Factors for Tolerance Limits which Control Both Tails of the Normal Distribution

Abstract

A special type of tolerance limits for a normal distribution is presented. The limits have the property that with probability γ no more than a specified proportion p₁ of a normal population is below the lower limit and at the same time no more than a specified proportion p₂ of that population is above the upper limit. An extensive tabulation of the factors necessary to calculate these limits is provided.

• Normal Distribution
• Tolerance Limit Factors
• Tolerance Limits

Additional information

Notes on contributors

D. B. Owen

Dr. Owen is Professor of Statistics at Southern Methodist University.

W. H. Frawley

Mr. Frawley is an Instructor in the Statistics Department at Southern Methodist University.