Problem 4 (25 points) The following data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as = 1.1. (a) Using k = 0.5 and h =5, build a tabular CUSUM to quickly detect a shift of about 10 in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started. (b) Estimate the magnitude of the mean shift and calculate the 8 = - . i xi xi 1 8.45 16 9.58 2 7.99 17 10.62 3 9.29 18 10.21 4 9.66 19 9.52 5 12.16 20 10.84 6 10.18 21 10.9 7 8.04 22 9.33 8 11.46 23 12.58 9 9.2 24 11.5 10 9.34 25 11.6 11 9.03 26 11.08 12 11.47 27 10.38 13 10.51 28 11.62 14 9.4 29 11.31 15 10.08 30 10.52