Question

If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of how many students' heights?

A.
Neither 99 nor 352

B.
352

C.
Both 99 and 352

D.
99

Answer 1

If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of the heights of all 352 students in the population.

Therefore, the answer is B. 352.

Answer 2

If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of the entire population, which includes all 352 students. Therefore, the answer is (B) 352.

It's worth noting that the sample of 99 students could be used to estimate the population variance if certain assumptions are met and appropriate statistical methods are used. However, the question specifically asks for the population variance, which refers to the variance of the entire population, not just the sample.