A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard err…

Question

asked Mar 16, 2021 234k views

1 Answer

Steven Koch · Answer 1 · 2021-03-21T02:59:31+0000

Answer:

Explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as
$\sigma_{\overline{X}}=120$

The sample mean was determined to be 320.

It can be written as
$\overline{X}=\mu =320$

The formula for the standard error of the mean is given by

$\sigma_{\overline{X}}=(\sigma)/(√(n))$

Now substitute the values in the formula we get

$\sigma_{\overline{X}}=(120)/(√(64))$

=(120)/(8)

=15

$\sigma_{\overline{X}}=15$