Question: Answer the following: For the Dataset provided below, estimate the following : a) Cp b)

Answer the following: For the Dataset provided below, estimate the following :
a) Cp
b) Cpk (and make a statement on the approximate ppm level that this process generates)
2. For each of the estimates (Cp and Cpk) in the above question, develop the 95% CI for the PCR (15 points).
3. Calculate why (see the Santos, Day 1-Session 3 lecture, Montgomery's Table 7-2), for a PCR of 1.20, there are 318ppm defects for a two-sided specification. (Hint: as a way of doing this, create a process that yields a PCR of 1.20 and calculate the area outside of spec limits)
4. If PCR = 2.0, then (using Montgomery's Table 7-2) the two-sided specifications yield 0.0018ppm. Why then is it often stated that a "six-sigma" process has a 3.4ppm defect level? For example, see the slide after the Montgomery PCR table that shows various processes and their sigma-levels and shows a 6sigma level equating to a 3.4ppm defect rate .

Data:
15.0098 To the left are sample data drawn from a process trying to make parts
15.0100 according to these specifications (units in mm):
15.0101
15.0099 Target 15.0000 +/- 0.0005
15.0101
15.0099
15.0099
15.0099
15.0101
15.0101
15.0101
15.0099
15.0100
15.0099
15.0100
15.0100
15.0098
15.0099
15.0101
15.0101
15.0099
15.0099
15.0100
15.0099
15.0102
15.0098
15.0099
15.0101
15.0100
15.0099
15.0100
15.0100
15.0101
15.0100
15.0100
15.0101
15.0100
15.0100
15.0101
15.0101
15.0099
15.0099
15.0101
15.0101
15.0100
15.0100
15.0098
15.0099
15.0101
15.0100
15.0101
15.0100
15.0100
15.0100
15.0100
15.0100
15.0099
15.0102
15.0099
15.0098
15.0100
15.0101
15.0100
15.0099
15.0100
15.0099
15.0101
15.0100
15.0099
15.0100
15.0101
15.0100
15.0099
15.0100
15.0100

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