Your instructor and your class have made a deal on the exam just taken and currently being graded. If the class attains a mean score of 74 or better, there will be no homework on the coming weekend. If the class mean is 72 or below, then not only will there be homework as usual but all of the class members will have to show up on Saturday and do 2 hours of general cleanup around the school grounds as a community service project.

There are 15 students in your class. Your instructor has graded the first 14 exams, and their mean score is 73.5. Your exam is the only one left to grade.

a. What score must you get in order for the class to win the deal?

b. What score must you get in order that the class will not have to do the community service work?