A1. Consider a population of size N = 3. The values of Y's for i = 1, 2, 3 are 0, 2 and 1 respectively. Consider the fol

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A1 Consider A Population Of Size N 3 The Values Of Y S For I 1 2 3 Are 0 2 And 1 Respectively Consider The Fol 1 (332.51 KiB) Viewed 22 times

A1. Consider a population of size N = 3. The values of Y's for i = 1, 2, 3 are 0, 2 and 1 respectively. Consider the following two estimators of the poulation mean y for simple random sampling without replacement with a sample size of 2. (a) y the sample mean tı = {(y1 + y2) (b) t= t2 = 241 + $y2 tz = 3y2 + 3y3 Given that Sı = (y1, y2), S2 = (41, Y3) and S3 (42, 43) and ti, tz and tz are possible means under the estimator t, show that the variance of y is greater than the variance oft and interpret the result. [5 marks] = =