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Chapter 2: Q13-6OQ (page 339)

Question: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 6 .003 inches. 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 .002 inches.

a. Calculate the Cpk for this machine.

b. Should C-Spec use this machine to produce this part? Why?

Short Answer

Expert verified

Answer

The formula required =Cpk=minUSL-x-bar3sigma,x-bar-LSL3sigma

Step by step solution

01

Step-by-Step Solution Step 1: (a) Calculate the Cpk for this machine

Cpk=min4.003-4.00130.002,4.001-3.99730.002

Cpk=min0.333,0.667=0.333

02

(b) Should C-Spec use this machine to produce

No, themachine is not capableof producing the part at the desired quality level.

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