Annual salary [in $1000} of 12 supervisors classied by sex (1 is male and 0 is female) are given below: 3133000000111111 Salary544968666262506574646872 The following model is used to analyze the data set: Salary = p39 + 31331\". + E where :1, .. n.5,. are iid normal with mean 0 and variance 0-2. a. Interpret fig and H: in the context of this question. b. Is there evidence that. the mean salary of male supervisors is higher than the mean salary of female supervisors? e. Let n.\" be the mean salaryr of male supervisors and ,up he the mean salary of female supervisors. Obtain a 95% condence interval for the difference in mean salaryr of male supervisors and female supervisors. d. Obtain a 95% joint Bonferroni condence region for a\" and pp