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.
1 answer
The correct response is:
No, because not all students in the sample have extracurricular activities.
This conclusion is valid because the principal's sample may include students who are not involved in any extracurricular activities. If the sample is not representative of the entire student population in terms of involvement in extracurricular activities, the average calculated may not accurately reflect the overall average for all students.
