Can someone please give me a hint as to what I am supposed to be looking for here? I have searched my textbook front to back and the internet and am so confused. Please help! Thanks!

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

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- Feb 1st 2008, 05:55 PMsyaaram7805Central Limit Theorem
Can someone please give me a hint as to what I am supposed to be looking for here? I have searched my textbook front to back and the internet and am so confused. Please help! Thanks!

State the main points of the Central Limit Theorem for a mean. - Feb 1st 2008, 07:20 PMmr fantastic
One conclusion of the Central Limit Theorem is that if $\displaystyle Y_1$, $\displaystyle Y_2$, ..... $\displaystyle Y_n$ are independent and identically distributed random variables with $\displaystyle E(Y_i) = \mu$ and $\displaystyle Var(Y_i) = \sigma^2$ both finite, then $\displaystyle \bar{Y} = \frac{1}{n} \sum_{i=1}^n Y_i$ is asymptotically normal with mean $\displaystyle \mu$ (and variance $\displaystyle \frac{\sigma^2}{n}$).

- Feb 2nd 2008, 09:07 AMsyaaram7805Central Limit Theorem
Thank you so much for helping understand what this was looking for. Now that I have read that I think I know where to go from here. Thanks so much!

- Feb 2nd 2008, 11:34 AMCaptainBlack