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 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?

In order to determine if the principal's conclusion is valid, we would need to calculate the average number of extracurricular activities for the 200 students in the sample. If the calculated average is close to two, then the principal's conclusion is likely valid.

However, it is important to note that the students were assigned numbers from 1 to 415, but we do not know if these numbers were evenly distributed across the students or if students with higher numbers were more likely to be involved in extracurricular activities. Additionally, the random number generator may have selected students in a biased way.

Therefore, while the principal's conclusion may be valid, there are potential limitations to the study that should be taken into consideration. Further analysis and investigation may be necessary to confirm the validity of the conclusion.

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 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.
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.