APFIVE Properties of Biased and Unbiased Estimators
All of the following statements about biased and unbiased estimators are true EXCEPT:
Estimator Comparison:
| Estimator | Expected Value | Comment |
|---|---|---|
| A | 145 | Biased |
| B | 146 | Unbiased |
| C | 146 | Unbiased |
| D | 146 | Unbiased |
A
An unbiased estimator has a sampling distribution with a mean equal to the true population parameter.
B
Biased estimators have sampling distributions that are not centered on the true parameter.
C
Sample means are unbiased estimators of the population mean.
D
An estimator is said to be unbiased if the mean of its sampling distribution does not equal the true population parameter.
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