Question: C-Spec, Inc., is attempting to determine whether an existing machine is capable of producing a part that has a key specification of 4.550 .003 inches.

  1. C-Spec, Inc., is attempting to determine whether an existing machine is capable of producing a part that has a key specification of 4.550 .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.552 inches with a standard deviation of .001 inch.
    1. Calculate the process capability index (Cpk) for this example.

(4.003-4.001/3*.002,4.001-3.997/3*.002= 0.333

  1. Determine the probability of producing a defect.

.02275+.15866=18.14 percent

  1. Calculate the DPMO of the process.

10000*.333= 3330

  1. Is the process six sigma compliant?

The company should not use this machine

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