A FORMULA FOR DETERMINING SAMPLE SIZE IN HYPERGEOMETRIC SAMPLING WHEN ZERO DEFECTIVES ARE OBSERVED IN THE SAMPLE

摘要

Inequalities are derived for determining upper and lower bounds on the sample size which guarantees, with a given confidence that no more than a given number of defectives will occur in a lot when zero defectives are observed in a sample taken from the lot without replacement. Two extensive tabulations are included, one of 1 - (1 - y)l/k, and the other of log (1 = y)/log P„ In the first, Y = 0.700, 0.750, 0.800, 0.850, 0.900, 0.950, 0.980, 0.990, 0.995, and 0.999, and k = 1(1)500(10)1000(100)11,000. In the second tabulation, Y and P equal all of the values of y for the first tabulation, and, in addition, both also equal 0.5000, 0.9750, 0.9995, and 0.9999. These tabulations have applications to the inequality problems, but also too many other problems.