It is known that, nationally, doctors working for health maintenance organizations (HMOs) average 13.5 years of experience in their specialties, with a standard deviation of 7.6 years. The executive director of an HMO in a Western state is interested in determining whether or not its doctors have less experience than the national average. A random sample of 121 doctors from HMOs shows a mean of only 10.9 years of experience. 14. State the research and the null hypotheses to test whether or not doctors in this HMO have less experience than the national average (5 pts). 15. Using an alpha level of .01, calculate this test (5 pts). Problem set 5: use the following information to answer questions 16-17 (10 points total): Consider the problem facing security personnel at a military facility in the southwest. Their job is to detect infiltrators (spies trying to break in). The facility has an alarm system to assist the security officers. However, sometimes the alarm doesn't work properly, and sometimes the officers don't notice a real alarm. In general, the security personnel must decide between these two alternatives at any given time: Ho: Everything is fine; no one is attempting an illegal entry. H1: There are problems; someone is trying to break into the facility. Based on 16. A "missed alarm" is a type_ error, and its probability of occurrence is denoted as . Please explain why (5 pts)? 17. A "false alarm" is a Type _error, and its probability of occurrence is denoted as Please explain why (5 pts)