As a young federal public servant working for Employment and Social Development Canada, you have requested the resources to perform a study that deals with gender and regional pay equity within professional trades, including construction, plumbing, electrical and others. Your main research question is whether there is a relationship between gender and region of employment. In keeping with new laws on gender identification, you have collected data for individuals who identify as either male, female or unspecified across four main regions of the country: Western Canada (BC and AB), Central Canada (SK and MB), Eastern Canada (ON and QC) and the Maritimes (NB, PEI and NS). Sampling restrictions have prevented data acquisition from the Northern region.

The data has been provided to you.

Managerial Report:

1) Use the appropriate descriptive statistics to summarize the data. Provide your preliminary observations.

2) Develop a 90% confidence interval estimate of the mean salary of all Canadians.

3) Develop 90% confidence interval estimates of the mean salary of Canadians by gender identification.

4) Develop 90% confidence interval estimates of the mean salary of Canadian by region.

5) At the 10% level of significance, test for any significant differences due to gender, region and interaction. Comment on your findings.

6) After seeing your conclusions on the test for salary difference across gender, director requests that you report your findings for that test (and only that test) at the 5% level of significance instead if 10%. What might be his motivations? How would you respond? Include a Fisher’s LSD at the 10% level of significance to support your argument.