SOLUTION: . State the main points of the Central Limit Theorem for a mean.

Question 203934: . State the main points of the Central Limit Theorem for a mean.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The Central Limit Theorem consists of three statements:
[1] The mean of the sampling distribution of means is equal to the mean of the population from which the samples were drawn.
[2] The variance of the sampling distribution of means is equal to the variance of the population from which the samples were drawn divided by the size of the samples.
[3] If the original population is distributed normally (i.e. it is bell shaped), the sampling distribution of means will also be normal. If the original population is not normally distributed, the sampling distribution of means will increasingly approximate a normal distribution as sample size increases. (i.e. when increasingly large samples are drawn)
John

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