Question

fill in the blanks.
an unbiased estimator is a statistic that targets the value of the of the population parameter such that the sampling distribution of the statistic has a ____ equal to the ____ of the corresponding parameter.
a. range; range/4
b. mean; standard deviation
c. mean; mean
d. standard deviation; standard deviation

Explanation:

An unbiased estimator is defined as a statistic where the mean of its sampling distribution equals the mean of the population parameter. For example, the sample mean \(\bar{x}\) is an unbiased estimator of the population mean \(\mu\) because \(E(\bar{x})=\mu\). Option A is incorrect as range and range/4 have no such relationship for unbiased estimators. Option B is wrong since mean and standard deviation don't fit the unbiased estimator definition. Option D is incorrect because the standard deviation of the sampling distribution (standard error) is not generally equal to the population standard deviation for an unbiased estimator in the way described.

Answer:

C. mean; mean