Suppose a statistics instructor believes that there is no difference between the mean test scores of students taking a morning class and students taking an afternoon class. She takes a sample from each of her classes, one morning and one afternoon. The mean and standard deviation for 40 morning students (sample 1) were 78 and 17.8, respectively. The mean and standard deviation for 45 afternoon students (sample 2) were 82.2 and 19.9. Using ?=0.05, determine if there is a difference between the average test scores of morning and afternoon students.
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