Question

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

Answer 1

≈ 25%

Step-by-step 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%