Question

you have read about reasons as to why we sample rather than working with entire populations. you have also now worked with a few sampling methods. for each method discussed, describe a scenario/example(it can be about anything you like) that properly demonstrates that methodology. simple random sampling: systematic sampling: stratified sampling:

Explanation:

• Simple Random Sampling: Selecting participants for a survey from a large group of people (e.g., 1000 students in a school) by using a random number generator to pick 100 students. Each student has an equal chance of being selected.
• Systematic Sampling: In a factory with 5000 products on a conveyor belt, every 50th product is selected for quality - control inspection. After randomly choosing a starting point (e.g., the 15th product), then products 15, 65, 115, etc., are inspected.
• Stratified Sampling: A university wants to survey students' opinions on a new policy. The student population is divided into strata (e.g., freshmen, sophomores, juniors, seniors). Then, a proportionate number of students is randomly selected from each stratum. For example, if freshmen make up 25% of the student body, 25% of the sample is selected from freshmen.

Answer:

• Simple Random Sampling: Selecting participants for a survey from a large group of people (e.g., 1000 students in a school) by using a random number generator to pick 100 students. Each student has an equal chance of being selected.
• Systematic Sampling: In a factory with 5000 products on a conveyor belt, every 50th product is selected for quality - control inspection. After randomly choosing a starting point (e.g., the 15th product), then products 15, 65, 115, etc., are inspected.
• Stratified Sampling: A university wants to survey students' opinions on a new policy. The student population is divided into strata (e.g., freshmen, sophomores, juniors, seniors). Then, a proportionate number of students is randomly selected from each stratum. For example, if freshmen make up 25% of the student body, 25% of the sample is selected from freshmen.