The marriott corportation 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 selecteing 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 here: