To test the claim that there is no difference in the lifetimes of two brands of handheld video games, a researcher selects a sample of 11 video games of each brand. The lifetimes (in months) of each brand are shown here. At α = 0.01, can the researcher conclude that there is a difference in the distributions of lifetimes for the two brands?

Use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

Brand A 42 34 39 42 22 47 51 34 41 39 28 Brand B 29 39 38 43 45 49 53 38 44 43 32