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
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.
Yes, because all members of the sample play at least one musical instrument.
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.
The correct answer is: No, because he did not choose students randomly.
No, because his conclusion is based on a non-random sample and may not accurately represent the entire school population.
which out of the four answers is it
No, because he did not choose students randomly.
No, because his conclusion is not valid. The reason is twofold:
Firstly, his representative sample is too small. Although he used two band classes, which consists of a total of 48 students, this may not be representative of the entire school population. To obtain a more accurate representation, he would need to include a larger and more diverse sample of students from different classes or grade levels.
Secondly, he did not choose students randomly. Random sampling is an essential component of conducting a valid study, as it helps to ensure that the sample is representative of the overall population. In this case, Tom only chose students from the band classes, which may introduce bias and may not accurately reflect the musical instrument-playing habits of all students in the school.
Therefore, his conclusion cannot be considered valid based on these two factors.