the manufacturer of a new compact car claims that the car will average at least 35 miles per gallon in general highway driving. for 100 test runs, the car averaged 35.5 miles per gallon with a standard deviation of 2.5 miles per gallon. suppose that the manufacturer tests the following hypotheses: h subscript 0 : mu equals 35 h subscript 1 : mu greater than 35 consider the 1% significance level. what is the power of the test if the actual average fuel efficiency is 36 miles per gallon?