List two unbiased estimators and their corresponding paramet

List two unbiased estimators and their corresponding parameters. (Select all that apply.)

p is an unbiased estimator for p

is an unbiased estimator for _x

x is an unbiased estimator for

_x is an unbiased estimator for

p is an unbiased estimator for p

is an unbiased estimator for x

Solution

x-bar is an unbiased estimator for

p is an unbiased estimator for p

Rest are wrong. Remember that only a sample statistic can be estimator of population parameter, not the other way around. represents population std dev (parameter) and p represents population proportion (parameter), is population mean . p-hat and x-bar are sample proportion and sample mean.