Central limit theorem
The central limit theorem says if X1...Xn are random sample from unknown distribution with the mean u and variance σ^2, then X(bar) has approximately normal distribution with ( ) mean and ( ) variance if n is sufficiently large.
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If I purchase the 5 lb bag comprising of Peanuts and Cashews, and I pay $23.50 for bag, how many pounds of cashews and how many pounds of peanuts are in a bag?
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Its key advantage is high internal validity; its disadvantage is that randomization is often ethically or practically impossible.
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