2. (7 marks) Nurse Florence claims that the number of hospital beds available differs between hospitals in the city. There are three hospitals: City Hospital, Good Hope Hospital and St. Mary's Hospital. She phones each hospital every week for a few weeks and records the number of available beds. (The sample sizes differ because the data was not gathered on certain days.) Assume that the data are from normal distributions and test Nurse Florence's claim at a = 0.05. City: 12, 17 Good Hope: 9, 10, 7, 4, 9 St. Mary's: 8, 7, 7