PartID Batch Period Time within Period Cavity Width 1 1 Start 1 141.14 2 1 Middle 1 139.23 3 2 Start 4 141.47 4 2 Middle 4 141.45 5 3 Start 1 140.49 6 3 Middle 1 140.16 7 4 Start 3 142.79 8 4 Middle 3 142.88 9 5 Start 4 141.05 10 5 Middle 4 140.87 11 6 Start 2 137.16 12 6 Middle 2 137.29 13 7 Start 1 140.62 14 7 Middle 1 139.67 15 8 Start 1 138.90 16 8 Middle 1 138.95 17 9 Start 4 137.31 18 9 Middle 4 138.44 19 10 Start 1 139.64 20 10 Middle 1 140.60 21 11 Start 3 143.07 22 11 Middle 3 142.85 23 12 Start 1 139.08 24 12 Middle 1 138.26 25 13 Start 4 137.61 26 13 Middle 4 140.24 27 14 Start 3 142.80 28 14 Middle 3 143.60 29 15 Start 1 141.54 30 15 Middle 1 138.54 31 16 Start 2 137.01 32 16 Middle 2 136.23 33 17 Start 1 137.98 34 17 Middle 1 141.90 35 18 Start 3 143.87 36 18 Middle 3 142.89 37 19 Start 1 140.13 38 19 Middle 1 138.87 39 20 Start 4 138.95 40 20 Middle 4 140.70 41 21 Start 3 143.90 42 21 Middle 3 142.54 43 22 Start 2 138.00 44 22 Middle 2 137.16 45 23 Start 1 138.07 46 23 Middle 1 139.10 47 24 Start 4 138.81 48 24 Middle 4 140.11 49 25 Start 2 137.82 50 25 Middle 2 137.51

Section 2. Injection Molding Process An injection molding process is used to produce parts with a critical width dimension. Parts are produced in four different cavities. Thus, for each mold operating cycle, four individual parts are produced simultaneously. Currently, the production department randomly selects 2 parts per 4- hour period (parts may be taken from any of the 4 cavities) and measures the width dimension for each part sampled. One part is taken at the start of the 4-hour period, and another 1s measured in the middle of the period. For each part measured, they also record the cavity. Given the available data, use appropriate tools to assess the stability of the process and also the current state in terms of PPM Defective/Yield to answer the following questions. Assume Part Width Specification is 140 + 3 mm (Seek Yield 99%) Question 5 Given the current state process data, which of the following may be reasonably concluded about the stability of this process using an appropriate control chart? a Based on I-MR Charts, the process is stable (UCL for Individual Chart = 144.1) b. Based on X-bar/Range Charts (where subgroup size = 2 per period), this process is stable (UCL for X-bar Chart = 141.997) c. Based on IJ-MR Charts, this process had out-of-control conditions (non-random pattern of behavior) and thus is not stable d. Based on X-bar/Range Charts (where subgroup size = 2 per period), this process exhibited one mean out-of-control condition