91Ó°ÊÓ

For each of the situations described, state whether the sampling procedure is simple random sampling, stratified random sampling, cluster sampling, systematic sampling, or convenience sampling. a. All first-year students at a university are enrolled in 1 of 30 sections of a seminar course. To select a sample of freshmen at this university, a researcher selects four sections of the seminar course at random from the 30 sections and all students in the four selected sections are included in the sample. b. To obtain a sample of students, faculty, and staff at a university, a researcher randomly selects 50 faculty members from a list of faculty, 100 students from a list of students, and 30 staff members from a list of staff. c. A university researcher obtains a sample of students at his university by using the 85 students enrolled in his Psychology 101 class. d. To obtain a sample of the seniors at a particular high school, a researcher writes the name of each senior on a slip of paper, places the slips in a box and mixes them, and then selects 10 slips. The students whose names are on the selected slips of paper are included in the sample. e. To obtain a sample of those attending a basketball game, a researcher selects the 24 th person through the door. Then, every 50 th person after that is also included in the sample.

Step by step solution

01

Identifying the Sampling Procedure for Situation A

This represents an instance of Cluster Sampling. In this situation, the 'clusters' are the seminar sections. Four seminar sections (or clusters) are randomly picked and all elements within these clusters—in this case, all students within these sections—are included in the sample.

02

Identifying the Sampling Procedure for Situation B

In this situation, Stratified Random Sampling is being employed. The population is segmented into three groups or strata—students, faculty, and staff—and then random samples are drawn from each stratum separately.

03

Identifying the Sampling Procedure for Situation C

This is an example of Convenience Sampling. The researcher has chosen a sample that is readily and easily accessible to him—students in his Psychology 101 class. This method is based on convenience, rather than randomness.

04

Identifying the Sampling Procedure for Situation D

This scenario represents Simple Random Sampling. Every senior student has an equal chance of being selected, which is ensured by the random drawing of names written on slips of paper.

05

Identifying the Sampling Procedure for Situation E

This is an example of Systematic Sampling. According to the scenario, the sample is selected by choosing a random start point (24th person) and then selecting every nth (50th) person from that point onwards.

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