Applied Statistics
Exam Questions
Course Introduction
Applied Statistics provides students with foundational knowledge and practical skills in statistical methods used to analyze real-world data. The course covers topics such as descriptive statistics, probability distributions, hypothesis testing, confidence intervals, correlation, regression analysis, and analysis of variance. Through lectures and hands-on activities, students learn how to collect, organize, interpret, and draw meaningful inferences from data sets using statistical software. Emphasis is placed on solving practical problems across various fields, fostering data-driven decision-making and critical thinking.
Recommended Textbook
Stats Data and Models 1st Canadian Edition by Richard D. De Veaux
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Page 2
Chapter 1: Data
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Sample Questions
Q1) The outcome of tossing a coin
A)Categorical
B)Quantitative
Answer: A
Q2) A biologist studying hatchery fish released into rivers recorded several characteristics including length (centimetres),weight (kilograms),and life span.
A)Length,quantitative,centimetres;life span,quantitative,years.
B)Length,quantitative,centimetres;weight,quantitative,kilograms.
C)Length,quantitative,inches;weight,quantitative,pounds;life span,quantitative,years.
D)Length,quantitative,centimetres;weight,quantitative,kilograms;life span,quantitative,years.
E)Length,quantitative,inches;weight,quantitative,kilograms;life span,categorical.
Answer: D
Q3) The colour of your house
A)Quantitative
B)Categorical
Answer: B
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3
Chapter 2: Displaying and Describing Categorical Data
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Sample Questions
Q1) Of the 1,470 applicants to a college program,760 were accepted,269 were wait-listed,and 441 were turned away for lack of space.Find the relative frequency distribution of the decisions made,and write a sentence describing it.
A)1,470 students applied for admission to the college program.52% were accepted,18% were wait-listed,and 30% were turned away.
B)1,470 students applied for admission to the college program.52% were accepted,and 48% were turned away.
C)1,470 students applied for admission to the college program.52% were accepted,35% were wait-listed,and 30% were turned away.
D)1,470 students applied for admission to the college program.52% were accepted,35% were wait-listed,and 58% were turned away.
E)1,470 students applied for admission to the college program.70% were accepted,and 30% were turned away.
Answer: A
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4
Chapter 3: Displaying and Summarizing Quantitative Data
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Sample Questions
Q1) John liked to order the all-you-can-eat shrimp at his favorite restaurant.Here are the number of shrimp he ate during his last five visits to the restaurant. 15,16,13,15,10
A)15 shrimp
B)13 shrimp
C)13.8 shrimp
D)17.3 shrimp
E)10 shrimp
Answer: C
Q2) For class 2,compare the mean and the median.
A)Mean is higher than median.
B)Median is lower than mean.
C)Median is higher than mean.
D)Mean is equal to median.
E)No comparison possible
Answer: C
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Chapter 4: Understanding and Comparing Distributions
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Sample Questions
Q1) How would you describe the shape of each distribution?
A)Class1: 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)Class1: 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
C)Class1: 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
D)Class1: 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
E)Class1: 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
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6
Chapter 5: The Standard Deviation As a Ruler and the Normal
Model
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Sample Questions
Q1) A town's average snowfall is 40 cm per year with a standard deviation of 12 cm.How many standard deviations from the mean is a snowfall of 64 cm?
A)0.44 standard deviations below the mean
B)2.00 standard deviations above the mean
C)2.00 standard deviations below the mean
D)1.60 standard deviations above the mean
E)0.44 standard deviations above the mean
Q2) the middle 96%
A)0 to 2.05
B)-2.33 to 2.33
C)-3.00 to 3.00
D)-1.75 to 1.75
E)-2.05 to 2.05
Q3) = 15.2,15.87% above 16.1; = ?
A)1.35
B)0.83
C)1.25
D)0.90
E)1.80
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Chapter 6: Scatterplots, association, and Correlation
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Sample Questions
Q1) A science instructor assigns a group of students to investigate the relationship between the pH of the water of a river and its water's hardness (measured in grains).Some students wrote these conclusions: "there was a very strong correlation of 1.35 between pH of the water and water's hardness." Is the calculation of the correlation appropriate?
A)Yes: correlation can be greater than 1.
B)Yes: the pH and the hardness of the water are data collected from the same river.
C)No: there is little or no association.
