What is the advantage and disadvantage of selecting a simple random sample in (a)?

Homework Assignment 1

The registrar of the university with the population of N = 4,000 full-time students is asked by the president to conduct a survey satisfaction with quality of life on campus. The following table contains a breakdown of 4,000 registered full-time students by gender and class designation:

Class Designation
Gender Fr. Soph. Jr. Sr. Total
Female 700 520 500 480 2200
Male 560 460 400 380 1800
Total 1,260 980 900 860 4000

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

  1. If the frame available from the registrar’s files is an alphabetical list of the names of N= 4000 registered students, what type of sample could you take?
  • What is the advantage and disadvantage of selecting a simple random sample in (a)?
  • What is the advantage and disadvantage of systemic sample in (a)?
  • If the frame available from the registrar’s files is a list of the names of all N = 4,000 students compiled from eight separate alphabetical lists, based on the gender and class designation breakdowns shown in the above table, what type of sample should you take? Why?
  • Suppose that each of the N = 4,000 students lives in one of the 10 campus dormitories. Each dormitory accommodates 400 students. It is the 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, explain how you could take a cluster.
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