Question

a college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. match the strategies to their corresponding sampling techniques.

• the administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes.
• the administrator stands by the front door of the admissions department and asks the first 250 students who walk in.
• the administrator gets the complete list of students at the college and surveys every 50th students on the list.
• the administrator researches the ethnic make - up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college.
• the administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. she then surveys these 250 students.

Explanation:

To solve this, we analyze each strategy against sampling technique definitions:

1. "The administrator goes into 9 classes... asks all students in each"

• Cluster Sampling: Classes are clusters (groups), and all in selected clusters are surveyed.

2. "The administrator stands by the front door... asks the first 250"

• Convenience Sampling: Uses easily accessible (convenient) subjects (students at admissions door).

3. "The administrator gets the list... surveys every 50th student"

• Systematic Sampling: Selects every \( k \)-th (here, \( k = 50 \)) element from a list.

4. "The administrator researches ethnic make - up... matches proportions"

• Stratified Sampling: Divides population into strata (ethnic groups) and samples to match population proportions.

5. "The administrator gets the list... randomly selects 250"

• Simple Random Sampling (SRS): Randomly selects from the entire population list.

(matching each strategy to technique):

1. Cluster Sampling: Selects clusters (classes) and surveys all in them.
2. Convenience Sampling: Uses easily available students (at admissions door).
3. Systematic Sampling: Selects every 50th student from the list.
4. Stratified Sampling: Matches ethnic group proportions in the sample.
5. Simple Random Sampling: Randomly selects 250 from the full student list.

Answer:

(matching each strategy to its sampling technique):

1. Cluster Sampling
2. Convenience Sampling
3. Systematic Sampling
4. Stratified Sampling
5. Simple Random Sampling