Independent random samples of managers' yearly salaries (in $1,000) taken from governmental and private organizations provided the following information. Test to determine if there is a sig difference between the average salaries of the managers in the two sectors. Government Private IX 79 73 S 10 12 12 n 29 29 22 32 (a) Give the hypotheses for the above. O O 0 Ho: HG Hp 20 Ha HG-Hp <0 Ho HG Hp <0 Ha HG-Hp 0 Ho HG Hp=0 Ha HG Hp 0 Ho: HG - Hp > 0 H MG - Hp = 0 Ho: HG Hp 0 H: HG - Hp = 0 (b) Determine the degrees of freedom. (Round your answer down to the nearest integer.) (c) Compute the test statistic. (Use Government - Private. Round your answer to three decimal places.) (d) At a 0.05 level of significance, test to determine if there is a significant difference between the average salaries of the managers in the two sectors. O We do not reject Ho. There is no significant difference.