# Statistic sign test & Wilcoxon signed-rank test

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Use the following data set for parts A& B

Treatment Group 1 Treatment Group 2

97 96

88 86

75 79

90 89

85 91

94 89

77 86

89 99

82 94

90 96

A. Perform the sign test to analyze the difference in the matched pairs. It is not important what the numbers mean.

B. Perform the Wilcoxon signed-rank test on the same data.

For C & D, use the following independent data:

Group A (n=16): 92, 74, 35, 90, 61, 45, 71, 67, 54, 72, 73, 44, 77, 54, 63, 62

Group B (n=20): 49, 40, 32, 54, 36, 26, 47, 14, 71, 88, 58, 35, 58, 36, 51, 53, 22, 51, 20, 38

C. Perform the Wilcoxon rank-sum test on the independent data.

D. Calculate the mean and standard deviation of each group in the independent data. Test the null hypothesis that the means of the two groups are equal.

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