Central Limit Theorem

Agent Smith

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Oct 18, 2023
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Central Limit Theorem: As the sample size increases, the distribution of the sample means approaches normal.
Is it also true that the sample mean of a larger sample is closer to the population mean than the sample mean of a smaller sample?
 
Central Limit Theorem: As the sample size increases, the distribution of the sample means approaches normal.
Is it also true that the sample mean of a larger sample is closer to the population mean than the sample mean of a smaller sample?

If you mean that the standard deviation of the sample means is smaller, yes. Do you know the formula for that?
 
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