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# Six Sigma Analysis: Tolerance Limits and Cpk

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Suppose one of the key dimensions of U-bolts manufactured for a particular customer is 10.75 +/- 0.25. To qualify the process, you built 120 u-bolts and obtained the following data.

Statistic U-Bolt Measurement

Mean 10.717
Standard Error 0.00793
Median 10.7
Mode 10.65
Standard Deviation 0.0868
Sample Variance 0.007541842
Kurtosis -0.537525
Skewness -0.0420018
Range 0.04
Minimum 10.5
Maximum 10.9
Sum 1286.05
Count 120

(a) Estimate the likelihood that a U-bolt will be produced with a measurement that exceeds the upper tolerance limits.

(b) Since the process mean is not centered between the tolerance limits, compute Cpk

(c) Interpret the results from (ii), and comment about the capability of this process to meet customer requirements?

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Problem: Suppose one of the key dimensions of U-bolts manufactured for a particular customer is 10.75 +/- 0.25. To qualify the process, you built 120 u-bolts and obtained the following data.

Statistic U-Bolt Measurement

Mean 10.717
Standard Error 0.00793
Median 10.7
Mode 10.65
Standard Deviation 0.0868
Sample Variance 0.007541842
Kurtosis ...

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