The administration at a university is interested in studying if any relationship exists between satisfaction at the school and whether the student is a freshman or a senior. The school randomly surveys 10 freshmen and 10 seniors and asks them to rate how satisfied they are at the school on a scale of 1-10, where 10 is extremely satisfied and 1 is extremely dissatisfied. If freshmen had a mean score of 6.7 and a standard deviation of 1.62, and seniors had a mean score of 5.9 and a standard deviation of 2.21, are the results significant at the 0.05 level, why or why not?
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