Question 2: Annual salary (in $1000) of 12 supervisors classified by sex (1 is male and 0 is female) are given below: 0 0 0 Sex 0 Salary 54 0 49 0 66 1 50 1 65 1 1 74 64 1 1 68 72 68 62 62 The following model is used to analyze the data set: Salary = Bo + BiSex + where 1,..., En are iid normal with mean 0 and variance o?. a. Interpret Bo and B, 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? c. Let um be the mean salary of male supervisors and up be the mean salary of female supervisors. Obtain a 95% confidence interval for the difference in mean salary of male supervisors and female supervisors. d. Obtain a 95% joint Bonferroni confidence region for him and uf. e. Obtain a 95% simulataneous confidence region for (Bo, B1). Also obtained a 95% joint Bonferroni confidence region for (Bo, B1). f. Draw the answers obtained in part (e) on the same graph. g. Based on the plot in part (f), give a point B = (BO, B9) such that 1. B is in both confidence regions. 2. B is outside both confidence regions. 3. B is in the Bonferroni confidence region but not the simultaneous confidence region. 4. B is in the simulataneous confidence region but not the Bonferroni confidence region