This chapter shows how to determine sample size requirements for tolerance intervals and for related demonstration tests concerning the proportion of product that exceeds (or is exceeded by) a specified value. This chapter explains sample size determination methods for:

- Normal distribution tolerance intervals and bounds (Section 9.1).
- A one-sided demonstration test based on normally distributed measurements to give a desired probability of successful demonstration (Section 9.2).
- Minimum sample size for distribution-free two-sided tolerance intervals and one-sided tolerance bounds (Section 9.3).
- Distribution-free two-sided tolerance intervals and one-sided distribution-free tolerance bounds with a specified amount of precision (Section 9.4).
- A one-sided demonstration test based on binomial data to give a desired probability of successful demonstration (Section 9.5).

This section provides simple methods for finding the sample size needed to achieve a specified level of precision when the data are to be used to compute a two-sided tolerance interval or a one-sided tolerance bound to contain at least a specified proportion of a sampled normal distribution. As the sample size increases, the computed tolerance interval will approach the probability interval ...

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