Question: 5. C-Spec, Inc., uses an automatic machine to mill an engine part. Four samples have been taken to monitor the length (inch) of output. In

5. C-Spec, Inc., uses an automatic machine to mill an engine part. Four samples have been taken to monitor the length (inch) of output. In each sample, there are five observations.

Sample 1 2 3 4 4.05 3.95 4.03 3.84 4.25 4.21 3.95 3.95 4.12 3.97 4.13 4.02 3.85 3.91 3.89 4.18 3.92 4.15 3.88 4.17

a. Compute the upper and lower control limits of the mean chart using range.

b. Determine if the process is in control based on the control limits above. If not, explain why.

c. C-Spec, Inc., wants to determine whether the machine is capable of milling an engine that has a design specification of 4 +_ 0.1 inches. After several more trial runs on this machine, C-Spec has estimated that the machine has a sample mean of 4.02 inches with a standard deviation of 0.03 inch. Calculate the capability index Cpk for this machine. Should C-Spec use this machine to produce the engine?

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