Step 1 :Given a normal distribution with mean \(\mu = 104\) and standard deviation \(\sigma = 4\), we want to find the z-score for a value of \(x = 110\).
Step 2 :Use the z-score formula: \(z = \frac{x - \mu}{\sigma}\)
Step 3 :Plug in the values: \(z = \frac{110 - 104}{4}\)
Step 4 :Calculate the z-score: \(z = \frac{6}{4} = 1.5\)
Step 5 :\(\boxed{z = 1.5}\)