STAB22H3 Lecture Notes - Lecture 20: Standard Deviation, Random Variable, Point Estimation
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STAB22H3 Full Course Notes
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The sample mean is itself a random variable and subject to sampling vari- ability. Proposing the sample mean alone is inadequate without also describing the variability in the sample mean (to measure the con dence we have in the estimate. ) , xn is a sample from a distribution with mean. X n ( , / n) n large. 1: recall, we had the hugely important fact that a random variable x n ( , ) if and only if z = x , we used this fact every time we standardize to take advantage of table a. N (0, 1): so, whenever x n ( , , and whenever x n), it is the case that. Z = n approx n ( , / n), it is the case that. Z = approx n (0, 1: so we can improve our table, if x1, x2, . X n n (0, 1) n large.
