on a standardized exam, the scores are normally distributed with a mean of 750 and a standard deviation of 25. find the z - score of a person who scored 715 on the exam.

Question

Accepted Answer

# Explanation:
## Step1: Recall the z - score formula
The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the raw score, $\mu$ is the mean, and $\sigma$ is the standard deviation.
## Step2: Identify the values of $x$, $\mu$, and $\sigma$
Given that $x = 715$, $\mu=750$, and $\sigma = 25$.
## Step3: Substitute the values into the formula
$$
\begin{align*}
z&=\frac{715 - 750}{25}\
&=\frac{- 35}{25}\
&=-1.4
\end{align*}
$$

# Answer:
$-1.4$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the z - score formula

Step2: Identify the values of \(x\), \(\mu\), and \(\sigma\)

Step3: Substitute the values into the formula

Answer: