Refer to question 41 to find the power of a 10 % level test when the true population mean mileage is 36 miles per gallon.

Question 41

An automobile manufacturer claims that a new car gets an average of 35 miles per gallon. Assume that the distribution is known to be normal with a standard deviation of 3.2 miles per gallon. A random sample of 10 cars gives an average of 35.1 miles per gallon. Test, at the .01 level of significance, the alternative hypothesis that the population mean is more than 35 miles per gallon.