The population mean GPA of all CLU students is 3.15 and the population variance is .55. A sample of 50 students is collected. Use this information to answer the following five q…

Question

asked May 4, 2021 233k views

1 Answer

Narges · Answer 1 · 2021-05-09T18:53:48+0000

Answer:

The standard deviation of the sample mean
$\mathbf{\sigma _x =0.1049}$

Explanation:

We are provided with just a question; so, we are going to do just that.

Given that:

The population Mean
$\mu$ = 3.15

The population variance
$\sigma^2$ = 0.55

The sample size n = 50

We can calculate the Standard deviation of the sample mean
$\sigma_x$ by using the formula:

$\sigma _x = (\sigma)/(√(n))$

Recall that:

The population variance
$\sigma^2$ = 0.55

So;
$\sigma= √(0.55)$

$\sigma=0.7416$

Then:
$\sigma _x = (0.7416)/(√(50))$

$\mathbf{\sigma _x =0.1049}$