A large introductory marketing class has 340 students. The class is divided up into 10 groups for the final course project. Connie is in a group of 34 students. These students had averaged 72 on the midterm, when the class as a whole had an average score of 73 with a standard deviation of 10. Connie is concerned that her group is not very good.

a. Calculate the expected value and the standard deviation of the sample mean.

b. How likely is it that a random sample of 34 students will average 72 or lower? L056