Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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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.
Solución
Step 1: Understand the Sampling Method
The sample in part (a) is taken from the first 70 students entering the cafeteria. This means that only students who enter the cafeteria at a specific time are being considered.
Step 2: Identify Potential Bias
Since the sample only includes students entering at a particular time, it could underrepresent or completely miss students who go to the cafeteria at different times. Hence, the sample might not capture the full diversity of the student population.
Step 3: Evaluate the Options
- Option A: Mentions students lying about cafeteria times, which is irrelevant to the representativeness of the sample.
- Option B: Correctly identifies that the sample would misrepresent students who eat at a different time.
- Option C: States it is unknown whether the sample is representative, but in this case, the sampling method clearly introduces bias.
- Option D: Incorrectly assumes that the method is random and representative, which it is not.
Step 4: Conclude the Correct Answer
The correct answer is:
B. The sample will probably not be representative. The sample would misrepresent those students eating at a different time.
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Simplifique esta solución 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!
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