1. Suppose Professor of business branches out of his field of expertise, and attempts to teach a class on ethics. Suppose that only 9 students take the course giving him ratings of 2, 2, 2, 3, 3, 4, 5, 6, and 7. Taking this as a random sample from the population mean rating of Professor's ability to teach ethics. Find a 95% confidence interval for the mean rating for Professor.