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(Extra Credit) Suppose you have a sample distribution { x1, X2, ..., Xn} and you compute the z-scores of each x; to get a new

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(Extra Credit) Suppose you have a sample distribution { x1, X2, ..., Xn} and you compute the z-scores of each x; to get a new distribution (z1, Z2, ...,Zn). Verify that the mean and standard deviation of this new distribution is indeed 0 and 1 respectively

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