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Computing CP and CPK (Means)

Proper smoking of meat requires maintaining a smoker temperature in the range 200 to 225 degrees Fahrenheit. Suppose the temperature in my smoker currently varies around a mean m = 210 degrees, with standard deviation s = 4 degrees.

1.Compute Cp and Cpk for this process and interpret.

2.Leaving the mean at 210 degrees, what standard deviation is required in order to have my process Cpk = 1.33? What standard deviation is required to have Cpk = 2.0?

3. Suppose the process mean could be centered between the specification limits. Now what standard deviation is required to have Cp =

1.33? What standard deviation is required to have Cp = 2.0? (Note, when the mean is centered between the specification limits, Cp and Cpk are equal.)

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