Solved: Why does the sampling distribution of the mean follow a, Basic Statistics

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Why does the sampling distribution of the mean follow a

Question: 1. Why is the sample mean an unbiased estimator of the population mean?

2. Why does the standard error of the mean decrease as the sample size, n, increases?

3. Why does the sampling distribution of the mean follow a normal distribution for a large enough sample size, even though the population may not be normally distributed?

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