o v 3. [3/7 Points] DETAILS webassign.net + 4. [2/4 Points] DETAILS MY NOTES PECKCOREQ1ACC 17.2.004. PREVIOUS ANSWERS PRACTICE ANOTHER Do faculty and students have similar perceptions of what types of behavior are appropriate in the classroom? This question was examined in a certain article. Each person in a random sample of 172 students enrolled in general education classes at a large public university was asked to judge various behaviors on a scale from 1 (totally inappropriate) to 5 (totally appropriate). People in a random sample of 97 faculty members also rated the same behaviors. Sample means for three behaviors are included in the following table. Assume that all of the sample standard deviations are equal to 1.0. Student Faculty Student Behavior Mean Mean Rating Rating Wearing hats in class 2.60 3.62 Addressing instructor by first name 2.70 2.13 Talking on a cell phone 1.33 1.32 Is there sufficient evidence to conclude that the mean "appropriateness" score assigned to wearing a hat in class for the population of students at this university is not the same as the mean "appropriateness" score for the population of faculty at this university? Use the three-read strategy to understand this problem, and then test the relevant hypotheses using a = 0.05 . (Let /] represent the population mean appropriateness score for students and /2 represent the population mean appropriateness score for faculty.) (a) State the appropriate null and alternative hypotheses. OHo : M1 - M2 0 OHo : HI - M2 = 0; Ha : M1 - 12 # 0 Ho : M1 - M2 = 0; Ha : M1 - M2 > 0 OHo : M1 - M2 = 0; Ha : M1 - M2 0; Ha : M1 - M2