Problem 4: (20 Points) We are examining two processes for machining a part. Process A produces parts which have a mean length of 100 and a standard deviation of 3. Process B produces parts which have a mean length of 105 and standard deviation 1. The design specifications for the part are 100 = 10. Calculate: 1. Cp for each process 2. Cpk for each process 2 3. The percentage of parts which are out of specification limits for each process or the probability of non-conformity (give the response as both a percentage and in ppm). 4. Are the two processes centered? If yes, to which specification limit are the distributions skewed? Assume that the distribution is normal with means and standard deviation as noted above. Hint: Use this assumption to estimate this percentage