Chapter 12.2, Problem 4E

For Exercises 3 through 8, the null hypothesis was rejected. Use the Scheffe test when sample sizes are unequal or the Tukey test when sample sizes are equal, to test the differences between the pairs of means. Assume all variables are normally distributed, samples are independent, and the population variances are equal.

4. Exercise 12 in Section 12-1.

12. Weight Gain of Athletes A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains (in pounds) are shown here. At a = 0.05, can the researcher conclude that there is a difference in the diets?

Diet A	Diet B	Diet C
3	10	8
6	12	3
7	11	2
4	14	5
	8
	6

A computer printout for this problem is shown. Use the P-value method and the information in this printout to test the claim. (The information in this exercise will be used in Exercise 4 of Section 12-2.)