Given a population variance of = 36 and a sample size of n = 9, these imply a standard deviation of the sampling distribution of the sample mean, , of:
A) 4
B) 2
C) 1/4
D) 1/2

Question

Given a population variance of  = 36 and a sample size of n = 9, these imply a standard deviation of the sampling distribution of the sample mean,  , of:
A) 4 
B) 2 
C) 1/4 
D) 1/2

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of the sample mean, denoted by σ( x̄ ), is given by σ( x̄ ) = σ/√n, where σ is the population standard deviation and n is the sample size. Plugging in the given values, we get σ( x̄ ) = √36/√9 = 6/3 = 2. Therefore, the correct choice is B.

Given a Population Variance of = 36 and a Sample