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Explain the relationship between cpk and process sigma

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Q: 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

Explain the relationship between CpK and process sigma (for instance, why does a CpK of 1.33 equate to process sigma of 4)?

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