A private industry analyst claims that there is no difference in the salaries earned by workers in the wholesale trade and manufacturing industries. The table shows the salaries (in thousands of dollars) of a random sample of 10 wholesale trade workers and 10 manufacturing workers. At \(\alpha=0.10\), can you reject the analyst's claim?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\).

(b) decide whether to use a Wilcoxon signed-rank test or a Wilcoxon rank sum test.

(c) find the critical value(s).

(d) find the test statistic.

(e) decide whether to reject or fail to reject the null hypothesis.

(f) interpret the decision in the context of the original claim.

Transcribed Image Text:

74 72 58 64 52 Wholesale trade 70 66 65 80 62 69 73 Manufacturing 71 67 56 74 54 65 76 77