Question: Cpk (Process Capability Index) of capable processes are ones with a ratio/index of 1.33 (4 sigma) or greater. (25 points) You are the process improvement

Cpk (Process Capability Index) of capable processes are ones with a ratio/index of 1.33 (4 sigma) or greater. (25 points)

You are the process improvement manager and have developed a new machine to cut insoles for the companys top-of-the-line running shoes. The companys goal is no more than 3.4 defects per million. The insoles cannot be more than +/- .001 of an inch from the thickness specification of .250. The new process has a mean = .250 inch and a standard deviation = .0005 inch.

Should you replace the existing machine which has a Cpk of 1.0?

If the insoles can be +/- .002 (instead of .001) from the required .250, what is new the Cpk and would you replace the existing machine?

What else can be considered to improve the Cpk?

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