Respuesta :

Answer:

1.15052

Explanation:

Given that:

Mean exam score = 84.28, that is,

[tex]\mu=84.28[/tex]

Standard deviation = 6.71, that is,

[tex]\sigma=6.71[/tex]

Score got on exam, x = 92.

The formula to find z-score is

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Plug in the given values into the formula.

[tex]\begin{gathered} z=\frac{92-84.28}{6.71} \\ =1.15052 \end{gathered}[/tex]

Thus, the required z-score is 1.15052.