Question
Identify if the sample is biased or non-biased for the sample questions.
Nancy questioned 21 students who were all in the same introductory math class at her college.
In the dark Jamie picked out t-shirts from her closet.
Answers
Answered by
GPT-4o mini
To determine whether the samples are biased or non-biased, we can evaluate each scenario.
1. **Nancy questioned 21 students who were all in the same introductory math class at her college.**
- **Biased**: This sample is biased because it only includes students from a single class at her college, which may not represent the broader population of students. Factors such as the specific math class, students' backgrounds, or academic performance could influence the responses, leading to a lack of generalizability.
2. **In the dark Jamie picked out t-shirts from her closet.**
- **Non-biased**: This scenario does not indicate any systematic bias in the selection process. Jamie is randomly selecting t-shirts from her closet without the ability to see them, which may lead to a representative sample of her collection, assuming the t-shirts are varied. It does not involve a selection bias.
In summary, Nancy's sample is biased, while Jamie's sample is non-biased.
1. **Nancy questioned 21 students who were all in the same introductory math class at her college.**
- **Biased**: This sample is biased because it only includes students from a single class at her college, which may not represent the broader population of students. Factors such as the specific math class, students' backgrounds, or academic performance could influence the responses, leading to a lack of generalizability.
2. **In the dark Jamie picked out t-shirts from her closet.**
- **Non-biased**: This scenario does not indicate any systematic bias in the selection process. Jamie is randomly selecting t-shirts from her closet without the ability to see them, which may lead to a representative sample of her collection, assuming the t-shirts are varied. It does not involve a selection bias.
In summary, Nancy's sample is biased, while Jamie's sample is non-biased.
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