Question

. For each of the following situations, identify-as precisely as possible the sample and the population.

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(a) A high school student thinks that the longer a student has been at the school, the less satisfied they are
with the food in the cafeteria., To see if this theory holds for students at her school, she gives a two-
question survey to the first 100 people who enter the cafeteria on a certain day. The first question is,
"How long have you attended school here?" The second question asks the student to rate the food in the
cafeteria on a 1 to 5 scale.

Answer 1

The sample consists of the first 100 people who enter the cafeteria on a specific day and complete the survey.

The population refers to all the students at the school.

In this situation, the sample refers to the group of people who are surveyed, while the population refers to the entire group of students at the school.

The sample is the first 100 people who enter the cafeteria on a certain day and complete the survey. These 100 people represent a subset of the larger population, which consists of all the students at the school.

The high school student is interested in determining if there is a relationship between the length of time a student has attended the school and their satisfaction with the cafeteria food. To investigate this, the student collects data from the sample of 100 people by asking them two questions: the first question is about how long they have attended the school, and the second question asks them to rate the food on a scale of 1 to 5.

It's important to note that while the sample represents a smaller group of people, the findings from this sample can be used to make inferences about the entire population of students at the school. However, it's crucial to recognize that the sample might not fully represent the diversity of the population, and there could be other factors that affect students' satisfaction with the cafeteria food that are not captured in this survey.

To summarize, in this situation:

- The sample consists of the first 100 people who enter the cafeteria on a specific day and complete the survey.

- The population refers to all the students at the school.