Question

What is the z-score of sample X, if `n = 54, mu= 37, St. Dev. =30, and mu_X =42`?

Answer 1

`z=1.225`

Explanation:

`mu_x` represents one of the value of the distribution.
`mu_barx=mu`
We have to find the Standard Error of the given distribution.

It is - SD`= sigma/sqrtn= 30/sqrt 54=30/7.35=4.08`

`z=(mu_x-mu)/sigma=(42-37)/4.08=1.225`