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hw2 3039

# hw2 3039 - ISyE 3039 A Homework 2 Due Use JMP to solve...

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ISyE 3039 A Homework 2 Due February 14, 2008 Use JMP to solve problems 1, 2, and 3. Attach the relevant outputs from JMP to get full credit. 1. 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 follow: A B C y 1 -1 -1 -1 22,31,25 2 -1 -1 1 32,43,29 3 -1 1 -1 35,34,50 4 -1 1 1 55,47,46 5 1 -1 -1 44,45,38 6 1 -1 1 40,37,36 7 1 1 -1 60,50,54 8 1 1 1 39,41,47 a) Estimate the factor effects. Which effects appear to be large? b) What levels of A, B, and C would you recommend? 2. In a process development study on yield, four factors were studied, each at two levels: time (A), concentration (B), pressure (C), and temperature (D). A single replicate of a 2 4 design was run, and the resulting data are shown below: A B C D y 1 -1 -1 -1 -1 17 2 -1 -1 -1 1 11 3 -1 -1 1 -1 16 4 -1 -1 1 1 9 5 -1 1 -1 -1 18 6 -1 1 -1 1 13 7 -1 1 1 -1 16 8 -1 1 1 1 9 9 1 -1 -1 -1 16 10 1 -1 -1 1 16 11 1 -1 1 -1 18 12 1 -1 1 1 15 13 1 1 -1 -1 17 1

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14 1 1 -1 1 15 15 1 1 1 -1 14 16 1 1 1 1 14 a) Estimate the factor effects. Which effects appear to be large?
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