Q1) Sociologist thinks that due to prolonged periods of rain and haze in State A people on average are more depressed than population of the rest of U.S.  Our sociologist devises a scale which measures degree of depression and administers survey of 150 people in State A.  He determines that the mean depression score of this sample is 150 with a standard deviation of 14.  If national mean of depression based on scale of depression comparable to that of our sociologist is 145, test hypothesis that people in State A are more depressed than U.S. population.  Illustrate all of your hypothesis steps. (Use alpha = .01.)