Motivating learning A statistics professor has observed that, for several years, students score an average of 67 points out of 100 on the semester exam.

A colleague suggested implementing regular graded assignments to help the students prepare progressively for the exam and give them a chance to improve their grade. This would require a lot of preparation and follow-up on behalf of the professor.

a) Is this a one-tailed or two-tailed test? Explain.

b) Write the null and alternative hypotheses.

c) In this context, explain what would happen if the professor makes a Type I error.

d) In this context, explain what would happen if the professor makes a Type II error.

e) What is meant by the power of this test?