III. 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 company's top-of-the-line running shoes. The company's 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. a) Should you replace the existing machine which has a Cpk of 1.0? b) 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? c) What else can be considered to improve the Cpk?