Question: Observations from two random and independent samples, drawn from populations 1 and 2, are given here. Use the Wilcoxon rank sum test to determine whether

Observations from two random and independent samples, drawn from populations 1 and 2, are given here. Use the Wilcoxon rank sum test to determine whether population 1 is shifted to the left of population 2.

a. State the null and alternative hypotheses to be tested.
b. Rank the combined sample from smallest to largest. Calculate T1 and T*1.
c. What is the rejection region for Î± = .05?
d. Do the data provide sufficient evidence to indicate that population 1 is shifted to the left of population 2?

Sampl 1 3 2 3 5 Sample 2 4 7 6 86

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