A college administrator wants to see if students in different majors tend to have differing amounts of study time. The administrator collects the following data from 15 students in Sociology, 10 students in Engineering, and 12 students in History. The Sociology majors report an average of 10 hours studies per week and a standard deviation of 3 hours. The Engineering students report an average of 15 hours per week with a standard deviation of 7 hours. The History majors report an average of 12 hours studied and a standard deviation of 4 hours. The data can be summarized as follows: Major n Mean Study Hours Standard deviation Sociology 15 10 hours 3 hours Engineering 10 15 hours 7 hours History 12 12 hours 4 hours Does this data provide evidence for the notion that students in different majors study different amounts? Use α = .05

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