Do faculty and students have similar perceptions of what typ

Do faculty and students have similar perceptions of what types of behavior are innapropriate in the class room? Each individual in a random sample of 173 students in general education classes at a large public university was asked to judge various behaviors on a scale from 1 (totally innapropriate) to 5 (totally appropriate). Individuals in a random sample of 98 faculty members also rated the same behaviors. The mean rating for three behaviors studied are shown below: The sample standard deviations were not given but for all purposes of this exercise, assume that they are all equal to 1.0.

Is there sufficient evidence to conclude that the mean \"appropriateness\" score assigned to wearing a hat in class differs for students and faculty?

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