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7. (10 points) A researcher wants to know if students who do not plan to apply for financial aid had more variability on the SAT I math test than those who plan to do so. She obtains a random sample of 35 students who do not plan to apply for financial aid and a random sample of 38 students who do plan to apply for financial aid and obtains the followg results: Do Not Plan to Apply for Financal Aid Plan to Apply for Financial Aid 35.0 38.0 123.1 119.4 Do students who do not plan to apply for financial aid have a higher standard deviation on the SAT I math exam than students who plan to apply for financial aid at a significance level of 0.01? SAT I math exam scores are known to be normally distributed