Among several unbiased estimators of the same population parameter, the most efficient estimator is the one with the:

Correct answer: C. Smallest variance

  • A. Highest population value
  • B. Largest sample mean
  • C. Smallest variance
  • D. Greatest sampling fraction

Explanation

Efficiency among unbiased estimators is judged by variance. The estimator with the smallest variance produces the most precise estimates over repeated samples.

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Sampling covers population and sample, sampling frames, simple random, systematic, stratified, cluster and convenience methods, along with sampling and non-sampling errors. Estimation includes sample statistics, population parameters, point estimates, confidence intervals and margins of error, with attention to how sample size affects precision.

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