Suppose you've just been hired as a statistics professor, butyou've never taught undergrads before. Whileyou're doing your best, you're not sure you're fully up to par with all the other excellent statistics professors out there. You decide to look at your 41 students' grades on their midterm exam. They averaged grades of 81 on this exam, with a standard deviation of 10. You reason that if they're higher than normal, you might be making things too easy for them. Likewise, if they're lower than normal, you might be making things too hard. Seeking a Goldilockseffect, you compare this with the national average of statistics midterm exam scores - this is 79.

a)

BEING SPECIFIC, what kind of statistical analysis should you perform, and WHY?

Three parts of your answer will factor into the grade on this answer: the type of statistical test, one specific aspect of this test (hint- see the earlier questions), and your explanation as to why.

b) Assuming an alpha level of 0.01, what are your critical value and obtained statistics?

c) Two part question: A) What do you conclude from the results of your analysis? B) What does this mean for you and your career/performance as a statistics professor?