Question

the annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000. what is the z - score of a company employee who makes an annual salary of $54,000?
-5
-3
4
5

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We have $x = 54000$, $\mu=34000$, and $\sigma = 4000$.

Step3: Substitute values into formula

$z=\frac{54000 - 34000}{4000}=\frac{20000}{4000}=5$

Answer:

D. 5