1.73 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 proce- dure for obtaining a representative sample of dormitory residents? Explain your answer. c. The university housing office has separate lists of dormitory res- idents 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 sam- ple (with proportional allocation) of 24 dormitory residents.134 Best High 51th In an issue of Nun-wheel: (Vol. CXLV. No. 2!}, pp. 4357). B. Kantt'owitz listed \"The l best high schools in America" according to a ranking devised by .l. Mathews. An other characteristic measured from the high school is the percent free lunch, which is the percentage of student hodgyr that is eligible for free and reducedprice lunches. an indicator of socioeconomic status. A percentage of Lillie or more generally signies a high concentration of children in poverty. The top [DUI schools, grouped according to their percent free lunch, is as follows. Percent free Number of top 100 lunch ranked high schools (IIunder ll} 50 lunder 2t} 13 Iii-under 312} l I 3tlunder 4!} ii 4i} or over 13 a. Use the table to design a procedure for obtaining a stratied sam- ple [with proportional allocation} of 25 high schools from the list of the top ll} ranked high schools. 11. If stratied random sampling with proportional allocation is used to select the sample of 25 high schools. how many would he selected from the stratum with a percent-free-lunch 1Iralue of BID-u nder 4U