One large course has 900 students, broken down into section meetings with 30 students each. The section meetings are led by GSI’s. On the final, the class average is 64, and the SD is 20. However, in one section the average is only 55. The GSI argues that: “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, and my teaching was as good as the other GSI’s” Is this a good defense? Answer yes or no and justify your answer.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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One large course has 900 students, broken down into section meetings with 30
students each. The section meetings are led by GSI’s. On the final, the class
average is 64, and the SD is 20. However, in one section the average is only 55.
The GSI argues that:
“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, and my
teaching was as good as the other GSI’s”
Is this a good defense? Answer yes or no and justify your answer.

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