Question

Suppose that a sample of size 44 is drawn from a population with mean 36 and standard deviation 47, find the standard deviation of the distribution of sample means

Answer 1

Answer:

Standard deviation of the distribution of sample means = 7.0855

Step-by-step explanation:

We are given that a sample of size 44 is drawn from a population with mean 36 and standard deviation 47.

Using Central Limit Theorem, it is stated that;

Standard deviation of the distribution of sample means = $\frac{Population S.D.}{\sqrt{n} }$

         =  $\frac{\sigma}{\sqrt{n} }$  = $\frac{47}{\sqrt{44} }$ = 7.0855