A college administrator claims that there is a difference in the earnings of people with bachelor's degrees and those with advanced degrees. The table shows the earnings (in thousands of dollars) of a random sample of 11 people with bachelor's degrees and 10 people with advanced degrees. At \(\alpha=0.05\), is there enough evidence to support the administrator'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.

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Bachelor's degree 62 58 71 84 78 58 52 64 68 60 62 Advanced degree 88 91 99 85 90 91 98 98 95 87