the annual salaries of all employees at a financial company are normally distributed with a mean of $34,000…
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?\n-5\n-3\n4\n5
Answer
Answer:
D. 5
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 are given that $\mu = 34000$, $\sigma=4000$, and $x = 54000$.
Step3: Substitute values into formula
$z=\frac{54000 - 34000}{4000}=\frac{20000}{4000}=5$.