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26 May, 17:45

The specification for the diameter of the shaft used in a particular product are 17 cm ± 0.6 cm. The process that produces this shaft is known to be in a state of statistical control and to operate with a mean of 17.14 cm with a standard deviation of 0.2 cm. What is the Cpk for this process?

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  1. 26 May, 17:56
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    Cpk = 1.33

    Explanation:

    Upper tolerance limit = 8.5 cm

    Lower tolerance limit = 7.5 cm

    Cpu = (Upper tolerance limit-mean) / (3*standard deviation) = (8.5-7.98) / (3*0.12) = 1.44

    Cpl = (mean - Lower tolerance limit) / (3*standard deviation) = (7.98-7.5) / (3*0.12) = 1.33

    Cpk = Min (Cpu, Cpl) = 1.33
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