Question
In which of the following situations is it reasonable to use the entire population instead of a sample to collect data?(1 point)
Responses
A university dean wants to estimate the number of students who work and study at the same time.
A university dean wants to estimate the number of students who work and study at the same time.
A teacher wants to know his students’ favorite holiday in all of his math classes.
A teacher wants to know his students’ favorite holiday in all of his math classes.
A scientist wants to determine the average age of the trees in a national forest.
A scientist wants to determine the average age of the trees in a national forest.
A store manager wants to know the percentage of customers who prefer cold coffee over hot coffee.
Responses
A university dean wants to estimate the number of students who work and study at the same time.
A university dean wants to estimate the number of students who work and study at the same time.
A teacher wants to know his students’ favorite holiday in all of his math classes.
A teacher wants to know his students’ favorite holiday in all of his math classes.
A scientist wants to determine the average age of the trees in a national forest.
A scientist wants to determine the average age of the trees in a national forest.
A store manager wants to know the percentage of customers who prefer cold coffee over hot coffee.
Answers
GPT-4o mini
It is reasonable to use the entire population instead of a sample in the situation where:
**A teacher wants to know his students’ favorite holiday in all of his math classes.**
This is because the teacher can survey all of his students without needing to sample since the population (his students in all math classes) is likely to be manageable in size, making it feasible to gather data from the entire group.
In the other situations, the populations are larger or more difficult to study in their entirety, making sampling a more practical approach.
**A teacher wants to know his students’ favorite holiday in all of his math classes.**
This is because the teacher can survey all of his students without needing to sample since the population (his students in all math classes) is likely to be manageable in size, making it feasible to gather data from the entire group.
In the other situations, the populations are larger or more difficult to study in their entirety, making sampling a more practical approach.