A certain statistic will be used as an unbiased estimator of a parameter. Let R represent the sampling distribution of the estimator for samples of size 35, and let S represent the sampling distribution of the estimator for samples of size 15. Which of the following must be true about R and S ? (A) The expected values of R and S will be equal, and the variability of R will be less than the variability of S. (B) The expected values of R and S will be equal, and the variability of R will be equal to the variability of S. (C) The expected values of R and S will be equal, and the variability of R will be greater than the variability of S. (D) The expected value of R will be greater than the expected value of S, and the variability of R will be greater than the variability of S. (E) The expected value of R will be greater than the expected value of S, and the variability of R will be less than the variability of S.
A certain statistic will be used as an unbiased estimator of a parameter. Let R represent the sampling distribution of the estimator for
Which of the following must be true about R and S ?
(A) The
(B) The expected values of R and S will be equal, and the variability of R will be equal to the variability of S.
(C) The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
(D) The expected value of R will be greater than the expected value of S, and the variability of R will be greater than the variability of S.
(E) The expected value of R will be greater than the expected value of S, and the variability of R will be less than the variability of S.
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