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

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

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

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.

Answer 1

No — because he did not choose students randomly. Using only band classes gives a biased sample (band students are more likely to play musical instruments than the general student body), so the average won't represent all students.