A teacher's union representative claims that there is a difference in the salaries earned by teachers in Wisconsin and Michigan. The table shows the salaries (in thousands of dollars) of a random sample of 11 teachers from Wisconsin and 12 teachers from Michigan. At \(\alpha=0.05\), is there enough evidence to support the representative'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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Wisconsin 55 59 49 56 51 61 55 61 53 47 52 Michigan 61 65 55 62 57 67 61 67 59 5:3 58 76