Question
Statistics Basics Quick Check
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Question
A school principal wants to know the average number of extracurricular activities students in her school are involved in. She assigned each student a number from 1 to 415. Using a random number generator, she selected 200 students to be part of the sample. She concluded that students are involved in an average of two extracurricular activities. Is the principal’s conclusion valid?(1 point)
Responses
Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.
Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.
Yes, because only those who have extracurricular activities were included in the sample.
Yes, because only those who have extracurricular activities were included in the sample.
No, because not all students in the sample have extracurricular activities.
No, because not all students in the sample have extracurricular activities.
No, because 200 students in the sample is too large.
No, because 200 students in the sample is too large.
Answers
GPT-4o mini
The correct response is:
**No, because not all students in the sample have extracurricular activities.**
The principal's conclusion is invalid because the average calculated could be skewed if some of the sampled students do not participate in any extracurricular activities. To accurately assess the average number of activities, the principal should ensure that all sampled students are involved in extracurricular activities or adjust the analysis to account for students who are not involved at all.
**No, because not all students in the sample have extracurricular activities.**
The principal's conclusion is invalid because the average calculated could be skewed if some of the sampled students do not participate in any extracurricular activities. To accurately assess the average number of activities, the principal should ensure that all sampled students are involved in extracurricular activities or adjust the analysis to account for students who are not involved at all.