ASSIGNMENT 2 (BIOSTATISTICS) 1. A car company claims that the mean gas mileage for its luxury sedan is at least 23 miles per gallon. You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 22 miles per gallon and a standard deviation of 4 miles per gallon. At a = 0.05, test the company's claim. Assume the population is normally distributed. (5 marks) 2. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table at the left. At a = 0.01, can you reject the dean's claim? (5 marks) 3. Given a null hypothesis and three confidence intervals that represent three samplings. Determine whether each confidence interval indicates that you should reject Ho. Explain your reasoning. Ho: U S 54 (a) 53.5