012 (10 marks): A quality engineer for a plastic parts company monitors an injection molding process. A machine has a die that creates five parts at one time. The engineer collects three subgroups of ten parts each. The engineer monitors both the within-subgroup variation between parts that are created at the same time and the between-subgroup variation between the batches. Observations X10 * 5 Subgroup Xi 1 12.295 2 12.003 311.815 X2 3 X4 12.507 12.221 11.639 11.709 12.239 11.528 12.398 12.132 | 12.530 Xs X6 X7 Xs Xo 12.570 12.456 12.231 12.423 12.306 12.279 11.824 11.949 11.638 12.001 12.327 11.733 11.987 | 12.039 12.597 11.880 11.931 12.163 a) Use the X-s control chart to analyze and stabilize the process. This exam should be handwritten. Show all necessary calculations