Please just answer part C and D. I already got a response for A and B.

(20 pts) Problem 1. Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are collected, and the compressive strengths in psi) are shown in the Table 1. (a) Establish X and R control charts for compressive strength using these data. Is the process in statistical control? (b) After establishing the control charts in part (a), 15 new subgroups were collected and compressive strengths are shown in Table 2. Plot the X and R values against the control units from part (a) and draw conclusions. (c) Redo both parts (a) and (b) using X and S charts. (d) Does the S chart detect the shift in process variability more quickly than the R chart did originally in part (b)? Table 1 Table 2 Sample Number .X2 X3 X4 X5 Sample Number X1 12 X4 X5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 x' 83.0 88.6 85.7 80.8 83.4 75.3 74.5 79.2 80.5 75.7 80.0 80.6 82.7 79.2 85.5 78.8 82.1 84.5 79.0 84.5 81.2 78.3 75.8 74.4 78.4 79.9 78.0 84.4 86.2 75.2 81.5 81.8 81.3 74.9 82.1 79.6 78.2 76.9 77.8 73.1 78.7 78.8 84.3 82.5 82.6 87.3 80.8 81.5 76.2 71.1 78.4 79.3 79.1 78.6 82.8 80.2 75.5 83.5 81.2 78.6 75.7 71.0 75.2 74.1 78.2 89.7 73.4 86.0 64.1 82.1 73.8 73.8 82.0 77.7 73.4 79.1 78.2 81.2 84.4 78.7 77.0 84.2 81.0 75.7 78.9 81.8 79.7 74.5 80.2 74.3 78.1 81.7 79.5 75.3 71.7 80.8 82.1 79.2 81.6 80.6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 68.9 81.5 69.8 68.6 78.5 85.2 76.986.1 93.6 81.6 65.5 86.8 78.1 65.7 74.9 72.6 78.1 77.1 78.7 85.4 85.0 60.2 86.4 79.2 78.5 99.0 68.8 62.0 83.0 83.7 78.2 80.4 78.4 86.9 87.8 72.4 83.7 81.6 67.0 77.7 68.5 79.8 78.3 82.0 73.1 80.8 84.3 80.3 94.4 79.6 82.6 93.7 87.2 75.7 90.7 71.1 86.0 71.4 77.5 82.2 81.5 83.9 81.7 83.9 71.0 71.4 93.4 72.7 76.8 76.7 82.4 75.4 81.8 76.1 95.3