The registrar of a college with a population of N=4,000 students is asked by the president to cond


Question: 7 The registrar of a college with a population of N=4,000 students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. The table contains a breakdown of the 4,000 registered students by gender and class designation:

Class Designation

Gender Fr. So. Jr. Sr. Total
Female 700 520 500 480 2,200
Male 560 460 400 380 1,800
Total 1260 980 900 860 4,000

The registrar intends to take a probability sample of n= 200 students and project the results from the sample to the entire population of students.

a. If the frame available from the registrars files is an alphabetical listing of the names of all N= 4,000 registered full-time students, what type of sample could you take?

b. What is the advantage of selecting a simple random sample?

c. What is the advantage of selecting a systematic sample?

d. If the frame available from the registrar’s files is a listing of the names of all N= 4,000 registered full time students compiles from eight separate alphabetical lists. Based on the gender and class designation breakdowns, what type of sample should you take?

e. Suppose that each of the N= 4,000 registered full time students lived in one of the 20 campus dormitories. Each dormitory contains 4 floors, with 50 beds per floor and therefore accommodates 200 students. It is college policy to fully integrate students by gender and class designation of each floor of each dormitory. If the registrar is able to compile a frame through a listing of all student occupants on each floor within each dormitory, what type of sample would you take.

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