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An economics professor claims that the variance on placement tests when the students use graphing calculators...

An economics professor claims that the variance on placement tests when the students use graphing calculators will be smaller than the variance on placement tests when the students use scientific calculators. A randomly selected group of 20 students who used graphing calculator had a variance of 32, and a randomly selected group of 18 students who used scientific calculators had a variance of 37. significance level of 0.05

a) Test the hypothesis to see if the professor’s claim is true?

b) Find 90% confidence interval for the difference in variances?

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