8. A robot is programmed to inject 12.02 grams of red dye into a gallon of paint. Twenty observations show that the following amounts (in grams) were injected into the 1-gallon containers. 12.03, 12.04, 12.02, 12.05, 1206,1202, 12.06, 12.07, 12.05, 12.04, 1202,1207, 1205,1206, 12.03, 12.05, 1206,1204, 1205, 12.06, 12.04, 12.06, 12.05, 12.07 (a) Set up a (tabular) CUSUM chart to detect the shift when the mean amount the robot injects drifts to 12.03 grains. (b) Does the data indicate that the mean has shifted to 12.03 grams? Take H = 4.56. 9. Draw the EWMA control chart for the data presented in the previous problem. Use A : 0.8. Does the EWMA control chart indicate that the robot is out of control? 10. Draw the moving average control chart for the data in Problem 8 using a Window of size 5. Use the data to estimate the necessary population parameters. Assume that the data is normally distributed. We want to restrict the Type I error to be less than 1%. Does the moving average chart indicate that the process is in control?|