A Prediction Interval Approach to Obtaining Variables Sampling Plans for Small Lots: Single Sampling from Gaussian Processes

Kenneth W. Fertig, Nancy R. Mann · Journal of the American Statistical Association · 1977

A prediction-interval approach is used to derive variables sampling plans applicable to finite lots. A normally distributed process is assumed, and lots ranging in size from 5 to 70 are considered. The plans are such that, with high probability, accepted lots will have zero defects (defined in terms of one-sided specification limits). Further, tabulations provide information which is useful for selecting sample size for a specified combination of lot size and acceptable quality level. Substantial savings in sample size can be achieved by using variables plans in place of the comparable hypergeometric sampling plans.

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