Deck 32: The Bootstrap

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

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

A)24
B)27
C)3
D)10
E)4
سؤال
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
سؤال
Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is least likely to occur?

A){4,8,13}
B){8,8,8}
C){4,4,13}
D){4,8,8}
E)All distinct resamples are equally likely.
سؤال
A random sample of 50 students were randomly selected from your campus.Each student was asked to record their income and their average grade,as a percentage,for the 2010/2011 school year.The sample correlation coefficient was found to be -0.43.Ten subsequent bootstrap samples based on this initial sample produced the following correlation coefficients: -0.51,-0.33,-0.42,-0.45,-0.48,-0.44,-0.48,-0.56,-0.38,-0.39.Based on these ten resamples,find the bootstrap of the standard error of the sample correlation.

A)0.0214
B)0.0005
C)-0.444
D)0.2135
E)0.0675
سؤال
Consider the following sample of three measurements {1,2,3,4}.How many distinct resamples are possible?

A)4
B)10
C)24
D)35
E)27
سؤال
Consider the following sample of four measurements {2,5,11,14}.Five bootstrap samples of this sample produced the following resamples: {2,5,5,14},{5,11,11,11},{2,11,14,14},{2,2,14,14},
{5,5,11,14}.Based on these five resamples,find the bootstrap of the standard error of the sample median.

A)8.9
B)2.9240
C)2.3333
D)8.55
E)1.3077
سؤال
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). 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.<div style=padding-top: 35px>
Use software to bootstrap the standard error of the difference in sample medians based on 200 resamples.
سؤال
Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is most likely to occur?

A){4,4,13}
B){8,8,8}
C){4,8,8}
D){4,8,13}
E)All distinct resamples are equally likely.
سؤال
A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111 <div style=padding-top: 35px>
- <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111 <div style=padding-top: 35px>
= 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111 <div style=padding-top: 35px>
*- <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111 <div style=padding-top: 35px>
*: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111 <div style=padding-top: 35px>
- <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111 <div style=padding-top: 35px>
.

A)1.7982
B)0.5686
C)3.2334
D)0.43
E)2.1111
سؤال
Consider the following sample of three measurements {4,8,13}.How many distinct resamples are possible?

A)27
B)24
C)3
D)6
E)10
سؤال
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.

A)3.1937
B)1.4283
C)8.2
D)5.2222
E)10.2
سؤال
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
سؤال
Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {8,8,8}?

A)1/3
B)0
C)1/27
D)1
E)1/8
سؤال
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. 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 bootstrap the standard error of the difference in sample medians based on 200 resamples.<div style=padding-top: 35px>
Use software to bootstrap the standard error of the difference in sample medians based on 200 resamples.
سؤال
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
سؤال
Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545 <div style=padding-top: 35px>
- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545 <div style=padding-top: 35px>
= 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545 <div style=padding-top: 35px>
*- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545 <div style=padding-top: 35px>
*:
5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545 <div style=padding-top: 35px>
- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545 <div style=padding-top: 35px>
.

A)1.6193
B)0.5121
C)4.7
D)2.6222
E)3.4545
سؤال
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
سؤال
Consider the following sample of three measurements {1,2,3,4}.Which of the following distinct resamples is least likely to occur?

A){1,1,1,1}
B){1,2,4,4}
C){1,1,2,2}
D){1,1,1,4}
E){1,2,3,4}
سؤال
Consider the following sample of four measurements {2,5,11,14}.Five bootstrap samples of this sample produced the following resamples: {2,5,5,14},{5,11,11,11},{2,11,14,14},{2,2,14,14},
{5,5,11,14}.Based on these five resamples,find the bootstrap of the standard error of the sample mean.

A)0.6452
B)4.5667
C)8.6
D)1.4427
E)2.0813
سؤال
Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1) <div style=padding-top: 35px>
*- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1) <div style=padding-top: 35px>
* were are ordered from lowest to highest.The first 10 and last 10 ordered values of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1) <div style=padding-top: 35px>
*- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1) <div style=padding-top: 35px>
* are given below: <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1) <div style=padding-top: 35px>
Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).

A)(0.4,7.5)
B)(1.3,6.3)
C)(1.2,6.8)
D)(1.8,5.1)
E)(0.4,8.1)
سؤال
When using bootstrapping to estimate the standard error of a statistic,what is the minimum number of resamples required (according to the textbook)?

A)1000
B)60
C)30
D)100
E)200
سؤال
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: <strong>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.</strong> 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) <div style=padding-top: 35px>
Use the percentile method to compute a 98% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

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

A)200
B)1000
C)30
D)60
E)100
سؤال
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: <strong>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.</strong> 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) <div style=padding-top: 35px>
Use the percentile method to compute a 95% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

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

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.
سؤال
A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below: <strong>A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true average grade of all students at your school.</strong> A)(60.44,80.98) B)(61.67,80.57) C)(61.22,79.33) D)(61.22,80.57) E)(63.01,78.13) <div style=padding-top: 35px>
Use the percentile method to compute a 95% bootstrap confidence interval for the true average grade of all students at your school.

