Use the Scheff test to test each pair of means in Example 12-1 to see if a

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Use the Scheffé test to test each pair of means in Example 12-1 to see if a significant difference exists between each pair of means. Use \(\alpha=0.05\).

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 \(\alpha=0.05\), test the claim that there is no difference among the means. The data are shown.

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