Question

A population of values has a normal distribution with μ=89.8 and σ=85.9. You intend to draw a random sample of size n=131.

What is the mean of the distribution of sample means?
μx¯=

What is the standard deviation of the distribution of sample means (i.e. the standard error)?
(Report answer accurate to 2 decimal places.)
σ¯x=

Answer 1

Solution :

Given that,

mean = $\mu$ = 89.8

standard deviation = $\sigma$ = 85.9

n = 131

$\mu$_{$\bar x$} = $\mu$ = 89.8

$\sigma$_{$\bar x$} = $\sigma$ / $\sqrt$ n = 85.9 / $\sqrt$ 131 = 7.51