Step 1 :Substitute the given values into the formula: \(z=\frac{x-\mu}{\sigma}=\frac{192-179}{6}\)
Step 2 :Simplify the numerator: \(192-179=13\)
Step 3 :Substitute the simplified numerator back into the equation: \(z=\frac{13}{6}\)
Step 4 :\(\boxed{z=\frac{13}{6}}\) is the final result.