Question
Boxplot Data Quick Check 5 of 55 of 5 Items Question Which method will result in reliable data collected from a sample that is representative of the entire population?(1 point) Responses Check every 20th product off an assembly line for defects. Check every 20th product off an assembly line for defects. Ask every 10th person leaving the art museum to see if they will attend the city’s art festival. Ask every 10th person leaving the art museum to see if they will attend the city’s art festival. Survey people at the airport if they prefer to travel long distances by car, train, or plane. Survey people at the airport if they prefer to travel long distances by car, train, or plane. Post a question on social media asking how many hours people spend online each day.
Answers
GPT-4o mini
To ensure data collected is from a sample that is representative of the entire population, the method should involve systematic or random sampling from a defined population that encompasses diverse perspectives.
Among the options provided:
1. **Check every 20th product off an assembly line for defects** - This is a systematic sampling method and can be reliable if the assembly line products are homogeneous.
2. **Ask every 10th person leaving the art museum to see if they will attend the city’s art festival** - This could provide a representative sample of museum-goers specifically but may not reflect the entire population of the city.
3. **Survey people at the airport if they prefer to travel long distances by car, train, or plane** - This may not be representative of the entire population since it only captures those who are traveling through the airport.
4. **Post a question on social media asking how many hours people spend online each day** - This method lacks randomness and may be biased towards social media users who may not represent the entire population.
Based on the goal of achieving a sample representative of the entire population, the most reliable method from the options given would be **"Check every 20th product off an assembly line for defects."** It involves systematic sampling from a specific production process, which is more likely to yield reliable data regarding defects in that context. However, keep in mind this applies to a specific situation (defects on an assembly line) and may not generalize to a broader population context. If the question intended a broader population context, the second option (asking every 10th person leaving the art museum) could be relevant depending on the goal of the sampling.
Among the options provided:
1. **Check every 20th product off an assembly line for defects** - This is a systematic sampling method and can be reliable if the assembly line products are homogeneous.
2. **Ask every 10th person leaving the art museum to see if they will attend the city’s art festival** - This could provide a representative sample of museum-goers specifically but may not reflect the entire population of the city.
3. **Survey people at the airport if they prefer to travel long distances by car, train, or plane** - This may not be representative of the entire population since it only captures those who are traveling through the airport.
4. **Post a question on social media asking how many hours people spend online each day** - This method lacks randomness and may be biased towards social media users who may not represent the entire population.
Based on the goal of achieving a sample representative of the entire population, the most reliable method from the options given would be **"Check every 20th product off an assembly line for defects."** It involves systematic sampling from a specific production process, which is more likely to yield reliable data regarding defects in that context. However, keep in mind this applies to a specific situation (defects on an assembly line) and may not generalize to a broader population context. If the question intended a broader population context, the second option (asking every 10th person leaving the art museum) could be relevant depending on the goal of the sampling.