Question: 3. Suppose that Y1, Y2, YE; is a random sample from a N (a, 02) population. To estimate the population mean a, consider a weighted

3. Suppose that Y1, Y2, YE; is a random sample from a N (a, 02) population. To estimate the population mean a, consider a weighted estimator: ~ 1 1 1 YzY Y Y 2 1+3 2+5 3 (a) Show that l7 is an Imbiased estimator for a- (b) Find the variance of l7 and compare it to the variance of the sample mean 17. (o) Is it; as good an estimator as W

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