As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____ distribution.

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21-10-2022
Mathematics

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As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____ distribution.

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contexto1024 contexto1024 · Answer 1 · 2022-11-02T09:05:17-04:00

The sampling distribution of the sample mean approaches a Normal Distribution when the sample size becomes larger.

According to the central limit theorem for samples, if we keep drawing larger .And larger samples and calculating their means, then the sample forms its . Own normal distribution (the sampling distribution). The mean of normal distribution has the same the original distribution and a variance that is equal to the original variance divided by the sample size. The variable p is the number of values whose average is taken together ,and not the number of times we do the experiments.

Thus, for a large random sample, the sample does not resemble the regular curve but for a large random sample it will closely resemble the normal curve.

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