One-Sided Confidence Regions on the Upper and Lower Tail Areas of the Normal Distribution

Abstract

Tables are provided for constructing one-sided simultaneous confidence limits for the two tail areas of a normal distribution with unknown mean and unknown variance. The two tail areas are the proportion of product above an upper specification limit and the proportion below a lower specification limit. Tables are given for selected values of the sample size, the normalized specification limits, and the confidence coefficient.

• Confidence Regions
• Normal Distribution Tail Areas

Additional information

Notes on contributors

Youn-Min Chou

Dr. Chou is an Assistant Professor in the Division of Mathematics, Computer Science, and Systems Design. She is a Member of ASQC.

D. B. Owen

Dr. Owen is a University Distinguished Professor in the Statistics Department. He is a Senior Member of ASQC and also an ASQC Certified Reliability Engineer.