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

Answer 1

Answer:

z-score = 5

Step-by-step explanation:

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.

To find z-score we use formula

z= $\frac{x- mean}{standard \ deviation}$

annual salary of $54,000, x is 54000

Plug in the values in the formula

z= $\frac{x- mean}{standard \ deviation}$

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

Answer 2

$z=\frac{X-\mu}{\sigma}=\frac{54000-34000}{4000}=5$