A)(60.44,80.98)
B)(61.67,80.57)
C)(61.22,79.33)
D)(61.22,80.57)
E)(63.01,78.13)
سؤال
A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below: <strong>A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below:   Use the percentile method to compute a 90% bootstrap confidence interval for the true average grade of all students at your school.</strong> A)(60.44,80.98) B)(61.22,80.57) C)(63.01,78.13) D)(61.22,79.33) E)(61.67,80.57) <div style=padding-top: 35px>
Use the percentile method to compute a 90% bootstrap confidence interval for the true average grade of all students at your school.

A)(60.44,80.98)
B)(61.22,80.57)
C)(63.01,78.13)
D)(61.22,79.33)
E)(61.67,80.57)
سؤال
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). 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 compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.<div style=padding-top: 35px>
Use software to compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.
سؤال
A random sample of 50 adult men in Toronto were randomly selected in order to investigate the correlation between their heights and weights.In order to compute a bootstrap confidence interval for the difference in population means,280 subsequent bootstrap samples were taken and the resulting values of the sample correlation were are ordered from lowest to highest.The first 10 and last 10 ordered values of sample correlation are given below: <strong>A random sample of 50 adult men in Toronto were randomly selected in order to investigate the correlation between their heights and weights.In order to compute a bootstrap confidence interval for the difference in population means,280 subsequent bootstrap samples were taken and the resulting values of the sample correlation were are ordered from lowest to highest.The first 10 and last 10 ordered values of sample correlation are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true correlation between the heights and weights of adult men in Toronto.</strong> A)(0.23,0.88) B)(0.37,0.76) C)(0.42,0.70) D)(0.41,0.73) E)(0.26,0.85) <div style=padding-top: 35px>
Use the percentile method to compute a 95% bootstrap confidence interval for the true correlation between the heights and weights of adult men in Toronto.

A)(0.23,0.88)
B)(0.37,0.76)
C)(0.42,0.70)
D)(0.41,0.73)
E)(0.26,0.85)
سؤال
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. 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.<div style=padding-top: 35px>
Use software to compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.
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Deck 32: The Bootstrap
1
Consider the following sample of three measurements {1,2,3,4}.Which of the following distinct resamples is most likely to occur?

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}
{1,2,3,4}
2
Consider the following sample of three measurements {4,8,8}.How many distinct resamples are possible?

A)24
B)27
C)3
D)10
E)4
4
3
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
1.8469
4
Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is least likely to occur?

A){4,8,13}
B){8,8,8}
C){4,4,13}
D){4,8,8}
E)All distinct resamples are equally likely.
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5
A random sample of 50 students were randomly selected from your campus.Each student was asked to record their income and their average grade,as a percentage,for the 2010/2011 school year.The sample correlation coefficient was found to be -0.43.Ten subsequent bootstrap samples based on this initial sample produced the following correlation coefficients: -0.51,-0.33,-0.42,-0.45,-0.48,-0.44,-0.48,-0.56,-0.38,-0.39.Based on these ten resamples,find the bootstrap of the standard error of the sample correlation.

A)0.0214
B)0.0005
C)-0.444
D)0.2135
E)0.0675
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6
Consider the following sample of three measurements {1,2,3,4}.How many distinct resamples are possible?

A)4
B)10
C)24
D)35
E)27
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7
Consider the following sample of four measurements {2,5,11,14}.Five bootstrap samples of this sample produced the following resamples: {2,5,5,14},{5,11,11,11},{2,11,14,14},{2,2,14,14},
{5,5,11,14}.Based on these five resamples,find the bootstrap of the standard error of the sample median.

A)8.9
B)2.9240
C)2.3333
D)8.55
E)1.3077
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8
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). 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.
Use software to bootstrap the standard error of the difference in sample medians based on 200 resamples.
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9
Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is most likely to occur?

A){4,4,13}
B){8,8,8}
C){4,8,8}
D){4,8,13}
E)All distinct resamples are equally likely.
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10
A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111
- <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111
= 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111
*- <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111
*: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111
- <strong>A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be   -   = 0.8.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.7982 B)0.5686 C)3.2334 D)0.43 E)2.1111
.

A)1.7982
B)0.5686
C)3.2334
D)0.43
E)2.1111
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11
Consider the following sample of three measurements {4,8,13}.How many distinct resamples are possible?

A)27
B)24
C)3
D)6
E)10
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12
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.

A)3.1937
B)1.4283
C)8.2
D)5.2222
E)10.2
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13
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
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14
Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {8,8,8}?

A)1/3
B)0
C)1/27
D)1
E)1/8
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15
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. 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 bootstrap the standard error of the difference in sample medians based on 200 resamples.
Use software to bootstrap the standard error of the difference in sample medians based on 200 resamples.
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16
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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17
Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545
- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545
= 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545
*- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545
*:
5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545
- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed,and the difference in sample means is found to be   -   = 4.3.Ten subsequent bootstrap samples from each of these original samples yield the following values of   *-   *: 5.8,1.7,2.9,4.9,6.1,5.2,7.0,5.5,4.6,3.3.Based on these ten values,find the bootstrap of the standard error of   -   .</strong> A)1.6193 B)0.5121 C)4.7 D)2.6222 E)3.4545
.

