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

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

Quizplus · Accepted Answer

This is because each possible sample mean is an average of n measurements, and thus, each sample mean averages out high and low sample measurements and can be expected to be closer to the population mean than many individual population measurements would be.

Consider a Sampling Distribution Formed Based on N = 3