Question: Suppose we have independent random samples of sizes 10 and 20 from a population with mean and variance 02. We calculate the sample mean

Suppose we have independent random samples of sizes 10 and 20 from

a population with mean and variance 02. We calculate the sample mean

Suppose we have independent random samples of sizes 10 and 20 from a population with mean and variance 02. We calculate the sample mean for each sample and refer to them as and X 20. Which is a better estimator of and why? O Neitlr estirnatoris better than the other b2cause MSE (X 10) = MSE (X 20). O is abetter estimator than X 20 because MSF, > MSE (X 20). O is abetter estimator thanX10 because > MSE (X 10). O because < MSE O is abetter estimatorthanXt0 because MSE < MSE What are the approximate distributions of and ? O N / 40), /

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