COMMERCE 2QA3 Study Guide - Central Limit Theorem, Sampling Distribution, Pearson Education
16 Dec 2014
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Randomization condition: the data values must be sampled randomly, or the concept of a sampling distribution makes no sense. Sample size assumption: the sample size must be sufficiently large. We can"t check these directly, but we can think about whether the independence assumption is plausible. 10% condition: when the sample is drawn without replacement (as is usually the case), the sample size, n, should be no more than 10% of the population. Large-enough sample condition: the clt doesn"t tell us how large a sample we need. The truth is, it depends; there"s no one-size-fits-all rule. : 3: it is generally believed that electrical problems affect about 14% of new cars. Answer: we can assume these cars are a representative sample of all new cars, and certainly less than. We expect 14% 128 = 17. 92 successes (electrical problems) and 86% 128 = 110. 08 failures (no problems) so the sample is large enough to use the sampling model n(0. 14,
