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He​ _______ tells us that for a population with any​ distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

User Dexygen
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He​ Sampling method tells us that for a population with any​ distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
User Rapfaria
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The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. In practice, the distribution of the sample means approaches a bell-shape curve when n > 30. More specifically speaking, if a random variable X has a mean of µ and a standard deviation of σ, then the sample means are approximately normally distributed with a mean of µ and a standard deviation of
(\sigma)/( √(n) ) as the sample size increases.
User Valerij
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