Question

according to the bureau of labor statistics, in may 2014 the mean hourly wage of a social worker was $28.08 with a standard deviation of $1.97. jeronica is a social worker with an hourly wage of $31.60. what is jeronica’s z - score? (round your answer to 2 decimal places.)

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We have $\mu = 28.08$, $\sigma=1.97$, and $x = 31.60$.

Step3: Substitute values into formula

$z=\frac{31.60 - 28.08}{1.97}=\frac{3.52}{1.97}\approx1.79$.

Answer:

$1.79$