Question

Consider that I have 4 sections of Stat 200. Section 001 has 40 students, section 002 has 40 students, section 003 has 30 students, and section 004 has 40, for a total of 150 students. I'd like to do a satisfaction survey with a sample size of 30, but I suspect that the section may change students' satisfaction with the course. a. Which sampling techniques could I use to ensure I get a representative sample from each section? (Check the two best answers!) A. Systematic Sampling B. Cluster Sampling C. Simple Random Sampling D. Stratified Sampling

Answer 1

B. Cluster Sampling

D. Stratified Sampling

Explanation:

B. Cluster Sampling: In cluster sampling, you divide your population (in this case, the students) into clusters (the sections) and randomly select some of those clusters for your sample. This method allows you to ensure representation from each section. You would randomly select a few sections (clusters) and survey all the students within those selected sections.

D. Stratified Sampling: In stratified sampling, you divide your population into subgroups (strata) based on certain characteristics (in this case, sections). Then, you randomly select samples from each subgroup in proportion to their size in the population. This ensures that each section is represented according to its proportion in the total population.

These methods will help you obtain a representative sample from each section while accounting for the different sizes of the sections in your Stat 200 course.