Sampling Dorm Residents. Students in the dormitories of a university in the state of New York live in clusters of four double rooms, called suites. There are 48 suites, with eight students per suite.

a. Describe a cluster sampling procedure for obtaining a sample of 24 dormitory residents.

b. Students typically choose friends from their classes as suitemates.

With that in mind, do you think cluster sampling is a good procedure for obtaining a representative sample of dormitory residents?

Explain your answer.

c. The university housing office has separate lists of dormitory residents by class level. The number of dormitory residents in each class level is as follows.

Number of Class level dorm residents Freshman 128 Sophomore 112 Junior 96 Senior 48 Use the table to design a procedure for obtaining a stratified sample (with proportional allocation) of 24 dormitory residents.