SOLUTION: 5. State the main points of the Central Limit Theorem for a mean. 6. Why is population shape of concern when estimating a mean? What does sample size have to do with it?

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Question 193975: 5. State the main points of the Central Limit Theorem for a mean.
6. Why is population shape of concern when estimating a mean? What does sample size have to do with it?

Answer by solver91311(24713) About Me  (Show Source):
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Let be a sequence of n independent and identically distributed (i.i.d) random variables each having finite values of expectation and variance . The central limit theorem states that as the sample size n increases, the distribution of the sample average of these random variables approaches the normal distribution with a mean and variance irrespective of the shape of the original distribution.






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