The Marriott Corporation operates the largest chain of hotel and motel properties in the world. The Fairfield Inn and the Residence Inn are just two of the hotel brands that Marriott owns. At a recent managers’ meeting, a question was posed regarding whether the average length of stay was different at these two properties in the United States. A summer intern was assigned the task of testing to see if there is a difference. She started by selecting a simple random sample of 100 hotel reservations from Fairfield Inn. Next, she selected a simple random sample of 100 hotel reservations from Residence Inn. In both cases, she recorded the number of nights’ stay for each reservation. The resulting data are in the file called Marriott.
a. State the appropriate null and alternative hypotheses.
b. Based on these sample data and a 0.05 level of significance, what conclusion should be made about the average length of stay at these two hotel chains?