 # Select the best answer. A statistic is an unbiased estimator of a parameter when (a) the statistic is calculated from a random sample. (b) in a single Lewis Harvey 2020-12-22 Answered
A statistic is an unbiased estimator of a parameter when (a) the statistic is calculated from a random sample. (b) in a single sample, the value of the statistic is equal to the value of the parameter. (c) in many samples, the values of the statistic are very close to the value of the parameter. (d) in many samples, the values of the statistic are centered at the value of the parameter. (e) in many samples, the distribution of the statistic has a shape that is approximately Normal.
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A statistic is an unbiased estimator of a parameter is the expected value of the statistic is equal to the parameter. or equivalently, the sampling distribution of the statistic will be centered about the parameter.
This then implies that in many samples, the value of the statistic is centered at the value of the parameter.
we then note that he only correct statement is mentioned in the answer option (d).
(d) The value of the statistic are centered at the value of the parameter when observing many samples