A manufacturing company produces door hinges for several automotive vehicles. A key characteristic of each door hinge is the position of the center locating hole relative to the other holes. As an engineer, you measure each hole as a deviation from nominal. Your specification is 0 +/- 0.8 mm, i.e., target = 0. Since numerous hinges are produced, the manufacturer maintains two sets of machines to laser Part # |Machine-A pierce the holes. Both machines are intended to be setup identically, however, some differences between these parallel processes have been observed in the past. Your sampling plan is as follows: Measure 1 part from Machine A every 4 hours. You have 30 parts total. Mean A: 0.0217 StDev (Within): 0.3858 StDev (Overall): 0.3759 (D O0 - O C A W N - 0.01 0. 15 -0.39 0.26 -0.21 -0.36 -0.24 0.05 0.51 10 -1.2 1. Calculate process capability: Cpk, Ppk 11 0.39 2. Assuming normal distribution, calculate DPM level (Expected Overall 12 -0. 11 Performance). Refer to Z value table if necessary. 13 0.32 Z - A - Mean 14 0.41 StDev X = USL or LSL 15 -0.41 16 0.06 3. Explain the cause of variation based on the process capability index values. 17 -0.15 4. Is this process (part production by machine A) stable? Explain by a chart. 18 0.23 19 0.12 20 0.29 21 0. 18 22 0.39 23 0.02 24 0.23 25 0.04 26 -0.61 27 0.02 28 0. 1 29 0.02 30 0.73