Question: A lathe (turning) operation was designed to have an Upper Specification Limit (USL) of 7.512 centimeters (cm) and a Lower Specification Limit (LSL) of 7.488

A lathe (turning) operation was designed to have an Upper Specification Limit (USL) of 7.512 centimeters (cm) and a Lower Specification Limit (LSL) of 7.488 cm. Assume this process has been run under controlled conditions so that no assignable causes of variation have been introduced. The outside diameter of each sampled part was measured and the operator found that the process mean (x-bar) is 7.50 cm with a standard deviation () of 0.005 cm. What is the Cpk value (process capability index)?

a. 0.08

b. 0.48

c. 1.00

d. 4.80

e. 0.80

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