Answer:
Z-score (A): -0.6
Z-score (B): -0.67
Explanations:
The formula for calculating z-score is expressed as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For score A:
Given the following parameters
[tex]\begin{gathered} \mu=73 \\ x=70 \\ \sigma=5 \end{gathered}[/tex]
Substitute
[tex]\begin{gathered} z=\frac{70-73}{5} \\ z=\frac{-3}{5}=-0.6 \end{gathered}[/tex]
For the score B
[tex]\begin{gathered} \mu=80 \\ \sigma=15 \end{gathered}[/tex]
Substitute
[tex]\begin{gathered} z=\frac{70-80}{15} \\ z=\frac{-10}{15}=-0.67 \end{gathered}[/tex]
