A certain statistic will be used as an unbiased estimator of a parameter. Let J represent...

 

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A certain statistic will be used as an unbiased estimator of a parameter. Let J represent the sampling distribution of the estimator for samples of size 40, and let K represent the sampling distribution of the estimator for samples of size 100. Which of the following must be true about J and K ? A The expected value of J will be equal to the expected value of K, and the variability of J will be equal to the variability of K. The expected value of J will be greater than the expected value of K, and the variability of J will be greater than the variability of K. The expected value of J will be greater than the expected value of K, and the variability of J will be less than the variability of K. The expected values of J and K will be equal, and the variability of J will equal the variability of K. E The expected values of J and K will be equal, and the variability of J will be greater than the variability of K. A certain statistic will be used as an unbiased estimator of a parameter. Let J represent the sampling distribution of the estimator for samples of size 40, and let K represent the sampling distribution of the estimator for samples of size 100. Which of the following must be true about J and K ? A The expected value of J will be equal to the expected value of K, and the variability of J will be equal to the variability of K. The expected value of J will be greater than the expected value of K, and the variability of J will be greater than the variability of K. The expected value of J will be greater than the expected value of K, and the variability of J will be less than the variability of K. The expected values of J and K will be equal, and the variability of J will equal the variability of K. E The expected values of J and K will be equal, and the variability of J will be greater than the variability of K.

Answer rating: 100% (QA)

Solution The correct answer is E The expected value of J and K wil... View the full answer