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Shawn Choate is thinking about his graduate thesis. Still in the preliminary stage, he wants to choose a variable of study that has the most desirable statistical properties. The statistic he is presently considering has the following characteristics:

  • The expected value of the sample mean is equal to the population mean.
  • The variance of the sampling distribution is smaller than that for other estimators of the parameter.
  • As the sample size increases, the standard error of the sample mean rises and the sampling distribution is centered more closely on the mean.

Select the best choice. Choate’s estimator is:


A. unbiased and efficient.
B. unbiased, efficient, and consistent.
C. efficient and consistent.
D. unbiased and consistent.
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