D)No: correlation cannot be greater than 1.
E)No: correlation must be equal to 1.
Q2) A reporter investigates speeding on roads in a county and finds a correlation of 0.961 between the number of speeding tickets and the numbers of kilometres of well-paved roads.Assuming that the relation is linear,does it mean that there are more speeding tickets on well-paved roads?
A)Yes: the relation is linear.
B)No: speeding is a categorical variable.
C)Yes: the two variables are quantitative.
D)No: the correlation does not imply causality.
E)Yes: the correlation is close to 1.
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Chapter 7: Linear Regression
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Sample Questions
Q1) 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.
Q2) 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.What units does the slope have?
A)Slope is kilowatt-hours per square foot.
B)Slope is kilowatt-hours per house.
C)Slope is square feet per kilowatt-hour.
D)Slope is square feet per house.
E)Slope is houses per kilowatt-hour.
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Chapter 8: Regression Wisdom
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Sample Questions
Q1) A university studied students' grades and established a strong positive association between the high school average of incoming students and their university GPA.Describe three different possible cause-and-effect relationships that might be present.
A)Perhaps higher high school averages cause higher university GPAs,or both could be caused by a lurking variable such as the students' IQ.
B)There is only one cause-and-effect relationship: higher university GPAs cause higher high school averages.
C)There is only one cause-and-effect relationship: higher high school averages cause higher university GPAs.
D)There are only two cause-and-effect relationships: higher high school averages cause higher university GPAs,or higher university GPAs cause higher high school averages.
E)Perhaps higher high school averages cause higher university GPAs,higher university GPAs cause higher high school averages,or both could be caused by a lurking variable such as the students' high school.
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Chapter
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Sample Questions
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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Sample Questions
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 the response variable.
A)The response variable is the total number of students who vote.
B)The response variable is the vote of one random voter.
C)The response variable is the number of votes for Candidate A.
D)The response variable is whether Candidate A loses or not.
E)The response variable is the number of votes for Candidate B.
Q2) The lengths of long distance phone calls placed on a cell phone can be described by a Normal model with a mean of 7 minutes and a standard deviation of 2 minutes.If one call is randomly selected from wireless phone company records,what is the probability that it will have lasted more than 11 minutes?
A)0.0977
B)0.23
C)0.977
D)0.023
E)0.98
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Page 12
Chapter 11: Sample Surveys
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Sample Questions
Q1) Several watch-dog consumer groups have criticized the fast food industry for serving food with excessive fat content.One watch-dog announced that it will randomly select one fast food chain per week.The watch-dog will then decide,as a group,to purchase one item off the menu that has been advertised the most on television and in the newspapers.The watch-dog will then have that heavily-advertised,just-purchased item professionally sampled for fat content.Weekly results will be posted on the watch-dog's website.For this scenario,what best describes the watch-dog's sampling activities each week?
A)Cluster sampling
B)Attempted census
C)Systematic sampling
D)Stratified sampling
E)Multistage sampling
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13
Chapter 12: Experiments and Observational Surveys
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Sample Questions
Q1) 400 patients suffering from chronic back pain were randomly assigned to one of two groups.Over a four-month period,the first group received acupuncture treatments and the second group received a placebo.Patients who received acupuncture treatments improved more than those who received the placebo.
A)Retrospective observational study
B)Experiment
C)Prospective observational study
Q2) An examination of the medical records of 10,000 women who died between 1990 and 2000 showed that those who had taken steroids had a higher risk of osteoperosis.Identify the parameter of interest.
A)Year of death
B)Years of steroids use
C)Cause of death
D)Gender
E)Risk of osteoperosis
Q3) In an experiment,explain the difference between the treatments and the factors.
Q4) Researchers reported that for men,being unmarried increases the risk of depression.These findings were based on the medical records of 400 married men and 500 unmarried men.Why is this conclusion not justified?
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Chapter 13: From Randomness to Probability
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Sample Questions
Q1) Roll a die and record the number.Then flip a coin and record whether it comes up heads or tails.
A){1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T},equally likely
B){1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T},not equally likely
C){1,2,3,4,5,6,H,T},not equally likely
D){1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T,HH,HT,TH,TT},equally likely
E){1H,2T,3H,4T,5H,6T},equally likely
Q2) According to a survey in one U.S.city,49% of women between the ages and 25 of 35 are married,47% are working full time,and 21% are married and working full time.If a woman between the ages of 25 and 35 is picked at random from the city,what is the probability that she is working full time or married but not both?
