3. (2. points) 'Wage Discrimination\" 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) lOne simple test of possible discrimination is to compare the average salaries for men and women clown\" Email mash of staff {junior mid 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. 1)) W711}? might the test in (a: be misleading?' c.) Now carrv out Japan-rife 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? \fa) 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