The table shows the starting salaries for a random sample of college graduates in four fields of engineering. At \(\alpha=0.05\), can you conclude that the distribution of the starting salaries in at least one field of engineering is different from the others?

Use the Kruskal-Wallis test to test the claim by doing the following.

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

(b) Find the critical value and identify the rejection region.

(c) Find the test statistic \(H\).

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

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Field of engineering Starting salary (in thousands of dollars) Chemical 68.4 65.9 71.7 70.5 64.3 69.9 67.5 65.7 69.4 71.1 Computer 68.2 67.6 65.8 66.4 69.5 72.6 67.0 70.2 68.5 66.4 Electrical 66.9 65.5 66.1 64.4 67.6 67.3 68.9 68.1 67.1 67.4 Mechanical 65.5 64.8 65.6 63.7 65.6 65.3 68.1 68.6 64.9 62.7