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Reading 10: Sampling and Estimation LOSg习题精选

LOS g: Identify and describe the desirable properties of an estimator.

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.

 

c

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The sample mean is a consistent estimator of the population mean because the:

A)

sampling distribution of the sample mean has the smallest variance of any other unbiased estimators of the population mean.

B)

sample mean provides a more accurate estimate of the population mean as the sample size increases.

C)

expected value of the sample mean is equal to the population mean.




A consistent estimator provides a more accurate estimate of the parameter as the sample size increases.

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