Use the Bonferroni test and (alpha=0.05) to compare each pair of means in Example 12-1. [H_{0}: mu_{1}=mu_{2}]

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Use the Bonferroni test and \(\alpha=0.05\) to compare each pair of means in Example 12-1.
\[H_{0}: \mu_{1}=\mu_{2}\]

Example 12-1

A researcher wishes to see if there is a difference in the fuel economy for city driving for
three different types of automobiles: small automobiles, sedans, and luxury automobiles.
He randomly samples four small automobiles, five sedans, and three luxury automobiles.
The miles per gallon for each is shown. At α = 0.05, test the claim that there is no difference
among the means. The data are shown.

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