Hypotheses testing is an eective technique for making a decision about the process capability. The adversity to test Cpk based on determining the distribution of its natural estimator is very complex, even under the Nor- mal distribution. Thus, the Monte Carlo simulation approach is an executable procedure for the hypotheses testing of Cpk based on the natural estimator. The proposed approach is a testing technique to evaluate whether products quality meets the preset specication limits. This procedure implies a Monte Carlo statistical test, which is applicable to Normal processes. A case study in an automobile factory is presented to check out the products, and numeri- cal computations are presented to show the eect of the Monte Carlo critical values for making a reliable decision on the hypotheses testing of Cpk.

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