Problem
Evaluate $z=\frac{x-\mu}{\sigma}$ if $x=184, \mu=174$, and $\sigma=7$ \[ z= \] (Type an integer or decimal rounded to two decimal places as needed.)
Solution
Step 1 ：Given that \(x = 184\), \(\mu = 174\), and \(\sigma = 7\).
Step 2 ：Substitute the given values into the expression \(z=\frac{x-\mu}{\sigma}\).
Step 3 ：Calculate \(z = \frac{184-174}{7}\).
Step 4 ：Simplify to get \(z = 1.4285714285714286\).
Step 5 ：Round to two decimal places to get the final answer: \(z = \boxed{1.43}\).
