Data:

Male:

41620

41745

42635

42060

42220

42675

40370

42445

42520

42340

43205

43155

40825

40930

43305

41550

42586

40012

41424

40926

41922

43394

41997

Female:

40355

39022

40350

40860

40406

39854

39374

38200

38360

40020

39622

38878

38496

39940

39230

41328

40325

38990

39645

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.

i. Report the finding to the CEO by writing a one-paragraph report.

ii. Explain why did or did not choose the pooled t-test. Explanation needs to be supported with a boxplot and appropriate descriptive statistics.

b.

Calculate manually the 95% confidence interval. What are the findings? Is it the same conclusion as 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%. A complete test should be presented and use Minitab only as a calculator.