1. For a process quality characteristics, the specification limits are 0.4037 +/- 0.0013 (that is from 0.4024 to 0.4050). The following data gives the data for 14 measurement data sets, each data set is a subgroup of 5 measurement. The value is recorded in the units of 0.0001 (that is, the specification limit will be considered 24 to 50) Based on the following data, compute Cp, Cp, P, and Ppk.(Use MINITAB is ok) Subgrou Subgrou P # 2 3 5 P # 2 3 5 1 36 35 34 33 32 8 34 38 35 34 38 2 31 31 34 32 30 9 36 35 37 34 33 3 30 30 32 30 32 10 30 37 33 34 35 4 32 33 33 32 35 11 28 31 33 33 33 5 32 34 37 37 35 12 33 30 34 33 35 6 32 32 31 33 33 13 35 36 29 27 32 33 33 36 32 31 14 33 35 35 39 36 2. The following table listed 25 subgroups of measurement data with group size 3: # c1 c2 C3 # c1 c2 C3 N K 50.3175 50.1224 50.4081 14 49.4319 50.1432 49.2045 49.5077 49.7629 49.4091 15 50.3789 50.2715 50.5952 3 19.3587 49.639 49.5229 16 48.6722 49.1436 49.1306 4 49.5005 49.5897 49.7904 17 49.5332 50.4829 50.0007 5 47.911 49.5549 48.6716 18 49.4866 47.9221 50.4324 6 49.8851 49.8281 49.8762 19 48.6924 50.1697 49.8926 49.9994 50.6484 50.4223 20 50.8253 50.7303 50.8569 49.58 49.4764 49.7899 21 50.3306 49.8906 49.5988 9 51.106 50.2333 50.4464 22 49.9728 51.6716 50.7228 10 50.7538 49.9355 51.4371 23 50.5934 50.7355 49.3386 11 49.7322 49.6442 50.2943 24 49.5547 49.7753 49.7181 12 48.5373 51.9875 48.6112 25 51.3211 48.048 51.7502 13 48.6753 48.9048 49.3312 (a) The specification limits are 49 +/- 3. Assume that the data is normally distributed! Estimate process capability ratio's (Cp, Cpk, Pp, Ppk). Is the process capable? (b) If the specification limits were 51 +/- 3. Re-calculate process capability ratio's (Cp, Cpk, Pp, Ppk). Is the process still capable? (c) Comment on the difference between Cp and Cpk ratios