Session 3: Quantitative Methods: Application Reading 10: Sampling and Estimation
LOS g: Identify and describe the desirable properties of an estimator (unbiased, efficient, consistent).
The sample mean is an unbiased estimator of the population mean because the:
A) |
expected value of the sample mean is equal to the population mean. | |
B) |
sampling distribution of the sample mean has the smallest variance of any other unbiased estimators of the population mean. | |
C) |
sample mean provides a more accurate estimate of the population mean as the sample size increases. | |
An unbiased estimator is one for which the expected value of the estimator is equal to the parameter you are trying to estimate. |