Use the information given in question 41, except this time assume that the standard deviation is not known and that 3.2 miles per gallon represents the sample standard deviation. Again test, at the .01 level of significance, the alternative hypothesis that the population mean is at least 35 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.