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Summary

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  • Sampling distributions are needed for inferential statistics. They help us make decisions about samples by letting us judge the relative position of a sample statistic compared to a population statistic.

  • We create a sampling distribution by generating all possible samples of a given size from a population, calculating a statistic for each sample, and plotting the distribution of sample statistics.

  • The standard error is the standard deviation of a sampling distribution.

  • The specific shape of a sampling distribution is determined by the statistic and sample size/degrees of freedom.

  • Each sample statistic has its own sampling distribution, shape, and formula for the standard error.

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