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keisanHigh-precision calculations for everyday life and work

Process Capability Index (Cp, Cpk)

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Calculates process capability indices Cp and Cpk.
Data (
Table Input) 
No
1
2
3
4
5
Lower Specification Value
Upper Specification Value
Mean43.82
Variance0.8616
Standard Deviation σ0.9282241109
3σ2.784672333
6σ5.569344665
Cp (Process Capability Index)1.79554339
Cpk (Process Capability Index)1.37179515
If Cp and Cpk are equal to 1, this indicates that the variation of μ ± 3σ matches the specification limits; however,
generally, the optimal values for Cp and Cpk are considered to be 1.33 (±4σ).

\(\normalsize Process\ capability\ index\\ USL:\ Upper\ specification\ limit\\ LSL:\ Lower\ specification\ limit\\ \normalsize C_{p} = \large \frac{USL-LSL}{6 \sigma}\\ \normalsize C_{pk} = \large \min \left[ \frac{USL-\mu}{3\sigma},\frac{\mu-LSL}{3\sigma} \right] \\ \)


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