Problem 12.9 In a weight loss experiment men were given one of three different diets: 10 men followed diet A, 7 men followed diet B, and 8 men followed diet C. The weight losses after one month are displayed in the following table. Notice that the observations at each factor level now appear as columns instead of rows. The question to be decided is whether or not the mean weight loss is the same for each of these diets. Weight loss (lbs) Diet A Diet B Diet C 15.3 3.4 11.9 2.1 10.9 13.1 8.8 2.8 11.6 5.1 7.8 6.8 8.3 0.9 6.8 10 5.2 8.8 8.3 2.5 12.5 9.4 17.5 12.5 11.1

(a) Identify the factor, the number of levels, and the response variable.

(b) State the null hypothesis.

(c) Construct the ANOVA table and test at the level α = 0.05 whether the three diets produce the same weight loss. Save your computations.