on a standardized exam, the scores are normally distributed with a mean of 185 and a standard deviation of…

on a standardized exam, the scores are normally distributed with a mean of 185 and a standard deviation of 10. find the z - score of a person who scored 170 on the exam.
Answer
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 values
We are given that $\mu = 185$, $\sigma=10$, and $x = 170$.
Step3: Substitute values into formula
$z=\frac{170 - 185}{10}=\frac{-15}{10}=-1.5$
Answer:
$-1.5$