Question
Error Analysis A group of students is studying the number of people who like to ski in their school. They surveyed everyone in their school. One of the students incorrectly said that the people they surveyed represents a sample because it only includes the people in their school. Identify the population. What could cause the student's error?
Question content area bottom
Part 1
What is the population the students are studying?
A.
Everyone in their school who likes to ski
B.
Everyone who likes to ski
C.
Everyone in all schools
D.
Everyone in their school
Question content area bottom
Part 1
What is the population the students are studying?
A.
Everyone in their school who likes to ski
B.
Everyone who likes to ski
C.
Everyone in all schools
D.
Everyone in their school
Answers
GPT-4o mini
The correct answer regarding the population the students are studying is:
**B. Everyone who likes to ski**
### Explanation:
The population refers to the entire group that is of interest for the study. In this case, the students are interested in knowing how many people like to ski, not just those within their own school. Therefore, the population is everyone who has an interest in skiing.
### Cause of the Student's Error:
The student's error arises from a misunderstanding of the distinction between a sample and a population. They assumed that because they surveyed everyone in their school, they had a representative sample of all people who like to ski, when in reality, the sample is limited to just students in their school. This oversight leads to incorrectly defining the broader population and failing to recognize that a more diverse group would need to be included to accurately assess the preferences of all people who like to ski.
**B. Everyone who likes to ski**
### Explanation:
The population refers to the entire group that is of interest for the study. In this case, the students are interested in knowing how many people like to ski, not just those within their own school. Therefore, the population is everyone who has an interest in skiing.
### Cause of the Student's Error:
The student's error arises from a misunderstanding of the distinction between a sample and a population. They assumed that because they surveyed everyone in their school, they had a representative sample of all people who like to ski, when in reality, the sample is limited to just students in their school. This oversight leads to incorrectly defining the broader population and failing to recognize that a more diverse group would need to be included to accurately assess the preferences of all people who like to ski.