Question

1. 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 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? Discuss

B. What is the advantage of selecting a simple ranadom sample in (1)? why

C. What is the advantage of selecting a systematic sample in (1)? why

D. If the frame available from the registrars files is a list of the names of all N =4,000 registered full-time 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? Discuss

E. Suppose that each of the N= 4,000 registered full-time students lived in one of the 10 campus dormitories. Each dormitory accomodates 400 students. Is it 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 sample.

Answer 1

A.

A simple random sample is a relaxed method to draw items. In this method, each item receives an equal chance of being included in the chosen sample. If the frame available from the registrars files is an alphabetical listing of the names of all N=4,000 registered full-time students, so the appropriate sample can be used to select students is simple random sample.

B.

In the given study, the advantage of selecting a sample of 200 students out of the 4000 students by using the simple random technique is that it is the simplest and biased free as it given equal chance to every student.

C.

In the given study, the advantage of selecting a sample of 200 students out of the 4000 students by using the systematic sampling technique is that it is the simplest and selects observation at equally spaced intervals so it provides the error free sample; that is, it provides the ample of high precision.

D.

The sample is said to be stratified if the observations are selected from distinct homogeneous strata (or subgroups).

If the listed names of students is divided, based on the gender and class designation, then the appropriate technique to draw sample is stratified sample.

E.

Cluster sampling refer to be sampling done on the basis of area. In this method, samples are selected from the subgroups of heterogeneous nature.

Each dormitory accommodates 400 students. If we integrate students by gender and class designation in each dormitory and the students are listed in a register as per dormitory, so the appropriate technique to draw sample is cluster sample.