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In another comparison of study guides A and B, the following scores were obtaine

ID: 3275684 • Letter: I

Question

In another comparison of study guides A and B, the following scores were obtained (out of 100): Study Guide A: 82 92 84 77 90 85 Study Guide B: 68 77 70 63 77 71 65 Use the Wilcoxon test to test the null hypothesis that the distributions of scores are the same for each study guide, against the two-sided alternative that the distributions are different Calculate W, the observed sum of ranks of the study guide A scores. 491 3 pts)] Submit Answer Incorrect. Tries 2/3 Previous Tries 2 pt(s)] What is the mean of W, under the null hypothesis? Submit Answer Tries 0/3 What is the variance of W, under the null hypothesis? 12 pt(s)l Submit Answer Tries o/3 Calculate the standardized test statistic. 3 pt(s)) Submit Answer Tries o/3 Which of the statistical tables should you use? O t-distribution z-distribution X"-distribution [1 pt(s)] Submit Answer Tries of1 Calculate the p-value for the test 13 pt(s)] Submit Answer Tries o/

Explanation / Answer

Answer:

a). Observed sum of ranks of study guide A = 62

b). Mean of W= 42

c). Variance of W = 49

d). standard test statistic =2.857

e). z distribution

f). P=0.0043

Wilcoxon - Mann/Whitney Test

n

sum of ranks

6

62

A

7

29

B

13

91

total

42.000

expected value

7.000

standard deviation

2.857

z

.0043

p-value (two-tailed)

No.

Label

Data

Rank

1

A

82

9

2

A

92

13

3

A

84

10

4

A

77

7

5

A

90

12

6

A

85

11

7

B

68

3

8

B

77

7

9

B

70

4

10

B

63

1

11

B

77

7

12

B

71

5

13

B

65

2

Wilcoxon - Mann/Whitney Test

n

sum of ranks

6

62

A

7

29

B

13

91

total

42.000

expected value

7.000

standard deviation

2.857

z

.0043

p-value (two-tailed)

No.

Label

Data

Rank

1

A

82

9

2

A

92

13

3

A

84

10

4

A

77

7

5

A

90

12

6

A

85

11

7

B

68

3

8

B

77

7

9

B

70

4

10

B

63

1

11

B

77

7

12

B

71

5

13

B

65

2

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