the annual salaries of all employees at a financial company are normally distributed with a mean $mu =…

the annual salaries of all employees at a financial company are normally distributed with a mean $mu = \\$34,000$ and a standard deviation $sigma = \\$4,000$. what is the z - score of a company employee who makes an annual salary of $\\$28,000$?\n-5\n-3.5\n-1.5\n1.5

the annual salaries of all employees at a financial company are normally distributed with a mean $mu = \\$34,000$ and a standard deviation $sigma = \\$4,000$. what is the z - score of a company employee who makes an annual salary of $\\$28,000$?\n-5\n-3.5\n-1.5\n1.5

Answer

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

We have $x = 28000$, $\mu=34000$, and $\sigma = 4000$.

Step3: Substitute values into formula

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

Answer:

-1.5