Refer to Example 5.2 and the outcome x of a $5 wager in craps. We found the

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Refer to Example 5.2 and the outcome x of a $5 wager in craps. We found the sampling distributions of the sample mean x and the sample median m for random samples of n = 3 dice rolls from a population defined by the following probability distribution:X p(x) -5 -10 0 619 5 2la 9

The sampling distributions of x̄ and m were found to be as follows:x P(x) -5 729 m -3.33 -1.67 18 114 729 729 p(m) -5 25 729 0 288 729 0 612 729 1.67 228 729 er 92 729 3.33

a. Show that x̄ is an unbiased estimator of μ in this situation.

b. Show that m is a biased estimator of μ in this situation.

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Statistics For Business And Economics

ISBN: 9781292227085

13th Global Edition

Authors: Terry Sincich James Mcclave, P. George Benson

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