An unbiased estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger.

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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The following statements are either true or false.  Indicate true or false and justify your answer briefly.

  1. An unbiased estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger.
  2. An unbiased estimator is a sample statistic whose expected value equals the population parameter.
  3. Knowing that an estimator is unbiased neither assures us that its expected value equals the population parameter, nor does it tell us how close the estimator is to the population parameter. 
  4. A specific confidence interval obtained from sample data will always correctly estimate the population parameter.

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