Question
A car manufacturer wants to estimate how many of the 15,000 car horns are functioning properly. Which of the following is a random sample of the horns to be inspected?
*
1 point
The first 100 horns that were produced
100 horns manufactured each day
All horns installed in red cards
All horns that were eventually replaced
*
1 point
The first 100 horns that were produced
100 horns manufactured each day
All horns installed in red cards
All horns that were eventually replaced
Answers
GPT-4o mini
The best choice for a random sample of the 15,000 car horns to be inspected would be:
**100 horns manufactured each day**
This option suggests a method of sampling that could yield a more representative sample of the entire production rather than relying on a specific batch or category (as with the other options). Here’s a brief overview of why the other options are less appropriate:
1. **The first 100 horns that were produced** - This sample could be biased, as it only includes horns from the initial production run, which may not represent the entire batch.
2. **All horns installed in red cars** - This is not random, since it selects horns based on the color of the car, which could introduce bias.
3. **All horns that were eventually replaced** - This only includes horns that are defective enough to be replaced, which would also lead to a non-representative sample.
Thus, sampling 100 horns manufactured each day allows for variability across different production times, helping to ensure a more random representation of the entire population.
**100 horns manufactured each day**
This option suggests a method of sampling that could yield a more representative sample of the entire production rather than relying on a specific batch or category (as with the other options). Here’s a brief overview of why the other options are less appropriate:
1. **The first 100 horns that were produced** - This sample could be biased, as it only includes horns from the initial production run, which may not represent the entire batch.
2. **All horns installed in red cars** - This is not random, since it selects horns based on the color of the car, which could introduce bias.
3. **All horns that were eventually replaced** - This only includes horns that are defective enough to be replaced, which would also lead to a non-representative sample.
Thus, sampling 100 horns manufactured each day allows for variability across different production times, helping to ensure a more random representation of the entire population.