9. [10 marks] A manager of a rm in Ottawa has collected the following two sample information Sample 1 Sample 2 n1 2 15 112 = 15 5:1 : 2255 1"; : 2140 31 = 545 32 = 703 and wishes to test the following null and alternative hypothESes using a signicance level of or = 0.05 HU:#1_#2:\" (1) Ha : Ft \" #2 35 9 Though he learned Business Statistics from his undergraduate stud}.r a few years ago at Carleton University, very unfortunately he really has no any idea to do the test since he did a very poor job on the course. The manager decided to consult some of the students in ECON 2210. Two students A, B gave him some suggestions to do the test. By the way, based on his experiences, the manager strongly believes that the two populations would be normally distributed. (a) (5 marks} Student A told the manager that since there is no any information about the two population stande deviations 01 and 0'2, to do the test, we have to assume 01 = 02. Please do test (1) based on student A's suggestion. {b} (5 marks) Student 3 told the manager that since there is no any information about the two population standard deviations in and 02, to do the test, we have to assume a1 y 02. Please redo test (1) based on student B's suggestion