The following x: measurements are obtained hourly in a chemical process. The target value is ,u = 50 and the standard deviation 0'= 4. A CUSUM chart is built based on the physical measurements (NOT a standardized CUSUM chart). Sample # Xi C+ N+ C' N' 1 49.5 0 0 0 0 2 48 0 0 0 0 3 46.2 0 0 1.8 1 4 47.5 0 0 2.3 2 5 46.8 0 0 |:| 3 6 49 0 0 2.5 4 7 51.5 0 0 0 0 8 54 2 1 0 0 9 52.7 2.7 2 0 0 10 55.5 6.2 3 0 0 11 51.2 5.4 4 0 0 12 50.4 3.8 5 0 0 13 58 :l 6 0 0 14 56.2 14 7 0 0 15 58.5 20.5 8 0 0 16 48 16.5 9 0 0 17 50 14.5 10 0 0 18 42 4.5 11 6 1 19 46.2 0 0 7.8 2 20 51 0 0 4.8 3 (a) Based on the data in the CUSUM chart, what is the slack value K? (You cannot assume lFl/Z. You must nd K based on the data in the table. Show your steps). (5 points) (b) Fill in the two blanks. (Show your steps) (6 points) (c) Based on this 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 shift started (5 points), and estimate the magnitude of this mean shift. (6 points)