8.21. It is believed that if you purchase an air ticket at least three months in advance, price is cheaper compared to the price if you purchase it a few days before the trip. To test this claim, a random sample of 40 passengers who booked their air ticket three months before the trip (group 1] and a random sample of 50 passengers who booked their air ticket a few days before the trip [group 2) are selected. Here, we consider the same airline and the same destination. The average ticket price for group 1 is $295.89 with a standard deviation of $4816. The average air ticket price for group 2 is $304.76 with a standard deviation of $59.05. Conduct a hypothesis test at 5% level of significance to determine if air tickets are cheaper if you purchase them at least 3 months in advance compared to a few days before the trip