A company decides to offer a monetary incentive for employees who log a specified number of hours spent exercising in an attempt to improve employee health. The average health score (higher = better) of the 45 employees who logged enough hours was 89. The mean health score for all employees was 85, with a standard deviation of 6.1.

Conduct the z-test. Show your work (use at least two decimal places throughout).

What is the z score?

What is the z critical value?