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Six_Sigma-Homework5-10 - experimental data is shown in the...

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IE 7610 Fundamentals of Six Sigma Homework 5 - Due April 14 2010 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 3 replicates of a 2 3 factorial design are run. The results follow: Factors Tool Life A B C 1 2 3 -1 -1 -1 2 2 2 8 25 +1 -1 -1 3 2 4 3 36 -1 +1 -1 3 5 3 4 40 +1 +1 -1 5 5 4 7 52 -1 -1 +1 4 4 4 5 38 +1 -1 +1 4 0 3 7 36 -1 +1 +1 6 0 6 5 58 +1 +1 +1 4 9 4 1 47 a) Conduct an analysis of variance study to identify significant factors and interactions, as well as ranking of the significant effects. b) Draw main and interaction charts for significant effects/interactions. c) Derive the optimal machining condition for maximum tool life d) Write down a regression model to predict tool life under various machining conditions. 2. A 2 5-1 fractional factorial experiment is used to study the effects of these factors to the adhesion process, with defining relation I= ASMCT. The force to remove the plastic coating is used as the response, clearly, the larger the force, the better the adhesion effect. The
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Unformatted text preview: experimental data is shown in the following table: Factors Force A S M C T 1 2-1-1-1-1 +1 41. 5 41.9 + 1-1-1-1-1 39. 6 39.0-1 +1-1-1-1 43. 9 44.3 + 1 +1-1-1 +1 38. 8 37.9-1-1 +1-1-1 48. 7 49.3 + 1-1 +1-1 +1 52. 51.5-1 +1 +1-1 +1 55. 8 56.2 + 1 +1 +1-1-1 43. 2 43.7-1-1-1 +1-1 39. 5 39.2 + 1-1-1 +1 +1 42. 6 41.9-1 +1-1 +1 +1 44. 45.0 + 1 +1-1 +1-1 33. 8 33.1-1-1 +1 +1 +1 53. 6 53.9 + 1-1 +1 +1-1 48. 1 47.7-1 +1 +1 +1-1 51. 3 52.0 + 1 +1 +1 +1 +1 48. 7 49.2 a) Conduct an analysis of variance study to identify significant factors and interactions, as well as ranking of the significant effects. b) Draw main effect and interaction charts for significant effects/interactions. c) Derive the optimal process condition for maximum adhesion d) Write down a regression model to predict the force to remove plastic coating under various process conditions....
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