Question

1. Suppose that weekly expenses for two student organizations are thought to be similar. A random sample of 10 weeks yields the following weekly expenses for each organization:

Organization A           Organization B

     $ 119.25                      $ 111.99

     $ 123.71                      $ 116.62

     $ 121.32                      $ 114.88

    $ 121.72                      $ 115.38

     $ 122.34                      $ 115.11

     $ 122.42                      $ 114.40

     $ 120.14                      $ 117.02

     $ 123.63                      $ 113.91

     $ 122.19                      $ 116.89

     $ 122.44                      $ 121.87

Use a Wilcoxon Rank Sum Test to determine whether expenses differ for the two organizations. Test at the 0.05 level.

Answer 1

H0: There is  expenses no differ for the two organizations

H1: There is  expenses differ for the two organizations

Let the los be alpha = 0.05

From the given data

A	B	R1	R2
119.25	111.99	10	1
123.71	116.62	20	7
121.32	114.88	12	4
121.72	115.38	13	6
122.34	115.11	16	5
122.42	114.4	17	3
120.14	117.02	11	9
123.63	113.91	19	2
122.19	116.89	15	8
122.44	121.87	18	14
	Total:	151	59
	Count	10	10

Since p-value < alpha 0.05 so we reject H0

Thus we conclude that  there is  expenses differ for the two organizations