago.A test on employee commuting by car was done on a random sample of 1000 employees,and found car commuting to be 12%.Test an appropriate hypothesis using = 0.05 and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.
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Chapter 21: Comparing Two Proportions
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Q1) You wish to construct a 95% confidence interval to compare two proportions.If we wish to obtain a margin of error of at most 0.03,what sample size should we take from each group? Assume equal sample sizes.
A)1067
B)2134
C)2135
D)1068
E)1984
Q2) In Canada,a person with a body mass index (BMI)of 30 more is considered to be "obese." A random sample of 100 Canadian men revealed 26 to be obese.A random sample of 100 Canadian women revealed 21 to be obese.Construct a 90% confidence interval for the difference in the proportions of obese Canadian men and women.
A)(0.0424,0.1457)
B)(-0.0485,0.1485)
C)(-0.0541,0.1508)
D)(-0.0706,0.1673)
E)(-0.0639,0.1606)
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Chapter 22: Inferences About Means
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Q1) The principal of a high school randomly selected 30 students to take a math test.Of the 30 students who wrote the test,18 scored more than 75% and 12 scored below 75%.Perform a sign test to determine if the median score is greater than 50% using a 5% level of significance.
Q2) A sociologist develops a test to measure attitudes about public transportation,and 27 randomly selected subjects are given the test.Their mean score is 76.2 and their standard deviation is 21.4.Construct the 95% confidence interval for the mean score of all such subjects.
A)(64.2,83.2)
B)(67.7,84.7)
C)(64.2,88.2)
D)(74.6,77.8)
E)(69.2,83.2)
Q3) 80% confidence interval with df = 11
A)1.280
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Chapter 23: Comparing Means
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Q1) You wish to construct a 95% confidence interval to compare the mean measurement for two groups.A small pilot study yields sample standard deviations of 20 and 30 for Group 1 and Group 2,respectively.If we wish to obtain a margin of error of at most 10,what sample size should we take from each group? Assume equal sample sizes.
A)49
B)47
C)50
D)48
E)51
Q2) A researcher is interested in the academic performance differences between individuals using an optimistic versus a pessimistic approach to their studies.If the researcher fails to find a significant difference,when in fact one exists in the population:
A)the research hypothesis was correctly accepted.
B)a Type I error has been made.
C)the null hypothesis was correctly rejected.
D)the null hypothesis was correctly accepted.
E)a Type II error has been made.
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Chapter 24: Paired Samples and Blocks
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Q1) Suppose that you wish to perform a traditional hypothesis test to test a claim regarding two means.Give an example of a situation in which the matched pairs test would be appropriate and give an example of a situation in which it would be appropriate to perform a two-sample t-test.
Q2) A manufacturer has designed athletic footwear which it hopes will improve the performance of athletes running the 100-metre sprint.It wishes to perform a hypothesis test to compare the times of athletes at the 100 metres with these shoes and with their usual shoes.
A)Two-sample t-test,since the experiment has two samples.
B)Not enough information is given.
C)Either two-sample or paired t-test would be equally accurate.
D)Pooled t-test,since the standard deviations of the two populations are likely to be the same.
E)Paired t-test,since a natural pairing exists,and would detect differences between the population means better.
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Chapter 25: Comparing Counts
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Q1) What is the null hypothesis for the chi-square test of independence? What assumptions are required for this test?
Q2) Test the claim that workplace accidents are distributed on workdays as follows: Monday 25%,Tuesday: 15%,Wednesday: 15%,Thursday: 15%,and Friday: 30%.
In a study of 100 workplace accidents,24 occurred on a Monday,15 occurred on a Tuesday,17 occurred on a Wednesday,18 occurred on a Thursday,and 26 occurred on a Friday.Use a 10% level of significance.
Q3) Describe a goodness-of-fit test.What assumptions are made when using a goodness-of-fit test?
Q4) Among the eastern provinces in 2010,states,Nova Scotia has 40% of the total population,New Brunswick has 33%,Newfoundland has 21%,and Prince Edward Island has 6%.A market researcher selects a sample of 1000 subjects in 2011,with 450 in Nova Scotia,340 in New Brunswich,150 in Newfoundland,and 60 in Prince Edward Island.Does the distribution of the sample agree with the population distribution? Use a 1% level of significance.
Q5) When performing a chi-square goodness-of-fit test,how are the expected frequencies obtained?
Q6) Explain why a chi-square goodness-of-fit test is always right-tailed.
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Chapter 26: Inferences for Regression
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Q1) In a study of the relationship between weight and height,a sample regression equation is obtained,in which height is used as the predictor variable.This sample regression equation is then used to make inferences.Which of the following statements is true?
A)A 95% confidence interval for the mean weight of all subjects of height 165 cm will be the same width as a 95% prediction interval for the weight of an individual of height 165 cm.
B)A 95% confidence interval for the mean weight of all subjects of height 165 cm will be narrower than a 95% prediction interval for the weight of an individual of height 165 cm.
