John is a street performer and each day he performs music for two hours at one of five locations around the city in which he lives. John wonders whether the amount of money he collects from crowd donations differs between locations. To investigate, at each location, John selected a random sample of nine days on which he performed and he counted how much money he collected on each day. Some sample statistics are displayed in the table below. John is comfortable assuming that, at each location, the amount of money he collects on any given day is normally distributed. Beach '33 = 51 22;, 13, = 23661 Cafe District. Y}: = 59 2:321 LEI = 31549 Downtown Mall FD = 69 :1 YEM- = 42931 Entertainment. Park 7;; : 76 Z; 13.,- : 52955 Use the information above when answering parts A and B. A. [4 marks] Test whether the population variance of the amount of money that John collects on any given day is the same at the beach and at the cafe district. Clearly state your hypotheses and use a significance level of n- = 5%. B. [3 marks] Calculate an 80% confidence interval for the difference in the mean amount of money that John collects on any given day between the beach and the cafe district. Give a clear interpretation of this confidence interval