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27 March, 20:58

A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.01 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.003 inches with a standard deviation of 0.002 inches.

Calculate the process capability index for this example.

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  1. 28 March, 00:49
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    0.25

    Explanation:

    Process Capability measures the efficiency of a process

    It is given by this equation

    Cp = (USL-LSL) / 6σ

    Where USL is the upper Specification Limit = 1.003

    and LSL is the Lower Specification Limit = 1 inch

    σ is the standard deviation = 0.002 inches

    Therefore

    Cp = (1.003 - 1) / 6 * 0.002

    =0.003/0.012

    Cp = 0.25
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