A)0.79
B)0.25
C)0.75
D)0.54
E)0.96
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15
Chapter 14: Probability Rules
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Sample Questions
Q1) A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers.It buys 23% of the connectors from supplier A,31% from supplier B,and 46% from supplier C.It finds that 1% of the connectors from supplier A are defective,2% of the connectors from supplier B are defective,and 3% of the connectors from supplier C are defective.If a customer buys one of these components and finds that the connector is defective,what is the probability that it came from supplier B?
A)0.385
B)0.278
C)0.31
D)0.02
E)0.103
Q2) You are dealt a hand of three cards,one at a time.Find the probability that you get no clubs.
A)0.783
B)0.315
C)0.414
D)0.422
E)0.118
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Chapter 15: Random Variables
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Sample Questions
Q1) A police department reports that the probabilities that 0,1,2,and 3 burglaries will be reported in a given day are 0.52,0.42,0.05,and 0.01,respectively.Find the standard deviation of the number of burglaries in a day.
A)0.41
B)0.96
C)0.64
D)0.80
E)0.84
Q2) You roll a pair of dice.If you get a sum greater than 10 you win $50.If you get a double you win $20.If you get a double and a sum greater than 10 you win a $70.Otherwise you win nothing.Find the standard deviation of the amount you win at this game.
A)$14.08
B)$274.31
C)$25.21
D)$14.91
E)$16.56
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Chapter 16: Probability Models
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Sample Questions
Q1) We record the blood types (O,A,B,or AB)found in a group of 100 people.Assume that the people are unrelated to each other.
A)Yes.
B)No.The chance of getting a particular blood group changes from one person to the next.
C)No.More than two outcomes are possible.
D)No,400 is more than 10% of the population.
E)No.The chance of getting a particular blood group depends on the blood groups already recorded.
Q2) Suppose a computer chip manufacturer rejects 5% of the chips produced because they fail presale testing.If we select 50 chips at random,how many chips do you expect to fail the testing?
A)0.05 chips
B)21.8 chips
C)2.5 chips
D)5 chips
E)2 chips
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Chapter 17: Sampling Distribution Models
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Sample Questions
Q1) A 1000-acre farm historically averages 193 bushels per acre with a standard deviation of 16 bushels per acre.Fifty acres are sampled and the mean yield determined.If we imagined all the possible random samples of 50 acres we could take and looked at all the sample means,is it appropriate to assume this data will be well modeled by a Normal distribution?
A)The Normal distribution can be used since the original population has a Normal distribution.
B)The Normal distribution cannot be used.The distribution in the sample should resemble that in the population,which may be skewed by some acres with extremely low yields.
C)The Normal distribution can be used since the samples can be assumed to be random and independent.However,there could be some doubt since weather conditions could affect all samples.The sample size,50,is no more than 10% of the population of all acres on the farm.
D)The Normal distribution cannot be used since the sample size is not large enough for the Central Limit Theorem to apply.
E)The Normal distribution can be used since the sample size,50,is no more than 10% of the population of all acres on the farm.
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Page 19
Chapter 18: Confidence Intervals for Proportions
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Sample Questions
Q1) The real estate industry claims that it is the best and most effective system to market residential real estate.A survey of randomly selected home sellers in Ontario found that a 90% confidence interval for the proportion of homes that are sold by a real estate agent is 75% ± 6%.Explain why each of these conclusions is not correct.
a)Between 69% and 81% of all homes in Ontario are sold by a real estate agent.
b)90% of all random samples of home sellers in Ontario will show that 75% of homes are sold by a real estate agent.
c)90% of all random samples of home sellers in Ontario will show that 69% to 81% of homes are sold by a real estate agent.
d)We are 90% sure that between 69% and 81% of homes in this sample were sold by a real estate agent.
Q2) A mayoral election race is tightly contested.In a random sample of 1,900 likely voters,1,007 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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20
Chapter 19: Testing Hypotheses About Proportions
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Q1) Marc wants to know if the mean age of the employees at his company is less than 26 years.He obtains a random sample of 100 employees,and finds a mean age of 25.1 years and a standard deviation of 9.2 years.
