The registrar of a college with a population of n= 4,200 students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. the accompanying table contains a breakdown of the 4,200 registered students, by gender and class designation. the registrar intends to take a probability sample of n= 100 students and project the results from the sample to the entire population of full-time students. complete parts (a) through (d).a. suppose the frame available from the registrar's files is an alphabetical listing of the names of all n = 4,200 registered students. note that a simple random sample, a systematic sample, a stratified sample, or a cluster sample could be taken. what is the advantage of selecting a simple random sample? a. it is one of the simplest to select since the population frame is the file of 4,200 names. b. it is the easiest to select by hand from the registrar's file of 4,200 names. c. it is the method that is most likely to give a true representative sample. d. it requires the least amount of time and effort. thus, it is also the cheapest. b. if the frame is the same as in (a), what is the advantage of selecting a systematic sample? a. it is the method that is most likely to give a true representative sample. b. the percentages of males and females in the sample will approximately match the population, as well as the percentages of the different class designations. c. it requires the least amount of time and effort. thus, it is also the cheapest. d. it is the easiest to select by hand from the registrar's file of 4,200 names. c. if the frame available from the registrar's files is a listing of the names of all n= 4,200 registered students compiled from eight separate alphabetical lists, based on the gender and class designation breakdowns shown in the class designation table, what type of sample should you take? a. a stratified sampleb. a simple random samplec. a cluster sampled. a systematic sampled. suppose that each of the n= 4,200 registered students lived in one of the 20 campus dormitories. each dormitory accommodates 210 students. it is college policy to fully integrate students by gender and class designation in each dormitory. if the registrar is able to compile a listing of all students by dormitory, what type of sample should you take? a. a simple random sampleb. a cluster samplec. a stratified sampled. a systematic sample