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Confidence Bounds on the Probability of Meeting a Poisson or Binomial Distribution Specification Limit

Summary: A quality control analyst wishes to determine from limited available data the proporation of a Poisson or binomial population which can be claimed with a high degree of confidence to meet a specified limit. For example, in a population of cartons containing 48 units each one wishes to establish a lower confidence bound on the proportion of cartons which have eight or fewer defective items, based upon the results of a random sample of 250 units. Procedures for obtaining such bounds are described and illustrated.

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  • Topics: Statistics
  • Keywords: Statistics,Binomial distribution,Confidence intervals,Poisson distribution
  • Author: Chandra, Ramesh; Hahn, Gerald J.
  • Journal: Journal of Quality Technology