Given
To find: The z-sores if x=40 and y=66.
Explanation:
It is given that,
That implies,
[tex]\begin{gathered} Best\text{ }Actor,\text{ }z=\frac{x-\mu}{\sigma} \\ z=\frac{40-41}{6.4} \\ =-\frac{1}{6.4} \\ =-0.15625 \end{gathered}[/tex]
Also,
[tex]\begin{gathered} Best\text{ }Supporting\text{ }Actor,\text{ }z=\frac{y-\mu}{\sigma} \\ z=\frac{66-50}{16} \\ =\frac{16}{16} \\ =1 \end{gathered}[/tex]
Hence, the z-scores are for best actor -0.15625 and 1.
