If a population has a variance of 64 and we take a simple random sample of size 25, what will the standard deviation of the sampling distribution of be, assuming the Central Limit Theorem holds in this case?
A) 0.32
B) 0.625
C) 1.60
D) 3.125

Question

If a population has a variance of 64 and we take a simple random sample of size 25, what will the standard deviation of the sampling distribution of  be, assuming the Central Limit Theorem holds in this case?
A) 0.32 
B) 0.625 
C) 1.60 
D) 3.125

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of means can be calculated as:

$\frac{\sigma}{\sqrt{n}}=\frac{8}{\sqrt{25}}=1.6$

Therefore, the answer is (C).

If a Population Has a Variance of 64 and We