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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Small Sedans Luxury 36 43 29 44 35 25 34 30 24 333 35 29 40