When we have a normal distribution with mean μ = 64.5 and standard deviation σ = 2.5, we can calculate the z-score for X = 67 as:
[tex]\begin{gathered} z=\frac{X-\mu}{\sigma} \\ z=\frac{67-64.5}{2.5}=\frac{2.5}{2.5}=1 \end{gathered}[/tex]As the z-score is 1, it means that is one standard deviation to the right of the mean.
Answer: z = 1
