Answer:
A. [tex]Z=2.06[/tex]
Step-by-step explanation:
We want to find the Z-score of [tex]X=27[/tex] if the population mean is [tex]\mu=20[/tex],and the population standard deviation is [tex]\sigma=3.4[/tex].
We use the formula:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
We substitute the values to obtain:
[tex]Z=\frac{27-20}{3.4}[/tex]
[tex]Z=\frac{7}{3.4}[/tex]
[tex]Z=2.06[/tex]
The correct answer is A.