A)Fail to reject the null hypothesis of = 26 with a P-value of 0.1635.There is not sufficient evidence that the mean age is less than 26 years.
B)Reject the null hypothesis of = 26 with a P-value of 0.0425.The evidence suggests that the mean age is less than 26 years.
C)Fail to reject the null hypothesis of = 26 with a P-value of 0.8365.There is not sufficient evidence that the mean age is less than 26 years.
D)Reject the null hypothesis of = 26 with a P-value of 0.018.There is sufficient evidence that the mean age is less than 26 years.
E)There is not enough information to perform the test.
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.
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21
Chapter 20: More About Tests
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Sample Questions
Q1) A university wants to increase its retention rate of 4% for graduating students from the previous year.After implementing several new programs during the last two years,the university reevaluated its retention rate.Identify the Type I error in this context.
A)The university stops all new programs,but in fact retention is on the rise and the programs help.
B)The university concludes that retention is on the rise,but in fact the new programs do not help retention.
C)The product of the university's sample size and sample proportion was less than 10.
D)The university sampled all students at the university.
E)The university concludes that retention is on the rise since the retention rate can only increase.
Q2) A city claims that 75% of all low income housing is 1500 sq.ft.The tenants believe the proportion of housing this size is smaller than the claim,and hire an independent firm to test a random sample size of 120 and found 1500 sq.ft.housing at 66%.Test an appropriate hypothesis using = 0.01 and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.
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Page 22
Chapter 21: Comparing Two Proportions
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Q1) You wish to construct a 90% 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)752
B)1504
C)1503
D)751
E)1984
Q2) A researcher finds that of 1,000 people who said that they attend a religious service at least once a week,31 stopped to help a person with car trouble.Of 1,200 people interviewed who had not attended a religious service at least once a month,22 stopped to help a person with car trouble.At the 0.05 significance level,do the data provide sufficient evidence to conclude that the two proportions are different?
Q3) In a random sample of 500 people aged 20-24,22% were smokers.In a random sample of 450 people aged 25-29,14% were smokers.Do the data provide sufficient evidence to conclude that the proportion of smokers in the 20-24 age group is different from the proportion of smokers in the 25-29 age group? Use a significance level of 0.01.
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Page 23
Chapter 22: Inferences About Means
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Sample Questions
Q1) A 99% confidence interval from a sample of size 41
A)2.423
B)2.576
C)2.690
D)2.725
E)2.704
Q2) A researcher collected data on the annual salary of doctors in Nova Scotia.He wishes to construct a confidence interval for the mean annual salary.Which of the following are true?
I.A 98% confidence interval will have a greater chance of including the true mean salary than a 95% confidence interval.
II.A 98% confidence interval will be narrower than a 95% confidence interval.
III.A 98% confidence interval requires the researcher to take a larger sample.
A)III
B)II,III
C)I
D)II
E)I,II
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Chapter 23: Comparing Means
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Q1) 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.
Q2) You wish to construct a 90% confidence interval to compare the mean measurement for two groups.A small pilot study yields sample standard deviations of 10 and 15 for Group 1 and Group 2,respectively.If we wish to obtain a margin of error of at most 3,what sample size should we take from each group? Assume equal sample sizes.
A)99
B)96
C)97
D)100
E)98
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25
Chapter 24: Paired Samples and Blocks
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Q1) A researcher wishes to determine whether listening to music affects students' performance on memory test.He randomly selects 50 students and has each student perform a memory test once while listening to music and once without listening to music.He obtains the mean and standard deviation of the 50 "with music" scores and obtains the mean and standard deviation of the 50 "without music scores".
A)Two-sample t-test,since the researcher has two samples.
B)Not enough information given to determine correct type of test.
C)Pooled t-test,since the standard deviation is likely to be the same in both populations.
D)Paired t-test,since there is a "with music" and "without music" score for each person.
E)z-test for each sample,since the researcher has the sample standard deviation.
Q2) Suppose x is a variable on each of two populations whose members can be paired and that a paired difference is the difference between the values of the variable x on the members of a pair.True or false? The mean of the paired differences equals the difference between the two population means.
A)False
B)True
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Chapter 25: Comparing Counts
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Q1) Describe the null hypothesis for the test of independence.List the assumptions for the <sup>2</sup> test of independence.What is the major difference between the assumptions for this test and the assumptions for the previous tests we have studied?
