Math Problem Statement
Solution
In this question, your friend is conducting a survey by randomly selecting 50 students from each of the first-year, second-year, third-year, and fourth-year groups. This method is an example of a stratified sample.
A stratified sample is used when the population is divided into distinct subgroups (called strata), and then a random sample is taken from each stratum. In this case, the strata are the different year levels of students (first-year, second-year, etc.).
Would you like a more detailed explanation or have any other questions?
Here are five related questions to explore:
- What is the difference between a stratified sample and a simple random sample?
- How would you determine the appropriate sample size for each stratum in a stratified sample?
- What are the advantages of using stratified sampling over cluster sampling?
- In what situations would stratified sampling be preferable to other sampling methods?
- How can you ensure that your random selection from each stratum is truly random?
Tip: Stratified sampling is especially useful when you want to ensure representation from all subgroups in a population.
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Math Problem Analysis
Mathematical Concepts
Statistics
Sampling Methods
Stratified Sampling
Formulas
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Theorems
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Suitable Grade Level
University level (Introductory Statistics)