A process has a lower specification limit and no upper limit. The current process yield has 0.39% of everything below the lower limit. What is the capability (Cpk) of this process. options: 2.66 0.89 2.84 1.67
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Given : A process has a lower specification limit and no upper limit. The current process yield has 0.39% of everything below the lower limit
To find : capability (Cpk) of this process.
Solution:
The current process yield has 0.39% of everything below the lower limit
z score = -2.66
Z score = ( Value - Mean) / SD
=> -2.66 = ( Value - Mean) / SD
=> 2.66 = ( Mean - Value )/SD
Dividing both sides by 3
=> 0.886 = ( Mean - Value )/3SD
Cpk = (Mean - LSL)/3SD
=> Cpk = 0.886 = 0.89
capability (Cpk) of this process. is 0.89
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