8. Question 5.53 Consider a sample statistic A. As with all sample statistics, A is computed by...
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8. Question 5.53Consider a sample statistic A. As with all sample statistics, A is computed by utilizing a specified function (formula) of the sample measurements. (For example, if A were the sample mean, the specified formula would sum the measurements and divide by the number of measurements.)
- Describe what we mean by the phrase "the sampling distribution of the sample statistic A."
- Suppose A is to be used to estimate a population parameter 0. What is meant by the assertion that A is an unbiased estimator of 0?
- Consider another sample statistic, B. Assume that B is also an unbiased estimator of the population parameter 0. How can we use the sampling distributions of A and B to decide which is the better estimator of 0?
- If the sample sizes on which A and B are based are large, can we apply the Central Limit Theorem and assert that the sampling distributions of A and B are approximately normal? Why or why not? (Hint: think about the requirements for the CLT.)
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