PSYC 3000 Lecture Notes - Lecture 8: Central Limit Theorem, Sampling Distribution
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So we want to have a normal distribution. Sample means are never normal, population is rarely normal. The smaller the sample the wider the distribution, the larger the sample the narrower the distribution will be. If you have a large enough sample size then no matter what the distribution of the population is, then the sampling distributions will be normal. Two ways of having a normal sampling distribution: normal population or large sample size. There"s a way to tell if a sample you got came from a normal population or not. You can tell what the skew of a population is from a sample distribution. If you are drawing samples from a symmetric population, then the sampling distribution will be normal.