Question: For the next several questions, suppose annual salaries for GS-4 employees have a mean of $32,500 and a standard deviation of $2,500. Calculate the z-score

For the next several questions, suppose annual salaries for GS-4 employees have a mean of $32,500 and a standard deviation of $2,500.

Calculate the z-score for a GS-4 employee who makes $36,000.

What does this value mean?

Suppose that the distribution of annual salaries for GS-4 employees is bell-shaped. A GS-4 employee is marked as making $42,000. Should this salary be considered an outlier? Why or why not?

According to the empirical rule, what percentage of GS-4 employees would you expect to make between $30,000 and $35,000?

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