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

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

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

Answer 1

Yes, because every student had an equal chance to be part of the sample and the sample size (200 of 415) is large enough to provide a reliable estimate.