Question

Group A:

60, 57, 53, 42, 44, 48, 54, 39, 52, 45

Group B:

50, 49, 60, 55, 43, 56, 53, 69, 49, 52

Using Wilcoxen Rank Sum test to test a difference in the medians of the two populations using

Alpha= 0.05 n1=10 n2= 10

Answer 1

Formula for calculating u value

Sample 1
Sum of ranks: 90.5
Mean of ranks: 9.05
Expected sum of ranks: 105
Expected mean of ranks: 10.5
U-value: 64.5
Expected U-value: 50

Sample 2
Sum of ranks: 119.5
Mean of ranks: 11.95
Expected sum of ranks: 105
Expected mean of ranks: 10.5
U-value: 35.5
Expected U-value: 50

Sample 1 & 2 Combined
Sum of ranks: 210
Mean of ranks: 10.5
Standard Deviation: 13.2288

The U-value is 35.5. The critical value of U at p < .05 is 23. Therefore, the result is not significant at p < .05.

The z-score is -1.0583. The p-value is .28914. The result is not significant at p < .05.

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