Question 1

When computing a bootstrap confidence interval using the percentile method,what is the minimum number of resamples required (according to the textbook)?

Accepted Answer

A) 200 
B) 1000 
C) 30 
D) 60 
E) 100 
A) 200 
B) 1000 
C) 30 
D) 60 
E) 100

Question 2

A researcher was interested in comparing the salaries of female and male employees of a particular company.Independent random samples of 8 female employees (sample 1)and 15 male employees (sample 2)yielded the following weekly salaries (in dollars).   
Use software to bootstrap the standard error of the difference in sample medians based on 200 resamples.

Accepted Answer

The answer of A researcher was interested in comparing the...

Question 3

Consider the following sample of three measurements {4,8,8}.How many distinct resamples are possible?

Accepted Answer

A) 24 
B) 27 
C) 3 
D) 10 
E) 4 
A) 24 
B) 27 
C) 3 
D) 10 
E) 4

Question 4

Consider the following sample of three measurements {1,2,3,4}.Which of the following distinct resamples is most likely to occur?

Accepted Answer

A) {1,1,1,4} 
B) {1,2,3,4} 
C) {1,2,4,4} 
D) {1,1,1,1} 
E) {1,1,2,2} 
A) {1,1,1,4} 
B) {1,2,3,4} 
C) {1,2,4,4} 
D) {1,1,1,1} 
E) {1,1,2,2}

Question 5

Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is most likely to occur?

Accepted Answer

A) {4,4,13} 
B) {8,8,8} 
C) {4,8,8} 
D) {4,8,13} 
E) All distinct resamples are equally likely. 
A) {4,4,13} 
B) {8,8,8} 
C) {4,8,8} 
D) {4,8,13} 
E) All distinct resamples are equally likely.

Question 6

A random sample of 50 adult males in Toronto,Ontario were randomly selected and their weight,in kilograms,was recorded to the nearest kilogram.In order to compute a bootstrap confidence interval for the median,200 subsequent bootstrap samples were taken and the resulting sample medians were are ordered from lowest to highest.The first 10 and last 10 ordered medians are given below:  
Use the percentile method to compute a 95% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

Accepted Answer

A) (70.0,95.5) 
B) (69.5,95.0) 
C) (70.0,94.5) 
D) (69.0,95.5) 
E) (69.5,94.5) 
A) (70.0,95.5) 
B) (69.5,95.0) 
C) (70.0,94.5) 
D) (69.0,95.5) 
E) (69.5,94.5)

Question 7

Consider the following sample of three measurements {4,8,13}.How many distinct resamples are possible?

Accepted Answer

A) 27 
B) 24 
C) 3 
D) 6 
E) 10 
A) 27 
B) 24 
C) 3 
D) 6 
E) 10

Question 8

A random sample of 50 adult males in Toronto,Ontario were randomly selected and their weight,in kilograms,was recorded to the nearest kilogram.In order to compute a bootstrap confidence interval for the median,400 subsequent bootstrap samples were taken and the resulting sample medians were are ordered from lowest to highest.The first 10 and last 10 ordered medians are given below:  
Use the percentile method to compute a 98% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

Accepted Answer

A) (68.5,95.0) 
B) (70.5,93.5) 
C) (68.0,96.0) 
D) (69.0,95.0) 
E) (68.0,95.0) 
A) (68.5,95.0) 
B) (70.5,93.5) 
C) (68.0,96.0) 
D) (69.0,95.0) 
E) (68.0,95.0)

Question 9

When selecting a bootstrap sample,which of the following statements is true?

Accepted Answer

A) We select another sample from the population of interest.This resample must have the same number of observations as the original sample. 
B) We select a sample with replacement from the original sample observations.This resample must have the same number of observations as the original sample. 
C) We select another sample from the population of interest.This resample must have more observations than the original sample in order to increase the accuracy of our estimates. 
D) We select a sample without replacement from the original sample observations.This resample must have the same number of observations as the original sample. 
E) We select a sample with replacement from the original sample observations.This resample must have fewer observations than the original sample. 
A) We select another sample from the population of interest.This resample must have the same number of observations as the original sample. 
B) We select a sample with replacement from the original sample observations.This resample must have the same number of observations as the original sample. 
C) We select another sample from the population of interest.This resample must have more observations than the original sample in order to increase the accuracy of our estimates. 
D) We select a sample without replacement from the original sample observations.This resample must have the same number of observations as the original sample. 
E) We select a sample with replacement from the original sample observations.This resample must have fewer observations than the original sample.

Question 10

A researcher was interested in comparing the GPAs of students at the University of Toronto Scarborough and Mississauga campuses.Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs.   
Use software to compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.

Accepted Answer

The answer of A researcher was interested in comparing the...

Question 11

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 median.

Accepted Answer

A) 3.1937 
B) 1.4283 
C) 8.2 
D) 5.2222 
E) 10.2 
A) 3.1937 
B) 1.4283 
C) 8.2 
D) 5.2222 
E) 10.2

When computing a bootstrap confidence interval using the percentile method,what is the minimum number of resamples required (according to the textbook)?

Consider the following sample of three measurements {4,8,8}.How many distinct resamples are possible?

Consider the following sample of three measurements {1,2,3,4}.Which of the following distinct resamples is most likely to occur?

Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is most likely to occur?

Consider the following sample of three measurements {4,8,13}.How many distinct resamples are possible?

When selecting a bootstrap sample,which of the following statements is true?

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 median.

Data

Displaying and Describing Categorical Data

Displaying and Summarizing Quantitative Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Scatterplots, association, and Correlation

Linear Regression

Regression Wisdom

Re-Expressing Data: Get It Straight

Understanding Randomness

Sample Surveys

Experiments and Observational Surveys

From Randomness to Probability

Probability Rules

Random Variables

Probability Models

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

Filters

Exam 32: The Bootstrap

When computing a bootstrap confidence interval using the percentile method,what is the minimum number of resamples required (according to the textbook)?

Consider the following sample of three measurements {4,8,8}.How many distinct resamples are possible?

Consider the following sample of three measurements {1,2,3,4}.Which of the following distinct resamples is most likely to occur?

Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is most likely to occur?

Consider the following sample of three measurements {4,8,13}.How many distinct resamples are possible?

When selecting a bootstrap sample,which of the following statements is true?

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 median.

Data

Displaying and Describing Categorical Data

Displaying and Summarizing Quantitative Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Scatterplots, association, and Correlation

Linear Regression

Regression Wisdom

Re-Expressing Data: Get It Straight

Understanding Randomness

Sample Surveys

Experiments and Observational Surveys

From Randomness to Probability

Probability Rules

Random Variables

Probability Models

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

Filters