Math Problem Statement
Employees at a website want to select a sample of their users to ask for a donation. They randomly select one of the first [25] users each day and show them a message asking for a donation. They also show the message to every [25^\text{th}] user from that point on. What type of sample is this? Choose 1 answer: Choose 1 answer: (Choice A) Simple random sample A Simple random sample (Choice B) Stratified random sample B Stratified random sample (Choice C) Cluster random sample C Cluster random sample (Choice D) Systematic random sample D Systematic random sample (Choice E) None of the above E None of the above
Solution
The correct answer is:
(Choice D) Systematic random sample.
Explanation:
- Systematic sampling involves selecting every individual from a population after a randomly chosen starting point. In this case:
- A random start is chosen (one of the first 25 users).
- From that point on, every 25th user is selected for the donation message.
This process perfectly matches the definition of a systematic random sample.
Would you like further clarification on systematic sampling?
Related Questions:
- What is the difference between systematic sampling and simple random sampling?
- How does stratified sampling work, and when is it used?
- Can systematic sampling introduce bias? Why or why not?
- What is an example of a real-world application of cluster sampling?
- How does randomization improve the accuracy of sampling?
Tip: In systematic sampling, make sure the interval is appropriate to avoid patterns that might bias the sample.
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Math Problem Analysis
Mathematical Concepts
Sampling Methods
Systematic Sampling
Formulas
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Theorems
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Suitable Grade Level
Grades 10-12