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.
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.
b. Seventy randomly chosen names from a computer-generated list of all students at the school. Choose the correct
answer below.
A. The sample may not be representative. The sample would be representative if the randomly chosen names
were taken using a simple random sample.
B. The sample will probably not be representative. The interviewer selecting the names will have some level of
bias.
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.
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.
b. Seventy randomly chosen names from a computer-generated list of all students at the school. Choose the correct
answer below.
A. The sample may not be representative. The sample would be representative if the randomly chosen names
were taken using a simple random sample.
B. The sample will probably not be representative. The interviewer selecting the names will have some level of
bias.
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 Dickson King. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) It is unknown whether the sample is representative because it depends on the specific question being asked.
(b) The sample will be representative because each student is randomly selected from the entire student body.
Solution
(a) For the sample that consists of students eating at a different time, we must ask whether the subject of the poll relates specifically to that group. In other words, if the question is about opinions or behaviors that only pertain to those students (for example, questions about lunch routines), then this sample may be acceptable. However, if the poll concerns issues about the entire student body, selecting only students eating at a different time may leave out many other students and thus be biased. This reasoning leads us to conclude that
(b) For the sample where seventy names are randomly chosen from a computer‐generated list of all the students at the school, the method used is essentially a simple random sample. A simple random sample is designed to give every member of the population an equal chance of being selected, which helps ensure that the sample is representative of the entire student body. Therefore, unless there are issues not mentioned (such as nonresponse bias or other collection errors), we expect that
Thus, the representativeness of a sample depends heavily on the method of selection and whether the sample fits the context of the poll’s question.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
When it comes to representing the diverse voices of an elementary school, technique is key! Consider a scenario where you’re pulling student names from a computer-generated list. If the list is truly comprehensive and every student has an equal shot at being selected, you have a better chance of achieving representation. Just remember, randomness is your best friend in avoiding bias!
Equally important is the method of collecting responses from those students. For instance, if you’re polling students at lunchtime, those who eat at other times might be missed entirely! Inclusion matters, so varying your sampling times or methods enhances the chances that every student’s perspective is counted. It’s a bit like crafting a delicious recipe; the more diverse your ingredients, the tastier your final dish!
