Problem

Evaluate $z=\frac{x-\mu}{\sigma}$ if $x=192, \mu=179$, and $\sigma=6$

Answer

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Answer

\(\boxed{z=\frac{13}{6}}\) is the final result.

Steps

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.

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