A sample of eight people attended a two day course that prepares students for college admission testing. The students were given a pretest before the course and a posttest after the course. The results were as follows. $\begin{array} { l | c c c c c c c c } \text { Student } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text { Pretest } & 66 & 74 & 74 & 71 & 70 & 72 & 65 & 66 \\ \text { Posttest } & 79 & 76 & 63 & 67 & 64 & 89 & 78 & 74 \end{array}$ a) Compute the test statistic b) Can you conclude that the median scores differ between the pretest and posttest? Use the α = 0.10 Level of significance.

A) a) S=10 b) We cannot conclude that the median of the pretests and posttests are different. B) a) S=10 b) We can conclude that the median of the pretests and posttests are different. C) a) S=9 b) We cannot conclude that the median of the pretests and posttests are different. D) a) S=9 b) We can conclude that the median of the pretests and posttests are different. A) a) S=10 b) We cannot conclude that the median of the pretests and posttests are different. B) a) S=10 b) We can conclude that the median of the pretests and posttests are different. C) a) S=9 b) We cannot conclude that the median of the pretests and posttests are different. D) a) S=9 b) We can conclude that the median of the pretests and posttests are different.

Find the critical value at the $\alpha = 0.05$ = 0.05 level for the following sample, for testing H0:m=55 versus H1:m>55. 40 70 63 55 44 69 67 54 55 70 66 53 67 64

A) 4 B) 2 C) 1 D) 3 A) 4 B) 2 C) 1 D) 3

For the following data, compute the test statistic and the critical value, and determine whether to reject $H _ { 0 }$ at the $\alpha = 0.10$ level. $\begin{array} { l | l | l | l | l | l | l | l | l } \text { Sample A } & 40 & 51 & 51 & 45 & 42 & 44 & 43 & 53 \\ \hline \text { Sample B } & 25 & 40 & 34 & 51 & 29 & 29 & 38 & 62 \end{array}$

A) S=5, Critical value is 6, Reject H0 B) S=5, Critical value is 6, Do not reject H0 C) S=6, Critical value is 4, Reject H0 D) S=6, Critical value is 4, Do not reject H0 A) S=5, Critical value is 6, Reject H0 B) S=5, Critical value is 6, Do not reject H0 C) S=6, Critical value is 4, Reject H0 D) S=6, Critical value is 4, Do not reject H0

The following data was collected as part of a study examining whether there is a difference between the number of hours men and women watch television. The values represent the number of hours a Subject watched television on a designated Tuesday night. Lower values rank ahead of higher ones. \[\begin{array} { l | l l l l l l l l l l l l } \text { Men } & 2.0 & 1.5 & 3.0 & 2.5 & 2.0 & 1.0 & 0.0 & 2.0 & 1.5 & 2.5 & 2.0 & 2.0 \\ \hline \text { Women } & 2.0 & 2.5 & 1.0 & 1.0 & 1.5 & 2.5 & 2.0 & 1.0 & 2.0 & 1.5 & 1.0 & 0.0 \end{array}\] a) Calculate the P-value. b) Can you conclude that the median times watching television are different? Use the $\alpha = 0.10$ level Of significance.

A) a) 0.1251 b) Yes, you can not conclude that the median times are different. B) a) 0.1251. b) No, you can not conclude that the median times are different. C) a) 0.2502. b) No, you can not conclude that the median times are different. D) a) 0.2502 b) Yes, you can not conclude that the median times are different. A) a) 0.1251 b) Yes, you can not conclude that the median times are different. B) a) 0.1251. b) No, you can not conclude that the median times are different. C) a) 0.2502. b) No, you can not conclude that the median times are different. D) a) 0.2502 b) Yes, you can not conclude that the median times are different.

Exam 15: Nonparametric Statistics

A sample of eight people attended a two day course that prepares students for college admission testing. The students were given a pretest before the course and a posttest after the course. The results were as follows. Student 1 2 3 4 5 6 7 8 Pretest 66 74 74 71 70 72 65 66 Posttest 79 76 63 67 64 89 78 74 a) Compute the test statistic b) Can you conclude that the median scores differ between the pretest and posttest? Use the α = 0.10 Level of significance.

(Multiple Choice)

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Question 21

Find the critical value at the $\alpha = 0.05$ = 0.05 level for the following sample, for testing H₀:m=55 versus H₁:m>55. 40 70 63 55 44 69 67 54 55 70 66 53 67 64

(Multiple Choice)

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Question 22

Given $n _ { 1 } = 14 , n _ { 2 } = 26 , \mathrm {~S} = 283 , \text { and } H _ { 1 } : \mu _ { 1 } < \mu _ { 2 } \text {, }$ compute $\mu _ { s }$

(Multiple Choice)

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Question 23

Fill in the blank with the appropriate word or phrase. The null hypothesis for the rank-sum test is that the two population $?$ are equal.

