At the last Board of Directors (BOD) meeting of a large enterprise, the Human Resources (HR) Director claimed that male middle managers were paid more annually than their female counterparts. The CEO of this enterprise requested a comparison of the annual salaries of female and male middle managers and to report back to the BOD. You have been tasked to conduct the study to validate the HR Director's claim. Use a level of significance of 5%. A random sample of 42 middle managers was taken. These managers were separated in two groups (male and female) and their salaries were entered into Minitab and Excel. a. Using Minitab, do the appropriate hypothesis test for this study. i. Report your finding to the CEO by writing a one-paragraph report. ii. Explain why you did or did not choose the pooled t-test for your study. Your explanation needs to be supported with a boxplot and appropriate descriptive statistics. b. Calculate manually the 95% confidence interval. What are your findings? Do you come to the same conclusion that you did in (a)? c. Perform the appropriate non-parametric test using Minitab to test for differences in the median annual salaries between male and female middle managers. Use a level of significance of 5%. Remember to do a complete test and use Minitab only as a calculator. At the last Board of Directors (BOD) meeting of a large enterprise, the Human Resources (HR) Director claimed that male middle managers were paid more annually than their female counterparts. The CEO of this enterprise requested a comparison of the annual salaries of female and male middle managers and to report back to the BOD. You have been tasked to conduct the study to validate the HR Director's claim. Use a level of significance of 5%. A random sample of 42 middle managers was taken. These managers were separated in two groups (male and female) and their salaries were entered into Minitab and Excel. a. Using Minitab, do the appropriate hypothesis test for this study. i. Report your finding to the CEO by writing a one-paragraph report. ii. Explain why you did or did not choose the pooled t-test for your study. Your explanation needs to be supported with a boxplot and appropriate descriptive statistics. b. Calculate manually the 95% confidence interval. What are your findings? Do you come to the same conclusion that you did in (a)? c. Perform the appropriate non-parametric test using Minitab to test for differences in the median annual salaries between male and female middle managers. Use a level of significance of 5%. Remember to do a complete test and use Minitab only as a calculator