C)A 95% confidence interval for the mean weight of all subjects of height 165 cm will be wider than a 95% prediction interval for the weight of an individual of height 165 cm.
Q2) In the context of regression analysis,the sum of the residuals is always zero.
A)True
B)False
Q3) In the context of regression analysis,explain what is meant by the term "residual".
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Chapter 27: Analysis of Variance
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Sample Questions
Q1) A consumer interest group is interested in comparing the speed of four different desktop printers;four different documents are used for the experiment.Each test consists of randomly assigning one printer to one of the documents.The document is printed and the time to print in seconds is recorded.Each printer/document combination is tested.The F-value from an ANOVA is 6.173.What is the P-value?
A)p = 0.0998
B)p = 0.0088
C)p = 0.0901
D)p = 0.9093
E)p = 0.0012
Q2) A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass.Six sections of grass are randomly assigned to each of the four fertilizer types,and the rate of growth for each section is measured.The F-value from an ANOVA is 10.866.What is the P-value?
A)p = 0.0002
B)p = 0.010
C)p = 0.001
D)p = 0.0001
E)p = 0.0011
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Chapter 28: Multifactor Analysis of Variance
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Sample Questions
Q1) A student runs an experiment to test how race car drivers and different tracks affect time.He uses 3 different drivers on 4 different tracks.He randomizes the trials,performing 4 runs under each treatment condition,carefully recording how many laps each driver completes on each different track.
Q2) A student runs an experiment to study the effect that a teacher has based on the size of their class.She uses 3 different teachers on 6 different class sizes.
A)Teacher SS: 3 df;Class size SS: 5 df;SSE: 10 df
B)Teacher SS: 2 df;Class size SS: 5 df;SSE: 11 df
C)Teacher SS: 2 df;Class size SS: 8 df;SSE: 11 df
D)Teacher SS: 2 df;Class size SS: 5 df;SSE: 10 df
E)Teacher SS: 3 df;Class size SS: 4 df;SSE: 12 df
Q3) A student runs an experiment on test scores for males and females at different times of day.She uses 4 different times of day.
A)Gender SS: 1 df;Time SS: 3 df;SSE: 3 df
B)Gender SS: 1 df;Time SS: 4 df;SSE: 4 df
C)Gender SS: 2 df;Time SS: 3 df;SSE 3 df
D)Gender SS: 1 df;Time SS: 3 df;SSE: 8 df
E)Gender SS: 2 df;Time SS: 4 df;SSE: 8 df
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Chapter 29: Multiple Regression
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Sample Questions
Q1) Every extra metre of the length adds 5.2 kg to the average weight.
A)This is not correct.Every extra foot of the length adds 5.2 kg to the average weight,for a given chest size and sex.
B)This is correct.
C)This is not correct.Weight,the response variable,does not effect length.
D)This is not correct.Length does not effect weight.
E)This is not correct.Every extra inch of the length adds 3.6 pounds to the average weight.
Q2) From this model,what is the predicted calorie content of a serving of breakfast cereal which contains 10 g of protein,3 g of fat,6 g of fibre,14 g of carbohydrates,and 2 g of sugar?
A)203 calories
B)144 calories
C)183 calories
D)98 calories
E)111 calories
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Chapter 30: Multiple Regression Wisdom
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Sample Questions
Q1) How would you interpret the coefficient of Science in the multiple regression?
Q2) A real estate agent wishes to predict the selling price of a home based on several variables.One categorical variable of interest is the quality of the home - low,medium,or high.If the real estate agent wished to include "quality" in a regression model,how many indicator variables would he/she need to use in the model?
Q3) How would you interpret the coefficient of sex in this model?
Q4) What is the purpose of an indicator variable in a regression model?
A)An indicator variable allows us to increase our R-squared value.
B)An indicator variable allows us to include quantitative variables in our model.
C)An indicator variable allows us to fix violations of our constant variance assumption.
D)An indicator variable allows us to fix violations of our normality assumption.
E)An indicator variable allows us to include categorical variables in our model.
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Chapter 31: Rank-Based Nonparametric Tests
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Q1) Fifty (50)students took a math test before and after tutoring.Of the 50 students,34 showed an improvement and 2 showed no change.After ranking the remaining 48 differences (before - after),it is found that T- = 873 and T+ = 303 Do the data suggest that the tutoring improves math scores? Conduct a Wilcoxon signed rank test using a 0.01 level of significance.
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Chapter 32: The Bootstrap
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Sample Questions
Q1) Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {4,8,13}?
A)2/9
B)1/3
C)1/27
D)0
E)1
Q2) Consider the following sample of three measurements {4,8,13}.Five bootstrap samples of this sample produced the following resamples: {4,8,8},{4,4,13},{4,8,13},{8,8,8},{8,13,13}.Based on these five resamples,find the bootstrap of the standard error of the sample mean.
A)3.4111
B)1.8469
C)2.3157
D)0.8260
E)8.2667
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