Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean math SAT score for a sample of students was 481. If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have practical significance? Why or why not?

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Schroeder

Mathematics

19 November, 09:46

Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean math SAT score for a sample of students was 481. If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have practical significance? Why or why not?

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Emmalee Oconnor · Answer 1

I would argue that it does due to that if it increased, it's either from a 30% chance that nothing changed or that the teachers did it. Since 100-30=70, there's a 70 percent chance that the teaching effect did work!