Question

The annual salaries of all employees at a financial company are normally distributed with a mean= $34,000 and a standard deviation= $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?

Answer 1

The question ask the z score of the company having a mean of 34000 and standard deviation of 4000 and the answer would be -1.5. I hope you are satisfied with my answer and feel free to ask for more if you have further question and clarifications

Answer 2

The correct answer is:

-1.5.

Explanation:

The formula for a z-score is

$z=\frac{X-\mu}{\sigma}$, where X is our test value, μ is the mean, and σ is the standard deviation.

Using our information, we have:

$z=\frac{28000-34000}{4000}=\frac{-6000}{4000}=-1.5$