Question:

One large course has 900 students, broken down into section meetings with 30 students each. The section meetings are led by teaching assistants. On the final, the class average is 63, and the SD is 20. One TA notices that the average in his section is only 55. He argues as follows: If you took 30 students at random from the class, there is a pretty good chance they would average below 55 on the final. That’s what happened to me – chance variation. Is this a good defense? Conduct a hypothesis test to examine the TA’s claims. Be sure to state the box model and the null hypothesis.

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