Question 5 According to the Australian Bureau of Statistics (ABS), the population average length of stay by tourists in Hobart's hotels, motels and serviced apartment is 3.2 days, with a population standard deviation of 1.6 days. A sample of 64 randomly selected tourists is taken. Answer the following questions. a) What is the distribution of the average length of stay for the 64 tourists in the sample? Name the theorem that you use to decide the type of this distribution. [2 marks] b) Calculate the probability that the average length of stay for the sample of 64 tourists is between 2.8 days and 3.2 days. 2 ? [4 marks] c) Determine the minimum value of the average length of stay, for the sample of 64 tourists, for the 5% of the tourists who stayed longest? [4 marks] [Question 5 = 10 marks]