Question
a city’s parks and recreation department wants to evaluate how many of its 4,750 publuc park bemches need repairs. which of the following is a random samole of benches to be inspected? 950 benches from the eight parks with the highest foot traffic 950 benches from the eight parks with the highest foot traffic 125 benches randomly selected from each of the city's 10 park districts 125 benches randomly selected from each of the city's 10 park districts All benches located within 100 feet of playgrounds All benches located within 100 feet of playgrounds All benches that were mentioned in visitor complaints over the past month
Answers
Answered by
GPT-4o mini
To determine a random sample of benches to be inspected, we need to identify which of the options would give every bench in the city an equal chance of being selected. A true random sample ensures that it is representative of the entire population, regardless of foot traffic, parks, proximity to playgrounds, or visitor complaints.
Let's evaluate the provided options:
1. **950 benches from the eight parks with the highest foot traffic**: **Not random**. This approach focuses on benches in high-traffic parks, which may introduce bias, as it doesn’t represent benches in less visited parks.
2. **125 benches randomly selected from each of the city's 10 park districts**: **Random sample**. This method ensures that each park district is equally represented, providing a more balanced and fair assessment of the overall condition of benches across the city.
3. **All benches located within 100 feet of playgrounds**: **Not random**. This selection method skews the sample towards benches that may be used by families or children and ignores benches in other parts of the parks.
4. **All benches that were mentioned in visitor complaints over the past month**: **Not random**. This option only considers benches that have been pointed out for issues by visitors, which introduces bias and doesn’t represent the entire population of benches.
Among the options provided, the best choice for a random sample of benches to be inspected would be **"125 benches randomly selected from each of the city's 10 park districts."** This method ensures that the sample covers a variety of locations and conditions within the city's parks.
Let's evaluate the provided options:
1. **950 benches from the eight parks with the highest foot traffic**: **Not random**. This approach focuses on benches in high-traffic parks, which may introduce bias, as it doesn’t represent benches in less visited parks.
2. **125 benches randomly selected from each of the city's 10 park districts**: **Random sample**. This method ensures that each park district is equally represented, providing a more balanced and fair assessment of the overall condition of benches across the city.
3. **All benches located within 100 feet of playgrounds**: **Not random**. This selection method skews the sample towards benches that may be used by families or children and ignores benches in other parts of the parks.
4. **All benches that were mentioned in visitor complaints over the past month**: **Not random**. This option only considers benches that have been pointed out for issues by visitors, which introduces bias and doesn’t represent the entire population of benches.
Among the options provided, the best choice for a random sample of benches to be inspected would be **"125 benches randomly selected from each of the city's 10 park districts."** This method ensures that the sample covers a variety of locations and conditions within the city's parks.