1.A hospital human resource manager claims the mean commute time (one way) is 23.2 minutes for nurses. You feel the commute time is less and want to investigate. The mean for 25 randomly selected nurses is 22 minutes with a standard deviation of 4.8 minutes. At the = 0.01 level, is the commute significantly less than the human resource manager's mean commute time? State your conclusion and provide evidence to back up your claim.

2.A random survey of 50 employees revealed that the mean age of an employee is 39.8 years with a standard deviation of 7.9 years. Conduct a hypothesis test with = 0.05 to determine if the population mean age of an employee could likely be 36 years. State your conclusion and provide evidence to back up your claim.