Statistics Problems - 10

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9. Award: 0.20 points    

Eight observations were randomly selected from populations that were not necessarily normally distributed. Use the 0.05 significance level, a two-tailed test, and the Wilcoxon rank-sum test.

Population A: 38 45 56 57 61 69 70 79 Population B: 26 31 35 42 51 52 57 62

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State the decision rule. Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)

H0: The distributions are the same.

H1: The distributions are not the same.

Reject H0 if z < or z > .

Complete the following table. (Round your answer to 1 decimal places.)

A B Score Rank Score Rank

38 26

45 31

56 35

57 42

61 51

69 52

70 57

79 62

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What is the Wilcoxon rank-sum test value? (Round your answer to 3 decimal places.)

z =

What is your decision regarding H0? Is there a difference between the two populations?

H0 is . There is between the two populations.

References

Worksheet Difficulty: 2 Intermediate

Learning Objective: 16-04 Test a hypothesis of independent populations using the Wilcoxon rank-sum test.