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Business Mathematics and Statistics · Ch 9 — Applied Statistics (Time Series, Index Numbers, Statistical Quality Control)

Tolerance Limits and Control Limits

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Tolerance Limits and Control Limits

Students often confuse control limits with tolerance (or specification) limits, but the two answer completely different questions and come from completely different sources.

Control LimitsTolerance Limits
What they measureWhether the process itself is behaving consistently (chance causes only)Whether an individual finished item is fit for use
Where they come fromCalculated from the process's own data (Xˉˉ\bar{\bar{X}}, Rˉ\bar{R}, and factors like A2A_2, D3D_3, D4D_4)Fixed externally by the design/engineering specification or the customer's requirement
What they are plotted onSample statistics (Xˉ\bar{X}, RR)Individual measured items
Question answered"Is the process stable and predictable?""Is this particular item acceptable?"
Definition 25Tolerance (Specification) Limits

The maximum and minimum values of a product characteristic that are acceptable to the designer or customer, fixed independently of the process's …