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Solve clearly Q2. (18 points) Suppose that Y, . Y2. Y, is a sample of observations from a population with mean , and variance of.

Solve clearly

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Q2. (18 points) Suppose that Y, . Y2. Y, is a sample of observations from a population with mean , and variance of. However, Y1, 12. Y, are NOT independent. In fact suppose: Cou (Yi, Y2) = Cov (Vi. Ya) = Cov (2, Y)) = 0.50a Answer the following questions to find if the sample mean. Y = 1 ). Y , an unbiased estimator for u? Firstly, what is copy ? [ Select ] Is y an unbiased estimator for [ Select ] Yes No Next, find the variance of Y.Q2. (18 points) Suppose that Y , 12. Y, is a sample of observations from a population with mean a and variance g"; However, Y). 12. 1; are NOT independent. In fact suppose: Cou (ni. Y2) = Cov ( )= Cou(. Yo) = 0.5062 Answer the following questions to find if the sample mean, Y = _ ). Y , an unblased estimator for ? Firstly, what is EC) ? [ Select ] Is y an unbiased estimator for ? | [ Select ] Next, find the variance of > > [ Select ] cl d)Q2. (18 points) Suppose that Y . Y2. Y; is a sample of observations from a population with mean i and variance s?. However, Y1. Y2. Y; are NOT independent. In fact suppose: Cov (Y. Y2) = Cou (Yi, Y) = Cov (12, Ya) = 0.50c] Answer the following questions to find if the sample mean, Y = 1 . Y , an unbiased estimator for u ? Firstly, what is EC) [ Select ] Is y an unbiased esti H + 1.50 W/3 Next, find the variance of Y. [ Select ]

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