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There are two normally distributed random variables, X N(, 2 ) and Y N(2, 2 2 ). There are two samples, random, i.i.d. sample of
There are two normally distributed random variables, X N(,2) and Y N(2, 22). There are two samples, random, i.i.d. sample of the X-values of size n with the sample mean Xbar, and random, i.i.d. sample of the Y-values of size m, with the sample mean of Ybar. Consider anestimator = c1Xbar + c2Ybar, where c1and c2are two constants.The values of c1and c2which make this estimator unbiased are given by c1= 2-2c2. Is it true or false?
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