Q2) A company says that each bag of their candy pieces contains 15% chocolate,27% butterscotch,10% caramel,7% peanut butter,and the rest toffee.You can buy a bag and separate the various kinds of candies.Upon weighing them,you find there are 30 grams of chocolate,48 grams of butterscotch,57 grams of caramel,63 grams of peanut butter and 90 grams of toffee.You wonder whether your bag is significantly different from what the company advertises.
A)Yes
B)No,because the expected values are unclear.
C)No,because it is not possible to find the residuals.
D)No,because the data are quantitative.
E)No,because the observed counts are too close to the expected counts.
Q3) Explain why a chi-square goodness-of-fit test is always right-tailed.
Q4) Describe a goodness-of-fit test.What assumptions are made when using a goodness-of-fit test?
Q5) When performing a chi-square goodness-of-fit test,how are the expected frequencies obtained?
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Chapter 26: Inferences for Regression
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Q1) In the context of regression analysis,the sum of the residuals is always zero.
A)True
B)False
Q2) When performing regression analysis,different samples will all yield the same sample regression line.
A)True
B)False
Q3) In the context of regression analysis,explain what is meant by the term "residual".
Q4) If the assumptions for regression inferences are met,what would you expect to see when constructing a residual plot and a normal probability plot for the residuals?
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Chapter 27: Analysis of Variance
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Q1) A mechanical engineer is studying bonding issues with the thermal protection tiles on the Space Shuttle.He wants to see whether there is any difference in the bonding strength between three different compounds.Fifteen tiles are randomly assigned to one of the three compounds so that each compound is tested on five tiles.Each tile is coated with its assigned compound and bonded to a surface.After a period of time,pull-tests are performed to determine the amount of force needed to break the bond.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?
A)df-treatment = 2;df-error = 12
B)df-treatment = 3;df-error = 12
C)df-treatment = 2;df-error = 14
D)df-treatment = 3;df-error = 14
E)df-treatment = 2;df-error = 13
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Chapter 28: Multifactor Analysis of Variance
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Q1) A student runs an experiment on test scores for males and females at different times of day.She uses 4 different times of day.
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 5 different class sizes.
Q3) A student runs a two-factor experiment to test how toaster level and speed affect the level of crispness of a bagel.He choses 3 levels of crispness (light,medium,dark)and 3 speeds (1 min,2 min,3 min),toasting one bagel at each condition.
Q4) A student runs an experiment to study the effect of gas brand and car type on mileage.She uses 3 different brands of gas on 8 different types of cars.
A)Gas brand SS: 3 df;Car type SS: 7 df;SSE: 14 df
B)Gas Brand SS: 3 df;Car type SS: 4 df;SSE: 12 df
C)Gas brand SS: 1 df;Car type SS: 7 df;SSE 14 df
D)Gas Brand SS: 2 df;Car type SS: 3 df;SSE: 8 df
E)Gas brand SS: 2 df;Car type SS: 7 df;SSE 14 df
Q5) A student runs an experiment to study the effect of gas brand and car type on mileage.She uses 3 different brands of gas on 4 different types of cars.
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Chapter 29: Multiple Regression
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Q1) Which measurement is the best predictor of weight,after allowing for the linear effects of the other variables in the model?
A)Age
B)Sex
C)Length
D)Neck
E)Head Width
Q2) Which measurement is the worst predictor of calorie content,after allowing for the linear effects of the other variables in the model?
A)sugar
B)carbohydrates
C)protein
D)fat
E)fibre
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Chapter 30: Multiple Regression Wisdom
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Q1) How would you interpret the coefficient of sex in this model?
Q2) 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.
Q3) 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?
Q4) How would you interpret the coefficient of Science in the multiple regression?
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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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Q1) Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {4,8,8}?
A)3/8
B)1/8
C)1/4
D)1/27
E)1/9
Q2) A random sample of 100 adult men in Toronto were randomly selected.The sample correlation between their heights and weights was found to be 0.62.Ten subsequent bootstrap samples based on this initial sample produced the following correlation coefficients: 0.58,0.52,0.67,0.62,0.63,0.54,0.71,0.66,0.58,0.70.Based on these ten resamples,find the bootstrap of the standard error of the sample correlation.
A)0.0206
B)0.2222
C)0.6210
D)0.0043
E)0.0652
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