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Travel + Leisure magazine presented its annual list of the 500 best hotels in the world (Travel + Leisure, January 2009). The magazine provides a rating for each hotel along with a brief description that includes the size of the hotel, amenities, and the cost per night for a double room. A sample of 12 of the top-rated hotels in the United States follows.
Hotel
Boulders Resort & Spa
Location
Phoenix, AZ
Rooms
220
Cost/Night
499
Disney's Wilderness Lodge
Orlando, FL
727
340
Four Seasons Hotel Beverly Hills
Los Angeles, CA
285
585
Four Seasons Hotel
Boston, MA
273
495
Hay-Adams
Washington, DC
145
Inn on Biltmore Estate
Asheville, NC
213
279
Loews Ventana Canyon Resort
398
Mauna Lani Bay Hotel
Island of Hawaii
343
455
Montage Laguna Beach
Laguna Beach, CA
250
595
Sofitel Water Tower
Chicago, IL
414
367
St. Regis Monarch Beach
Dana Point, CA
400
675
The Broadmoor
Colorado Springs, CO
700
420
a. What is the mean number of rooms?
b. What is the mean cost per night for a double room?
c. Develop a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis. Does there appear to be a relationship between the number of rooms and the cost per night? Discuss.
d. What is the sample correlation coefficient? What does it tell you about the relation- ship between the number of rooms and the cost per night for a double room? Does this appear reasonable? Discuss.
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