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Question: A profressor in a second-term calculus course wishes to determine whether the year in college has any effect on the performance of his students on their final exam. The table below lists the exam grade (out of 150) for students categorized by year. Are there significant differences in performance among years? If so, perform post hoc tests to determine which students perform better or worse on these exams. These data meet the assumptions of parametric statistics.
First year
Sophomore
Junior
122
117
72
111
97
91
104
113
71
118
123
130
96
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