A hotel has 30 floors with 40 rooms per floor. The rooms on one side of the hotel face the water, while rooms on the other side face a golf course. There is an extra charge for the rooms with a water view. The hotel manager wants to survey 120 guests who stayed at the hotel during a convention about their overall satisfaction with the property. (a) Explain why choosing a stratified random sample might be preferable to an SRS in this case. What would you use as strata? (b) Why might a cluster sample be a simpler option? What would you use as clusters?
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By dividing the population into strata based on the room view (water view or golf course view), we can ensure that both types of rooms are adequately represented in the sample. This is important because the satisfaction levels of guests staying in rooms with a Show more…
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Michigan Stadium, also known as "The Big House," seats over 100,000 fans for a football game. The University of Michigan athletic department plans to conduct a survey about concessions that are sold during games. Tickets are most expensive for seats on the sidelines. The cheapest seats are in the end zones (where one of the authors sat as a student). A map of the stadium is shown. (a) The athletic department is considering a stratified random sample. What would you recommend as the strata? Why? (b) Explain why a cluster sample might be easier to obtain. What would you recommend for the clusters? Why?
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