Question

How is your room? A hotel has 30 floors with 40 rooms 1259 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 select 120 rooms and survey the registered guests in each of the selected rooms about his or her overall satisfaction with the property. Describe how to obtain a sample of 120 rooms using stratified random sampling. Explain your strata and why this method might be preferred to simple random sampling. Describe how to obtain a sample of 120 rooms using cluster sampling. Explain your choice of clusters and why this method might be preferred to simple random sampling.

Answer 1

To obtain a sample of 120 rooms, the hotel manager can use stratified random sampling by dividing the rooms into two strata based on their view, or cluster sampling by dividing the hotel into clusters based on the floors.

Step-by-step explanation:

To obtain a sample of 120 rooms using stratified random sampling, the hotel manager can divide the rooms into two strata based on their view: water-facing and golf course-facing.Then, the manager can randomly select 60 rooms from each stratum to form a sample of 120 rooms. This method might be preferred to simple random sampling because it ensures representation from both types of views, which can provide a more comprehensive understanding of overall satisfaction with the property based on the different room views.

To obtain a sample of 120 rooms using cluster sampling, the manager can divide the hotel into clusters based on the floors. Then, the manager can randomly select a certain number of clusters (e.g. 8 clusters) and include all the rooms on those clusters in the sample. This method might be preferred to simple random sampling because it allows for easier implementation and reduces costs, as the manager only needs to survey the registered guests in the selected clusters instead of the entire hotel.