Consider a sampling distribution formed based on n = 3.The standard deviation of the population of all sample means is ______________ less than the standard deviation of the population of individual measurements σ.
A) always
B) sometimes
C) never

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, as the sample size increases, the standard deviation of the sampling distribution of the sample means decreases. Therefore, as n = 3 is a small sample size, the standard deviation of the population of all sample means will always be less than the standard deviation of the population of individual measurements σ.

Consider a Sampling Distribution Formed Based on N = 3