The information we have is:
Mean:
[tex]\mu=25[/tex]Standard deviation:
[tex]\sigma=2.5[/tex]Value of x:
[tex]x=29[/tex]--------------------------------------------------------
To solve this problem, we need to use the z-score formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]Substituting our values:
[tex]z=\frac{29-25}{2.5}[/tex]We need to solve the subtraction first:
[tex]z=\frac{4}{2.5}[/tex]Finally, solve the division to find the z-score:
[tex]z=1.6[/tex]the z-score is 1.6
Answer: 1.6