Question

# C-Spec, Inc. is attempting to determine whether an existing machine is capable of milling an engine...

C-Spec, Inc. is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.02 inche. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.020 inch.

a. Calculate the Cpk for this machine. (round to 3 decimal places)

The process capability index () of a machine is given by,

Given,

Upper specification = 4 + 0.02 inches = 4.02 inches

Lower specification = 4 - 0.02 inches = 3.98 inches

Sample mean () = 4.001 inches

Standard deviation () = 0.020 inches

Putting the values we get,

=>

=>

=>

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We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

Cpk = Minimum of 4.001 – 3.98 4.02 – 4.001. 3 * 0.020 3 * 0.020

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

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