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

Standard deviation of the distribution of sample means = 7.0855

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 =
`(Population S.D.)/(√(n) )`

=
`(\sigma)/(√(n) )` =
`(47)/(√(44) )` = 7.0855