A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand

Question:

A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. A portion of the data is shown in the accompanying table.

Brand A..................... Brand B

16................................... 16

14................................... 20

⋮....................................... ⋮

18...................................17

a. Specify the competing hypotheses to test whether the median length of life differs between the two brands.

b. Calculate the value of the Wilcoxon rank-sum statistic W.

c. Calculate the value of the test statistic, assuming that the sampling distribution of W is approximately normal.

d. With α = 0.05, does median longevity differ between the two brands? Explain.

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