The number of grams of fat per serving for three different kinds of pizza from several manufacturers is listed below. At the 0.01 level of significance, is there sufficient evidence that a difference exists in mean fat content?

If the null hypothesis is rejected, use the Scheffé test when the sample sizes are unequal to test the differences between the means, and use the Tukey test when the sample sizes are equal. Perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results, and explain where the differences in means are.
Use the traditional method of hypothesis testing unless otherwise specified.

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Cheese Pepperoni 20 17 15 Supreme/Deluxe 16 27 17 17 12 27 20 18 19 20 16 21 16 23 23 21