You plan to use a rod to lay out a square, each side of which is the
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You plan to use a rod to lay out a square, each side of which is the length of the rod. The length of the rod is μ, which is unknown. You are interested in estimating the area of the square, which is μ2. Because μ is unknown, you measure it n times, obtaining observations X1, X2, …., Xn. Suppose that each measurement is unbiased for μ with variance σ2.
(a) Show that X̅2 is a biased estimate of the area of the square.
(b) Suggest an estimator that is unbiased.
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a Therefore X 2 is bia...View the full answer
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Related Book For
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger
Question Posted:
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