Problem:
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 inch.
Question 1) Calculate the Cpk for this machine.
Question 2) Should C-Spec use this machine to produce this part? Why?
Solve the given numerical problem and illustrate step by step calculation.