Question

The manager of a large ocean front hotel would like to survey their guests to determine their satisfaction with the view from their room. The hotel has 10 floors. Half of the rooms overlook the ocean and the other half overlook the street. There are 50 rooms on each floor, for a total of 500 rooms. The hotel manager would like to select a sample of 50 rooms.

Explain benefits of using a stratified random sample, a cluster random sample, and a systematic random sample in this context.

Answer 1

The benefits of using a stratified random sample, a cluster random sample, and a systematic random sample in the context of the hotel survey.

Step-by-step explanation:

In the context of the hotel survey, the benefits of using a stratified random sample would be that it ensures that the sample is representative of the population on each floor. This means that the survey will have equal representation from both ocean-view and street-view rooms on each floor, providing a fair and accurate assessment of satisfaction. A cluster random sample could be beneficial if the hotel wanted to survey specific floors or sections of the hotel. This method allows for efficient data collection by selecting clusters of rooms rather than individual rooms. Lastly, a systematic random sample could be beneficial as it involves selecting rooms at regular intervals, such as every 10th room, ensuring that the sample is evenly distributed throughout the hotel and reduces bias.