Answer: 1.79
Explanation:
Let x = hourly wage for a social worker. Then, the z-score for x is given by
[tex]\text{z - score} = \frac{x - \mu}{\sigma} [/tex]
where
[tex]\mu = \text{ mean hourly wage of a social worker }= \$ 28.08
\\ \sigma = \text{ standard deviation of the wage of the social worker }= \$ 1.97[/tex]
Since Jeronica's salary is $31.60, the z-score of Jeronica's is given by
[tex]\text{z - score} = \frac{x - \mu}{\sigma}
\\
\\ \text{z - score} = \frac{31.60 - 28.08}{1.97}
\\
\\ \boxed{\text{z - score} = 1.79}[/tex]
