An engineer suspects that the surface finish of a metal part is influenced by th

Question

An engineer suspects that the surface finish of a metal part is influenced by the depth of cut (factor A) and the feed rate (factor B). She selects four depths of cut and three feed rates. She then conducts a factorial experiment and obtains the following data: (i=1,2,3,4 for Depth = 0.15, 0.18, 0.20, and 0.25, respectively; j=1,2,3 for Feed = 0.20, 0.25 and 0.30, respectively)   

a) What is the total value of Y, the response, for the cell i=3, and j=2
b) What is the mean of Y for the cell (i=4, j=3)

Cut (in) 0.20 82 Depth of Feed Rate (in/min) 0.15 0.18 0.25 74 64 60 79 68 73 104 96 0.20 92 92 86 98 104 104 110 0.25 108 95 104 114 108 110 98 102 0.30 95 107

Explanation / Answer

answer a)cell i=3(depth=0.2) and j=2 (feed=0.25) total value of Y is 99+108+95=302

answer b) for cell i=4 (depth=0.25) and j=3 (feed=0.3) the mean of Y=(114+111+107)/3=332/3=110.67

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