In a (hypothetical) public sector organization, there is concern that despite equal opportunities legislation, salaries for male and female staff are not the same. To investigate this, a researcher collects data from a total of 270 staff on their salaries. These are summarized in the table in the PS4 template. a) One simple test of possible discrimination is to compare the average salaries for men and women dam; bot/9 rank; of staff (junior dd senior). Use a ttest to compare these two means. Is there evidence of discrimination? You can assume that the standard deviation of salaries is the same for men and women, and use the pooled estimate of the standard error. b) Why might the test in (a) be misleading? c) Now carry out rgbamre ttests for junior staff and senior staff. Once again, the aim of the test is to explore if average salaries are the same for men and women. Is there still evidence of discrimination? And discrimination in what? Male Female Combined Junior Staff Number 25 98 223 Average Salary $25,776 $25.686 $25,736 Std. Deviation $3,246 Senior Staff Number 36 11 47 Average Salary $36,976 $36,887 $36,955 Std. Deviation $2,394 Average Number 161 109 270 [Both Average Salary $28,281 $26,816 $27,689 Std. Deviation $5,276 HO HA Mean difference Standard error Test statistic P-value Conclusion b) c) Junior Senior HO HO HA HA Mean difference Mean difference Standard error Standard error Test statistic Test statistic P-value P-value