A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means
A) whenever the population is infinite.
B) whenever the sample size is more than 5% of the population size.
C) whenever the sample size is less than 5% of the population size.
D) irrespective of the size of the sample.

Question

Quizplus · Accepted Answer

The finite population correction factor is applied to adjust the standard deviation of the sampling distribution when the sample size is more than 5% of the population size. This is because sampling without replacement from a finite population affects the variance of the sample means, especially when the sample constitutes a significant fraction of the population.

A Finite Population Correction Factor Is Needed in Computing the Standard