a process with a one-sided specification has a Cpk of 0.22. What is the percentage of the production falls beyond the specification limit

≈ 25%

Explanation:

Given data:

Cpk = 0.22

Determine The percentage of production that falls beyond the specification limit ( assuming normal distribution )

first calculate the value of Z ;

Cpk = Z /3

hence Z = Cpk * 3 = 0.22 * 3 = 0.66

The percentage of the production can be determined by

( 1 - value obtained from the standard normal table for the value of Z =0.66 )

1 - 0.7454 = 0.2546  ≈ 25%

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