Question

categorize each of the following as simple random sampling, stratified sampling, systematic sampling, cluster sampling, or convenience sampling.

1. randomly select five high schools from different geographic regions and survey all students at each of the chosen schools.
2. survey each 10th student who walks in the front entrance of the school.
3. obtain a list of students enrolled at western high school. number these students and then use a random number table to obtain the sample.
4. obtain a list of students enrolled at a community college. draw a random sample from the horticulture students, transfer students, and nursing students.
5. survey the first five students who walk in the classroom.
6. once every year, a popular magazine surveys its readers using a mail - in response card, and, based on the results that are obtained from the responses, the magazine names the best - and worst - dressed celebrities of the year.

Explanation:

Question 27

Cluster sampling involves dividing the population into clusters (here, high schools from different regions are clusters) and then sampling all elements within the chosen clusters. So this is cluster sampling.

Systematic sampling is when we select every \( n \)-th element from the population. Here, we survey every 10th student, so it's systematic sampling.

Simple random sampling is when each element in the population has an equal chance of being selected, often done by numbering and using random number tables. Here, students are numbered and a random number table is used, so it's simple random sampling.

Answer:

Cluster Sampling

Question 28