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Chapter 9, Problem 10E(choose chapter or problem)
From the box-and-whisker diagrams in Figure 9.3-1, it looks like the means of \(X_1\) and \(X_2\) could be equal and also that the means of \(X_3, X_4\), and \(X_5\) could be equal but different from the first two.
(a) Using the data in Example 9.3-2, as well as a t test and an F test, test \(H_0: \mu_1 = \mu_2\) against a two-sided alternative hypothesis. Let \(\alpha = 0.05\). Do the F and t tests give the same result?
(b) Using the data in Example 9.3-2, test \(H_0: \mu_3 = \mu_4 = \mu_5\). Let \(\alpha = 0.05\).
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