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Problem 2 Supposes and are the sample variances resulting from independent random samples of sizes and n, arising from the normal random variables X and Y, respectively, where X and Y possess the common variance o. a) show that the pooled sample variance: so 1.-2 n+1-2 is an unbiased estimator of the common variance o b) using your result from part a), show that *--(-) 1 1 n possesses a distribution with 1+1, -2 degrees of freedom