# Understandable Statistics Concepts And Methods 12th Edition By Charles Henry – Test Bank

1. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 175 145 110 90 94 118

School B 83 135 115 105 105 113

Twin Pair 7 8 9 10 11 12

School A 87 112 115 144 124 96

School B 93 87 98 132 135 105

Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills. What is the level of significance α?

a.

b.

c.

d.

e.

ANSWER: c

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 10/13/2016 10:32 AM

2. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 170 155 115 78 103 124

School B 115 145 129 105 110 104

Twin Pair 7 8 9 10 11 12

School A 94 118 124 140 132 87

School B 102 82 116 130 145 112

Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. Give the null hypothesis and alternate hypothesis in terms of p.

a. H0: p = 0.5; H1: p > 0.5

b. H0: p = 0.5; H1: p ≠ 0.5

c. H0: p < 0.5; H1: p = 0.5

d. H0: p = 0.5; H1: p < 0.5

e. H0: p ≠ 0.5; H1: p < 0.5

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 3/19/2014 4:04 AM

3. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 168 157 115 99 119 132

School B 123 142 110 110 120 122

Twin Pair 7 8 9 10 11 12

School A 120 121 132 145 138 88

School B 105 90 124 142 148 104

Suppose a sign test for matched pairs with a 8% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. Compute the test sample statistic. Round your answer to four decimal places.

a. 0.6667

b. 0.5833

c. 0.3333

d. 0.7500

e. 0.6367

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 3:54 AM

4. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 80 145 118 90 112 118

School B 83 135 115 105 105 113

Twin Pair 7 8 9 10 11 12

School A 98 112 115 144 124 96

School B 93 87 98 132 135 105

Suppose a sign test for matched pairs with a 5% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. Calculate the P-value. Round your answer to four decimal places.

a. 0.7499

b. 0.1251

c. 0.3071

d. 0.2501

e. 0.3001

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 3:54 AM

5. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 168 128 115 99 119 113

School B 123 142 110 110 120 122

Twin Pair 7 8 9 10 11 12

School A 120 121 132 145 138 117

School B 105 90 124 142 148 104

Suppose a sign test for matched pairs with a 10% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. State the conclusion of the test and interpret your results with a 10% level of significance.

a. Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.

b. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.

c. Since the P-value is less than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis.

d. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

e. Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 3:45 AM

6. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 170 155 134 78 116 123

School B 115 145 129 105 110 104

Twin Pair 7 8 9 10 11 12

School A 113 118 124 140 132 87

School B 102 82 116 130 145 112

Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. The sample test statistic is . Calculate the P-value. Round your answer to four decimal places.

a. 0.9164

b. 0.0418

c. 0.1096

d. 0.1336

e. 0.0836

ANSWER: e

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 3:49 AM

7. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 80 125 118 90 95 110

School B 83 135 115 105 105 113

Twin Pair 7 8 9 10 11 12

School A 88 82 115 144 124 96

School B 93 87 98 132 135 105

Suppose a sign test for matched pairs with a 12% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. State the conclusion of the test and interpret your results with a 12% level of significance.

a. Since the P-value is less than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis.

b. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

c. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.

d. Since the P-value is less than the given level of significance, the data are statistically significant. Based on this, we reject the null hypothesis.

e. Since the P-value is greater than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis.

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 3:52 AM

8. To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:

Twin Pair 1 2 3 4 5 6

School A 170 138 134 78 108 123

School B 115 145 129 105 110 104

Twin Pair 7 8 9 10 11 12

School A 113 118 124 140 132 87

School B 102 82 116 130 145 112

Suppose a sign test for matched pairs with a 12% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. The sample test statistic is , and the critical value is 0.58. State the conclusion of the test and interpret your results with a 12% level of significance.

a. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.

b. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

c. Since the P-value is less than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis.

d. Since the P-value is less than the given level of significance, the data are statistically significant. Based on this, we reject the null hypothesis.

e. Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.210 – Understand definition of level of significance

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 4:04 AM

9. A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead horse. The table shows the number of training sessions required before each horse performed the jumps properly.

Method A 25 21 47 29 37 20

Method B 41 23 46 42 35 44

Method A 45 24 27 31 34 49

Method B 26 43 39 32 40

Use a rank-sum test with a 9% level of significance to test the claim that there is no difference between the training sessions distributions. What is the level of significance α?

a.

b.

c.

d.

e.

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.211 – Use a rank-sum test in an application

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 4:14 AM

10. A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead horse. The table shows the number of training sessions required before each horse performed the jumps properly.

Method A 40 20 46 41 36 19

Method B 24 22 45 28 34 43

Method A 44 23 26 30 33 39

Method B 25 42 38 31 48

Use a rank-sum test with a 5% level of significance to test the claim that there is no difference between the training sessions distributions. Compute the sample test statistic, R, the rank-sum.

a. 137

b. 139

c. 136

d. 122

e. 135

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.211 – Use a rank-sum test in an application

NOTES: Application

DATE CREATED: 11/4/2013 2:10 AM

DATE MODIFIED: 11/7/2013 4:16 AM

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