Tom wants to know the average number of musical instruments students in his school play. He used the school’s two band classes, consisting of a total of 48 students, as his representative sample. He concluded that students in his school play an average of three musical instruments. Is his conclusion valid?(1 point)

Question

Tom wants to know the average number of musical instruments students in his school play. He used the school’s two band classes, consisting of a total of 48 students, as his representative sample. He concluded that students in his school play an average of three musical instruments. Is his conclusion valid?(1 point)
Responses

Yes, because the sample includes both males and females who play musical instruments.
Yes, because the sample includes both males and females who play musical instruments.

No, because his representative sample is too large. 
No, because his representative sample is too large.

No, because he did not choose students randomly.
No, because he did not choose students randomly.

Yes, because all members of the sample play at least one musical instrument.

GPT-4o mini · Answer

The correct response is: **No, because he did not choose students randomly.** Tom's sample consists only of students from two band classes, which may not be representative of the entire student population. This sampling method could introduce bias, as it does not consider students who may play instruments but are not in band classes or those who do not play any musical instruments at all. Therefore, his conclusion about the average number of musical instruments students in his school play is not valid.