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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 1.002 inches with a standard deviation of 0.0025 inch. Is this process capable?

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Answer:

the process capability index is 0.002 and Since the capability index is < 1, therefore the process is not capable of producing the desired result.

Explanation:

Formula to calculate process capability index is given below-

…… (1)

Here

Mean () = 1.002

Lower specification limit (LSL) =

Upper specification limit (USL) =

Standard deviation () = 1.002 inch

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