(Multiple Choice)

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Question 24

For the following data, compute the test statistic and the critical value, and determine whether to reject $H _ { 0 }$ at the $\alpha = 0.10$ level. Sample A 40 51 51 45 42 44 43 53 Sample B 25 40 34 51 29 29 38 62

(Multiple Choice)

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Question 25

If the test value for a signed-rank test is 18, the sample size is 13, and the test is to be carried out at the $\alpha = 0.05$ level of significance, should the null hypothesis be rejected? Use the table of critical Values for the signed-rank test below. \alpha=0.10 \alpha=0.05 \alpha=0.02 \alpha=0.01 9 8 6 3 2 10 11 8 5 3 11 14 11 7 5 12 17 14 10 7 13 21 17 13 10

(Multiple Choice)

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Question 26

The following data was collected as part of a study examining whether there is a difference between the number of hours men and women watch television. The values represent the number of hours a Subject watched television on a designated Tuesday night. Lower values rank ahead of higher ones. Men 2.0 1.5 3.0 2.5 2.0 1.0 0.0 2.0 1.5 2.5 2.0 2.0 Women 2.0 2.5 1.0 1.0 1.5 2.5 2.0 1.0 2.0 1.5 1.0 0.0 a) Calculate the P-value. b) Can you conclude that the median times watching television are different? Use the $\alpha = 0.10$ level Of significance.

(Multiple Choice)

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Question 27

Find the critical value at the $\alpha = 0.05$ = 0.05 level for the following sample, for testing H₀:m=55 versus H₁:m>55. 40 70 63 55 44 69 67 54 55 70 66 53 67 64

Given $n _ { 1 } = 14 , n _ { 2 } = 26 , \mathrm {~S} = 283 , \text { and } H _ { 1 } : \mu _ { 1 } < \mu _ { 2 } \text {, }$ compute $\mu _ { s }$

Fill in the blank with the appropriate word or phrase. The null hypothesis for the rank-sum test is that the two population $?$ are equal.

For the following data, compute the test statistic and the critical value, and determine whether to reject $H _ { 0 }$ at the $\alpha = 0.10$ level. Sample A 40 51 51 45 42 44 43 53 Sample B 25 40 34 51 29 29 38 62

Basic Ideas

Graphical Summaries of Data

Numerical Summaries of Data

Summarizing Bivariate Data

Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Two-Sample Confidence Intervals

Two-Sample Hypothesis Tests

Tests With Qualitative Data

Inference in Linear Models

Analysis of Variance

Filters

Exam 15: Nonparametric Statistics

Find the critical value at the α=0.05\alpha = 0.05α=0.05 = 0.05 level for the following sample, for testing H0:m=55 versus H1:m>55. 40 70 63 55 44 69 67 54 55 70 66 53 67 64

Given n1=14,n2=26, S=283, and H1:μ1<μ2, n _ { 1 } = 14 , n _ { 2 } = 26 , \mathrm {~S} = 283 , \text { and } H _ { 1 } : \mu _ { 1 } < \mu _ { 2 } \text {, }n1​=14,n2​=26, S=283, and H1​:μ1​<μ2​, compute μs\mu _ { s }μs​

Fill in the blank with the appropriate word or phrase. The null hypothesis for the rank-sum test is that the two population ??? are equal.

For the following data, compute the test statistic and the critical value, and determine whether to reject H0H _ { 0 }H0​ at the α=0.10\alpha = 0.10α=0.10 level. Sample A 40 51 51 45 42 44 43 53 Sample B 25 40 34 51 29 29 38 62

Basic Ideas

Graphical Summaries of Data

Numerical Summaries of Data

Summarizing Bivariate Data

Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Two-Sample Confidence Intervals

Two-Sample Hypothesis Tests

Tests With Qualitative Data

Inference in Linear Models

Analysis of Variance

Filters

Find the critical value at the $\alpha = 0.05$ = 0.05 level for the following sample, for testing H₀:m=55 versus H₁:m>55. 40 70 63 55 44 69 67 54 55 70 66 53 67 64

Given $n _ { 1 } = 14 , n _ { 2 } = 26 , \mathrm {~S} = 283 , \text { and } H _ { 1 } : \mu _ { 1 } < \mu _ { 2 } \text {, }$ compute $\mu _ { s }$

Fill in the blank with the appropriate word or phrase. The null hypothesis for the rank-sum test is that the two population $?$ are equal.

For the following data, compute the test statistic and the critical value, and determine whether to reject $H _ { 0 }$ at the $\alpha = 0.10$ level. Sample A 40 51 51 45 42 44 43 53 Sample B 25 40 34 51 29 29 38 62