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)

Question

Responses

No, because 200 students in the sample is too large.
No, because 200 students in the sample is too large.

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.

No, because not all students in the sample have extracurricular activities.
No, because not all students in the sample have extracurricular activities.

Yes, because only those who have extracurricular activities were included in the sample.

Answer 1

The most appropriate response to the principal's conclusion is:

No, because not all students in the sample have extracurricular activities.

While the sampling method was random, it's essential to note that if some students do not participate in any extracurricular activities, that could skew the average down. Therefore, the conclusion may not accurately represent the average number of extracurricular activities for all students in the school.