A)1.6193
B)0.5121
C)4.7
D)2.6222
E)3.4545
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18
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
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19
Consider the following sample of three measurements {1,2,3,4}.Which of the following distinct resamples is least likely to occur?

A){1,1,1,1}
B){1,2,4,4}
C){1,1,2,2}
D){1,1,1,4}
E){1,2,3,4}
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20
Consider the following sample of four measurements {2,5,11,14}.Five bootstrap samples of this sample produced the following resamples: {2,5,5,14},{5,11,11,11},{2,11,14,14},{2,2,14,14},
{5,5,11,14}.Based on these five resamples,find the bootstrap of the standard error of the sample mean.

A)0.6452
B)4.5667
C)8.6
D)1.4427
E)2.0813
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21
Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1)
*- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1)
* were are ordered from lowest to highest.The first 10 and last 10 ordered values of <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1)
*- <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1)
* are given below: <strong>Two brands of flares - Brand 1 and Brand 2 - are tested for their burning times (in minutes).A random sample of 40 of each brand of flare are burned and timed.In order to compute a bootstrap confidence interval for the difference in population means,400 subsequent bootstrap samples were taken and the resulting values of   *-   * were are ordered from lowest to highest.The first 10 and last 10 ordered values of   *-   * are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).</strong> A)(0.4,7.5) B)(1.3,6.3) C)(1.2,6.8) D)(1.8,5.1) E)(0.4,8.1)
Use the percentile method to compute a 95% bootstrap confidence interval for the true difference in the average burning time (Brand 1 - Brand 2).

A)(0.4,7.5)
B)(1.3,6.3)
C)(1.2,6.8)
D)(1.8,5.1)
E)(0.4,8.1)
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22
When using bootstrapping to estimate the standard error of a statistic,what is the minimum number of resamples required (according to the textbook)?

A)1000
B)60
C)30
D)100
E)200
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23
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: <strong>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.</strong> 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)
Use the percentile method to compute a 98% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

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)
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24
When computing a bootstrap confidence interval using the percentile method,what is the minimum number of resamples required (according to the textbook)?

A)200
B)1000
C)30
D)60
E)100
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25
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: <strong>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.</strong> 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)
Use the percentile method to compute a 95% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

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)
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26
When selecting a bootstrap sample,which of the following statements is true?

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.
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27
A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below: <strong>A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true average grade of all students at your school.</strong> A)(60.44,80.98) B)(61.67,80.57) C)(61.22,79.33) D)(61.22,80.57) E)(63.01,78.13)
Use the percentile method to compute a 95% bootstrap confidence interval for the true average grade of all students at your school.

A)(60.44,80.98)
B)(61.67,80.57)
C)(61.22,79.33)
D)(61.22,80.57)
E)(63.01,78.13)
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28
A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below: <strong>A random sample of 100 students were randomly selected from your school and their average grade was recorded,as a percentage,for the 2010/2011 school year.In order to compute a bootstrap confidence interval for the mean,200 subsequent bootstrap samples were taken and the 200 resulting sample means were ordered from lowest to highest.The first 10 and last 10 ordered means are given below:   Use the percentile method to compute a 90% bootstrap confidence interval for the true average grade of all students at your school.</strong> A)(60.44,80.98) B)(61.22,80.57) C)(63.01,78.13) D)(61.22,79.33) E)(61.67,80.57)
Use the percentile method to compute a 90% bootstrap confidence interval for the true average grade of all students at your school.

A)(60.44,80.98)
B)(61.22,80.57)
C)(63.01,78.13)
D)(61.22,79.33)
E)(61.67,80.57)
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29
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). 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 compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.
Use software to compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.
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30
A random sample of 50 adult men in Toronto were randomly selected in order to investigate the correlation between their heights and weights.In order to compute a bootstrap confidence interval for the difference in population means,280 subsequent bootstrap samples were taken and the resulting values of the sample correlation were are ordered from lowest to highest.The first 10 and last 10 ordered values of sample correlation are given below: <strong>A random sample of 50 adult men in Toronto were randomly selected in order to investigate the correlation between their heights and weights.In order to compute a bootstrap confidence interval for the difference in population means,280 subsequent bootstrap samples were taken and the resulting values of the sample correlation were are ordered from lowest to highest.The first 10 and last 10 ordered values of sample correlation are given below:   Use the percentile method to compute a 95% bootstrap confidence interval for the true correlation between the heights and weights of adult men in Toronto.</strong> A)(0.23,0.88) B)(0.37,0.76) C)(0.42,0.70) D)(0.41,0.73) E)(0.26,0.85)
Use the percentile method to compute a 95% bootstrap confidence interval for the true correlation between the heights and weights of adult men in Toronto.

A)(0.23,0.88)
B)(0.37,0.76)
C)(0.42,0.70)
D)(0.41,0.73)
E)(0.26,0.85)
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31
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. 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.
Use software to compute a 95% bootstrap confidence interval for the difference in sample medians based on 1000 resamples.
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افتح القفل للوصول البطاقات البالغ عددها 31 في هذه المجموعة.