SOC 885 Study Guide - Final Guide: Binomial Distribution, Statistical Inference

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Use table 1, appendix 3, to construct the operating characteristic curves for the following sampling plans: a n = 10, a = 0. n = 10, a = 1. c n = 10, a = 2. For each sampling plan, calculate p(lot acceptance) for p = 0, . 05, . 1, . 3, . 5, and 1. 0. Our intuition suggests that sampling plan (a) would be much less likely to accept bad lots than plans (b) and (c). A visual comparison of the operating characteristic curves will confirm this intuitive conjecture. Sampling for defectives from large lots of manufactured product yields a number of defectives, y , that follows a binomial probability distribution. A sampling plan consists of specifying the number of items n to be included in a sample and an acceptance number a. The lot is accepted if y a and rejected if y > a. Let p denote the proportion of defectives in the lot.