PSYC 2530 Chapter Notes - Chapter 7: Central Limit Theorem, Statistic, Sampling Distribution

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Chapter 7: probability and samples: the distribution of sample means. Sample error is the natural discrepancy, or amount of error, between a sample statistic and its corresponding population parameter. The distribution of sample means is the collection of sample means for all of the possible random samples of a particular size (n) that can be obtained from a population. A sampling distribution is a distribution of statistics obtained by selecting all of the possible samples of a specific size from a population. In a distribution of sample means: mean = . By the time the sample size reaches n = 30, the distribution is almost perfectly normal. According to the central limit theorem, the parameters of the distribution of sample means are as follows: a. The distribution of sample means is normal if either of the following is satisfied: 1) the population from which the samples are selected is a normal distribution.

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