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.

Small Sedans Luxury 36 43 29 44 35 25 34 30 24 35 29 40