Refer to Exercise 12-19. Consider the following two contrasts of totals: (1) difference between the totals for training programs 1 and 3; (2) difference between the totals for the sum of training programs 1 and 3 and twice that of training program 2.
(a) Find the sum of squares due to each of these two contrasts.
(b) What null hypothesis is indicated by contrast (2)? Test the hypothesis at a level of significance of 0.05, and explain your conclusions.

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Training Programs Years of Experience 0-5 5-10 10-15 70 75 87 65 80 82 81 87 94