1

Problem

A psychologist designed and conducted a study to determine whether playing a certain educational game increases middle school students’ accuracy in adding fractions. For the study, the psychologist chose a random sample of 35 students from all of the students at one of the middle schools in a large city. The psychologist found that students who played the game showed significant improvement in accuracy when adding fractions. What is the largest group to which the results of the study can be generalized?

2

Step

The sample consists of

35 students from one middle school in a large city.

3

Step

Since the students were randomly selected

The results can be generalized to all students in that middle school.

4

Step

However, the study cannot be generalized to all middle school students in the city or in general

Because the sample was drawn from only one school, there may be differences in education quality, curriculum, or demographics across schools.

5

Solution

The results can be generalized to all students at the middle school from which the sample was drawn, but not beyond that school.

6

Sumup

Please summarize steps

Choices

7

Choice-A

This sample size is limited. While the study focused on 35 students, it’s not accurate to assume only they would benefit from the educational game. The sample aims to represent a broader population

Wrong The 35 students in the sample

8

Choice-B

This includes all grade levels, which may not be appropriate for generalizing the study results.

Correct All students at the school

9

Choice-C

This correctly limits generalization to only middle school students at that specific school.

Wrong All students at the middle school from which the sample was drawn

10

Choice-D

This option is incorrect. The study focused specifically on middle school students and did not include students from other educational levels (e.g., elementary or high school students). Therefore, the results cannot be generalized to all students in the city

Wrong All students in the city

11

Answer

Option

B

12

Sumup

Please summarize choices