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 gets the complete list of students at the college and surveys every 50th students on the list.
• 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 then uses a computer to randomly select 250 students. she then surveys these 250 students.
• 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.

Explanation:

To solve this, we identify each sampling technique by recalling their definitions:

1. Cluster Sampling

• Explanation: The administrator selects 9 classes (clusters) and surveys all students in these clusters.
• Strategy: "The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes."

2. Systematic Sampling

• Explanation: Every 50th student (a fixed interval) is surveyed from the list.
• Strategy: "The administrator gets the complete list of students at the college and surveys every 50th student on the list."

3. Convenience Sampling

• Explanation: The first 250 students who walk in (easiest to access) are surveyed.
• Strategy: "The administrator stands by the front door of the admissions department and asks the first 250 students who walk in."

4. Simple Random Sampling

• Explanation: A computer randomly selects 250 students from the complete list.
• Strategy: "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."

5. Stratified Sampling

• Explanation: The sample matches the ethnic group proportions (strata) of the college.
• Strategy: "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."

Final Matches:

• Cluster Sampling: The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes.
• Systematic Sampling: The administrator gets the complete list of students at the college and surveys every 50th student on the list.
• Convenience Sampling: The administrator stands by the front door of the admissions department and asks the first 250 students who walk in.
• Simple Random Sampling: 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.
• Stratified Sampling: 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.

Answer:

To solve this, we identify each sampling technique by recalling their definitions:

1. Cluster Sampling

• Explanation: The administrator selects 9 classes (clusters) and surveys all students in these clusters.
• Strategy: "The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes."

2. Systematic Sampling

• Explanation: Every 50th student (a fixed interval) is surveyed from the list.
• Strategy: "The administrator gets the complete list of students at the college and surveys every 50th student on the list."

3. Convenience Sampling

• Explanation: The first 250 students who walk in (easiest to access) are surveyed.
• Strategy: "The administrator stands by the front door of the admissions department and asks the first 250 students who walk in."

4. Simple Random Sampling

• Explanation: A computer randomly selects 250 students from the complete list.
• Strategy: "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."

5. Stratified Sampling

• Explanation: The sample matches the ethnic group proportions (strata) of the college.
• Strategy: "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."

Final Matches:

• Cluster Sampling: The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes.
• Systematic Sampling: The administrator gets the complete list of students at the college and surveys every 50th student on the list.
• Convenience Sampling: The administrator stands by the front door of the admissions department and asks the first 250 students who walk in.
• Simple Random Sampling: 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.
• Stratified Sampling: 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.