Asked by Bailey Hembree on May 11, 2024
Verified
A statistic is said to be unbiased if its sampling distribution has the smallest standard error.
Unbiased
A characteristic of an estimator that means the expected value of the estimator equals the true parameter value of the population.
Sampling Distribution
The probability distribution of a given random-sample-based statistic that provides insight into the shape, bias, and variability of the statistic.
- Apprehend the divergence between unbiased and biased estimators.
Verified Answer
JL
Jessica LauchnorMay 17, 2024
Final Answer :
False
Explanation :
A statistic is said to be unbiased if its expected value is equal to the true population parameter. The standard error measures the precision of the estimate, not the bias. A statistic can be unbiased but still have a relatively large standard error.
Learning Objectives
- Apprehend the divergence between unbiased and biased estimators.
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