Question

use the formula $z = \frac{x - \mu}{\sigma}$ to find $z$ when $x = 5$, $\mu = 8$, $\sigma = 3$. write your answer either as a whole number or places (if necessary). $z = $ input box enter an integer or decimal number

Explanation:

Step1: Substitute values into formula

We have the formula \( z = \frac{x - \mu}{\sigma} \), and we know \( x = 5 \), \( \mu = 8 \), \( \sigma = 3 \). Substitute these values into the formula: \( z=\frac{5 - 8}{3} \)

Step2: Calculate numerator

First, calculate the numerator \( 5 - 8=-3 \), so now we have \( z = \frac{-3}{3} \)

Step3: Simplify the fraction

Simplify \( \frac{-3}{3}=-1 \)

Answer:

\( -1 \)