Question
Suppose a poll is to be conducted in an elementary school by interviewing 70 students. Explain whether or not the
following samples are representative of the students at the school. Complete parts (a) through (d) below.
a. The first 70 students entering the cafeteria. Choose the correct answer below.
A. The sample will probably not be representative. The students will probably lie to the interviewer regarding the
time that they eat in the cafeteria.
B. The sample will probably not be representative. The sample would misrepresent those
students eating at a different time.
C. It is unknown whether the sample is representative or not. A sample is representative depending on the
question being asked to the students.
D. The sample will be representative. Each of the 70 students is randomly selected and the collection of students
clearly represents the student body as a whole.
following samples are representative of the students at the school. Complete parts (a) through (d) below.
a. The first 70 students entering the cafeteria. Choose the correct answer below.
A. The sample will probably not be representative. The students will probably lie to the interviewer regarding the
time that they eat in the cafeteria.
B. The sample will probably not be representative. The sample would misrepresent those
students eating at a different time.
C. It is unknown whether the sample is representative or not. A sample is representative depending on the
question being asked to the students.
D. The sample will be representative. Each of the 70 students is randomly selected and the collection of students
clearly represents the student body as a whole.
Ask by Hodgson Gough. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The sample will probably not be representative because it only includes students who enter the cafeteria at a specific time, potentially missing those who eat at different times.
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The Deep Dive
B. The sample will probably not be representative. The sample would misrepresent those students eating at a different time.
When you only sample the first 70 students entering the cafeteria, you risk excluding those who may eat at different times or those who might not even use the cafeteria at all, such as students who bring their lunch or who have different schedules. This can lead to skewed data that doesn’t accurately reflect the entire student body—after all, not everyone shows up at lunchtime!
There are many variables at play when it comes to student schedules and diets: some students might grab a quick snack before heading to an activity, while others might have dietary restrictions, preferences, or simply enjoy a quieter lunch at a different time. Taking a more randomized approach would yield a more comprehensive view of the entire school’s eating habits!
