Please help with the following problem.
A data set contains 16 measurements as follows:
1525; 1561; 1541; 1532; 1499; 1551; 1554; 1528; 1514; 1548; 1534; 1505; 1500; 1538; 1529; 1519
the calculated mean = 1530 and the calculated std deviation = 19
The USL and LSL are respectively 1560 and 1510 and I, therefore, derive a CpK = 0.526
But what I do not know, and this is what the problem asks, is to explain the relationship between CpK and process sigma (for instance, why does a CpK of 1.33 equate to process sigma of 4)?
And in my example above, how would I equate my derived CpK to a process sigma value?
LSL, USL and CpK are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question. Step by step calculations are provided in the solution.