New employees at a company are given a proficiency test. The test scores are approximately normally distributed with a mean of \(300\) and a standard deviation of \(20\).

A new employee scores \(282\) on the exam. What is the employee's \(z\)-score?

Housing prices in a small town are normally distributed with a mean of \(\$ 146{,}000\) and a standard deviation of \(\$ 7{,}000\). Use the empirical rule to complete the following statement.

Approximately \(68\%\) of housing prices are between a low price of \(\$\) and a high price of \(\$\).