Question

Find the z-scores associated with 70 books sold at each locationZ-score (A): Z-score (B):

Answer 1

Answer:

Z-score (A): -0.6

Z-score (B): -0.67

Explanations:

The formula for calculating z-score is expressed as:

$z=\frac{x-\mu}{\sigma}$

For score A:

Given the following parameters

$\begin{gathered} \mu=73 \\ x=70 \\ \sigma=5 \end{gathered}$

Substitute

$\begin{gathered} z=\frac{70-73}{5} \\ z=\frac{-3}{5}=-0.6 \end{gathered}$

For the score B

$\begin{gathered} \mu=80 \\ \sigma=15 \end{gathered}$

Substitute

$\begin{gathered} z=\frac{70-80}{15} \\ z=\frac{-10}{15}=-0.67 \end{gathered}$