Statistical Hypothesis Testing for Asymmetric Tolerance Index

Many of the nominal-the-best quality characteristics important machine tool components, such as inner or outer diameters, have asymmetric tolerances. An tolerance index is a function for average process and standard deviation. Unfortunately, it difficult to obtain 100(1−α)% confidence interval index. Therefore, this study adopts Boole’s inequality DeMorgan’s theorem find combined region well Next, using target feasible region, applies mathematical programming employs statistical hypothesis testing. Lastly, demonstrates applicability proposed approach with an illustrative example.