Use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of these steps.

1. State the hypotheses and identify the claim.
2. Find the critical value.
3. Compute the test value.
4. Make the decision.
5. Summarize the results.

Winning baseball Games

For the years 1970-1993 the National League (NL) and the American League (AL) (major league baseball) were each divided into two divisions: East and West. Below are random samples of the number of games won by each league's Eastern Division. At = 0.05, is there sufficient evidence to conclude a difference in the number of wins?

NL	89	9	8	101	90	91	9	96	108	100	9
		6	8				2				5
AL	108	8	9	97	100	102	9	104	95	89	8	101
		6	1				5				8

Lengths of prison Sentences

A random sample of men and women in prison was asked to give the length of sentence each received for a certain type of crime. At = 0.05, test the claim that there is no difference in the sentence received by each gender. The data (in months) are shown here.

Males	8	12	6	14	22	27	3	2	2
							2	4	6
Females	7	5	2	3	21	26	3	9	4
							0