Question: The Hyatt Gold Passport is a card designed to allow frequent guests at Hyatt hotels to enjoy privileges similar to the ones enjoyed by frequent air travelers. When the program was initiated, a random sample of 15 Hyatt Gold Passport members were asked to rate the program on a scale of 0 to 100 and also to rate (on the same scale) an airline frequent-flier card that all of them had. The results are as follows.
Hyatt card: 98, 99, 87, 56, 79, 89, 86, 90, 95, 99, 76, 88, 90, 95
Airline card: 84, 62, 90, 77, 80, 98, 65, 97, 58, 74, 80, 90, 85, 70
Is the Hyatt Gold Passport better liked than the airline frequent-flier card by holders of both cards? Explain.