A random sample of 12 second-year university students enrolledin a business statistics course was drawn. At the course’scompletion, each student was asked how many hours he or she spentdoing homework in statistics. The data are listed here. It is knowthat the population standard deviation is 8. The instructor hasrecommended that the students devote 36 hours to the course for thesemester. Test to determine at the 1% significance level whetherthere is evidence that the average student spent less than therecommended amount of time. 31 40 26 30 36 38 29 40 38 30 35 38