If sample variance is computed by dividing SS by df = n - 1,then the average value of the sample variances from all the possible random samples will be ____ the population variance.
A)smaller than
B)larger than
C)exactly equal to
D)unrelated to

Question

If sample variance is computed by dividing SS by df = n - 1,then the average value of the sample variances from all the possible random samples will be ____ the population variance.​
A)​smaller than
B)​larger than
C)​exactly equal to
D)​unrelated to

Quizplus · Accepted Answer

The average value of the sample variances from all possible random samples, when computed by dividing the sum of squares (SS) by the degrees of freedom (df = n - 1), will be exactly equal to the population variance. This method ensures an unbiased estimate of the population variance.

If Sample Variance Is Computed by Dividing SS by Df