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0 Using a long rod that has length you are going to lay out a...

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0 Using a long rod that has length you are going to lay out a square plot in which the length of each side is p Thus the area of the plot will be However you do not know the value of p so you decide to make n indepen dent measurements X X X of the length Assume that each X has mean unbiased measurements and variance o a Show that X is not an unbiased estimator for Hint For any rv Y E Y2 V Y E Y Apply this with Y X b For what value of k is the estimator X2 kS2 unbi ased for u Hint Compute E X2 kS2

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