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A math teacher claims that taking both geometry and algebra II leads to less Variation in...

A math teacher claims that taking both geometry and algebra II leads to less Variation in ACT scores. The mean ACT score is 21.2, and standard deviation of the population is 4.9. The math Teacher takes a random sample of 25 students who have taken both courses, and calculates a mean ACT score of 21.9 and standard deviation of 3.8. (a) Test this claim at the \alpha α =.05 level. (b) In addition to your conclusion, identify a lurking variable that could have influenced this study. (c) What assumptions needed to be met in order for the teacher to run this hypothesis test?

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