A statistician wants to compare the average grade between students that enroll with a support course in a statistics class versus those that do not. A sample of 37 students enrolled in a support course has an average grade of 84% with a standard deviation of 20%. A sample of 100 students not enrolled in a support course have an average grade of 79% with a standard deviation of 27%. Both grade distributions are normally distributed. Take population 1 as students who enroll in a support course. At the 5% significance level determine if the average grade of

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