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Estimating cpk


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We're looking at a job where the tightest feature tolerance is +/-0.040mm. The customer is requiring that we hold a 1.67 cpk. Does anyone have a calculator or formula where we can determine what the manufacturing tolerance (ucl/lcl) would need to be to hold the 1.67 cpk? I understand this technically requires actual data but we don't even have the job. We're just trying to determine if we should take the job.
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https://qualityforum.zeiss.com/topic/18648-estimating-cpk/
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