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 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. 
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.

Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.

:)

Answer 1

The appropriate conclusion regarding the principal's findings would be:

Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.

This selection method, using a random number generator to select students, suggests that the sample is representative of the entire student population at the school. Therefore, provided the methodology was correctly applied and the sample is representative, the principal’s conclusion about the average number of extracurricular activities could be considered valid.

However, note that if many students do not participate in any extracurricular activities, this could impact the average, depending on how those students were represented in the sample. But based on the information provided, this response is the best fit.