EXPLANATION
The equation of the standard z-score os the following:
[tex]z=\frac{X-\bar{x}}{\sigma}[/tex]
Where x=37.4, x‾=32.6 σ=4.8
Plugging in the terms into the expression:
[tex]z=\frac{37.4-32.6}{4.8}[/tex]
Subtracting numbers:
[tex]z=\frac{4.8}{4.8}[/tex]
Simplifying:
[tex]z=1[/tex]
In conclusion, the solution is z=1
