A psychologist administers a measure of self-esteem to students at the University of Michigan after they have lost yet another football game to the ohio state university. It is known that scores on this measure of self-esteem have a population mean of u=45. The measure was administered to n=25 participants who generate a sample mean of M= 40.5 with a SS= 2400. a) Construct a 95% confidence interval of the population mean of self-esteem for Michigan students. b) Based on your interval, do Michigan students have lower self-esteem than the national average? How do you know?