The sample variance
A) is always smaller than the true value of the population variance.
B) is always larger than the true value of the population variance.
C) could be smaller, equal to, or larger than the true value of the population variance.
D) can never be zero.

Question

Quizplus · Accepted Answer

The sample variance can be smaller, equal to, or larger than the true value of the population variance. This is because the sample variance is calculated from a subset of the population, which can sometimes result in overestimating or underestimating the true variance. Therefore, it is important to take into account the size and representativeness of the sample when interpreting the sample variance. The sample variance can also be zero if all the values in the sample are the same, but this is a rare occurrence.

The Sample Variance