A recent study was aimed at determining whether people with increased workers' compensation stayed off the job longer than people without the increased benefits. Suppose that the average time off per employee per year is known to be 3.1 days.
A random sample of 21 employees with increased benefits yielded the following number of days spent off the job in one year: 5, 17, 1, 0, 2, 3, 1, 1, 5, 2, 7, 5, 0, 3, 3, 4, 22, 2, 8, 0, 1. Conduct the appropriate test, and state your conclusions.