Given a population variance of = 36 and a sample size of n = 9, which of the following would equal the standard deviation of the sampling distribution of the sample mean, ?
A) 4
B) 2
C) 1/2
D) 1/4

Question

Given a population variance of  = 36 and a sample size of n = 9, which of the following would equal the standard deviation of the sampling distribution of the sample mean,  ?
A) 4 
B) 2 
C) 1/2 
D) 1/4

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of the sample mean (also known as the standard error of the mean or SEM) is equal to the population standard deviation divided by the square root of the sample size, or σ/√n. In this case, σ = √36 = 6, and n = 9, so the SEM = 6/√9 = 2. Therefore, the answer is B.

Given a Population Variance of = 36 and a Sample