2. The company in the previous example decides to test an 8-run full factorial design with the 3 factors at 2 levels. A brainstorming session conducted with the operator, supervisor, and engineer on the response resulted in the finished part being measured at 4 places. (Two measures were taken on each end 180 from each other.) The design and resultant response values were: Run RPM Feed Rate Tool Radius Surface Finish 1 588 .004 1/64 50, 50, 55, 50 2 588 .004 1/32 3 588 .008 1/64 4 588 .008 1/32 5 1182 .004 1/64 145, 150, 100, 110 160, 160, 155, 160 180, 200, 190, 195 60, 60, 60, 55 25, 35, 35, 30 160, 160, 160, 160 80, 70, 70, 80 6 6 1182 .004 1/32 7 1182 .008 1/64 8 1182 .008 1/32 a) Calculate the averages, effects, and half effects for all factors and interactions. Plot the average values for each factor. Generate a Pareto chart of the absolute value of each half effect. Which effects appear to be most important? b) 2. The company in the previous example decides to test an 8-run full factorial design with the 3 factors at 2 levels. A brainstorming session conducted with the operator, supervisor, and engineer on the response resulted in the finished part being measured at 4 places. (Two measures were taken on each end 180 from each other.) The design and resultant response values were: Run RPM Feed Rate Tool Radius Surface Finish 1 588 .004 1/64 50, 50, 55, 50 2 588 .004 1/32 3 588 .008 1/64 4 588 .008 1/32 5 1182 .004 1/64 145, 150, 100, 110 160, 160, 155, 160 180, 200, 190, 195 60, 60, 60, 55 25, 35, 35, 30 160, 160, 160, 160 80, 70, 70, 80 6 6 1182 .004 1/32 7 1182 .008 1/64 8 1182 .008 1/32 a) Calculate the averages, effects, and half effects for all factors and interactions. Plot the average values for each factor. Generate a Pareto chart of the absolute value of each half effect. Which effects appear to be most important? b)