The sample statistic s is an unbiased estimator of the population parameter $\text { ? }$
when (n - 1)is used as a divisor when we calculate the standard deviation of the sample.

Question

The sample statistic s is an unbiased estimator of the population parameter $\text { ? }$
 when (n - 1)is used as a divisor when we calculate the standard deviation of the sample.

Quizplus · Accepted Answer

The sample statistic s is an unbiased estimator of the population parameter σ when (n-1) is used as a divisor when we calculate the variance of the sample. However, when we calculate the standard deviation of the sample, the correct divisor is the square root of (n-1), which means s is not an unbiased estimator of σ.

The Sample Statistic S Is an Unbiased Estimator of the Population