Type of the sampling process to be used and its advantages.
The registrar of a college with a population of N=4,000 full-time students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. The table below contains a breakdown of the 4,000 registered full time 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
|
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.
a. If the frame available from the registrar\'s files is an alphabetical listing of the names of all N=4000 registered full time students, what type of sample could you take? Discuss.
b. What is the benefit of selecting a simple random sample in(a)?
c. What is the benefit of selecting a systematic sample in (a)?
d. If the frame available from the registrar\'s file is a listing of the names of all N=4000 registered full time students compiled from eight separate alphabetical lists, based on the gender and class designation breakdown shown in the class designation table, what type of sample should you take? Discuss.
Assume that each of the N=4,000 registered full time students lived in one of the 20 campus dormitories. Each dormitory contains four floors, with 50 beds per floor, and therefore accommodates 200 students. It is college policy to fully integrate students by gender and class designation on each floor within each dormitory, what sort of sample should you takes? Discuss.