Question: Deciding on a Distribution In Exercises 37 and 38, decide whether you should use a normal sampling distribution or a sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test and what you can conclude about the claim.

Gas Mileage A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon (mpg).You believe the claim is incorrect and find that a random sample of five cars has a mean gas mileage of 19 mpg and a standard deviation of 4 mpg. Assume the gas mileage of all of the company’s luxury sedans is normally distributed. At test the company’s claim. (Adapted from Consumer Reports)