Question

pre-test complete
time remaning 50:35
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 data point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify given values

$x = 54000$, $\mu = 34000$, $\sigma = 4000$

Step3: Substitute values into formula

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

Step4: Calculate numerator first

$54000 - 34000 = 20000$

Step5: Compute final z-score

$z = \frac{20000}{4000} = 5$

Answer:

5