Consider a sampling distribution formed based on n = 3.The standard deviation of the population of all sample means $\sigma _ { \bar { X } }$
Is ______________ less than the standard deviation of the population of individual measurements ?.
A)Always
B)Sometimes
C)Never

Question

Quizplus · Accepted Answer

The standard deviation of the sample means, also known as the standard error, is always less than the standard deviation of the population of individual measurements. This is because the standard error is calculated as the population standard deviation divided by the square root of the sample size (n), which reduces the variability.

Consider a Sampling Distribution Formed Based on N = 3 σXˉ\sigma _ { \bar { X } }σXˉ​

Consider a Sampling Distribution Formed Based on N = 3 $\sigma _ { \bar { X } }$