(a) Illustrate the partitioning of the sums of squares in the ANOVA by calculating the complete ANOVA table for the following data. To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded.

(b) Analytically verify the partitioning of the ANOVA sums of squares by completing the proof of Theorem 11.2.11.
(c) Illustrate the relationship between the t and F statistics, given in Exercise 11.12(b), using the data of part (a).

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Diet protein level Low Medium High 3.89 8.54 20.39 3.87 9.32 24.22 3.26 8.76 30.91 2.70 9.3022.78 3.82 10.45 26.33