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Math Help - Central Limit Theorem

  1. #1
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    Unhappy Central 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.
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  2. #2
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    Quote Originally Posted by syaaram7805 View Post
    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.
    One conclusion of the Central Limit Theorem is that if Y_1, Y_2, ..... Y_n are independent and identically distributed random variables with E(Y_i) = \mu and Var(Y_i) = \sigma^2 both finite, then \bar{Y} = \frac{1}{n} \sum_{i=1}^n Y_i is asymptotically normal with mean \mu (and variance \frac{\sigma^2}{n}).
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  3. #3
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    Lightbulb Central 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!
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  4. #4
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    Quote Originally Posted by mr fantastic View Post
    One conclusion of the Central Limit Theorem is that if Y_1, Y_2, ..... Y_n are independent and identically distributed random variables with E(Y_i) = \mu and Var(Y_i) = \sigma^2 both finite, then \bar{Y} = \frac{1}{n} \sum_{i=1}^n Y_i is asymptotically normal with mean \mu (and variance \frac{\sigma^2}{n}).
    Quote Originally Posted by syaaram7805 View Post
    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.
    What Mr F writes is the gist of the very first hit by Google for the search string "central limit theorem for mean".

    RonL
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