19. Cheaper Airfares Looking for a great airfare?

Perhaps you could lower your costs by checking fares at airports that might be slightly farther from your home, but where fares are lower. For example, the average of all domestic ticket prices at Los Angeles International Airport (LAX) was quoted11 as $341.50 compared to an average price of $267.76 at nearby Hollywood Burbank Airport (BUR). Suppose that these estimates were based on random samples of 100 domestic tickets at each airport and that the standard deviation of the prices at both airports was $200.

a. Is there sufficient evidence to indicate that the mean ticket prices differ for these two airports at the a 5.05 level of significance? Use the large-sample z-test. What is the p-value of this test?

b. Is the statistical conclusion in part a of practical importance to the traveler? Explain your answer.