6.2 An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows:
Treatment Combination
(1): 22, 31, 25
a: 32, 43, 29
b: 35, 34, 50
ab: 55, 47, 46
c: 44, 45, 38
ac: 40, 37, 36
bc: 60, 50, 54
abc: 39, 41, 47
(a) Estimate the factor effects. Which effects appear to be large?