11-17-08 - Psychology 206 Class Notes 3 amazing...

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Psychology 206 – Class Notes – 11/17/08 3 amazing facts [ CENTRAL LIMIT THEOREM EXPLAINED ] (about the sampling distribution of the sample mean) WILL BE ON THE NEXT QUIZ AND FINAL EXAM – MEMORIZE THESE!!!!!!!!!!!!!111 1. SHAPE - This only allows us to make the assumption that the sampling distribution of the sample mean is normal. a. As N increases, the sampling distribution of the sample mean becomes more normal (no matter the shape of the parent population 2. MEAN - The mean of the sampling distribution of the sample mean [ µ m or (xbar)] equals the population mean, the mean of the parent population. 3. STANDARD DEVIATION - The standard deviation of the sampling distribution of the sample mean equals (population std. dev / sq.root(N) ) [and is called the standard error or the standard error of the mean Central limit theorem: [VERY IMPORTANT!!!!!!!!!!!!!!!!!!!!!! WILL BE ON EXAM!] MATHEMATICAL DEFINITION: Let X1, X2, X,… be a set of n independent an identically distributed random variables having finite values of mean (u) and variance (sigma^2 > 0)
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11-17-08 - Psychology 206 Class Notes 3 amazing...

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