One-Sided Simultaneous Lower Prediction Intervals for / Future Samples From a Normal Distribution

Abstract

One-sided simultaneous lower prediction intervals are discussed, which contain at least m_i — k_i + 1 (i = 1, 2, …. l) out of m_i observations in l future samples from a normal population. Such intervals are required, for example, when a manufacturer wishes to assure with a high probability the acceptance of all l future shipments of a product. The prediction limits are computed using the sample mean and the sample standard deviation of a past sample of size n from the same normal population. Tables are provided for calculating such prediction limits when there are two future samples, and the procedure is illustrated by an example.

KEY WORDS:

• Normal prediction intervals
• Factors for lower prediction limits