Question: Let X be a random variable with mean and variance a. Given two independent random samples of sizes w, and w with sample means, and,

Let X be a random variable with mean and variance

a. Given two independent random samples of sizes w, and w with sample means, and, show that +(-a) < < is an unbiased estimator for. If and are independent. find the value of a that minimizes the standard error of X.

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