DATA:https://docs.google.com/spreadsheets/d/1XiUej18HUJXLACewsrDMsKZorjNp0maC06LeHbMLlmU/edit?usp=sharing

a. Compute and plot two 99% confidence intervals for men's and women's weekly wages. Comment on your findings. Is there any evidence of a gender pay gap?

b. The government believes that both men and women earn the UK average weekly wage of 535. Many gender equality organizations do not believe this to be true and they believe that 1) men earn more than this amount while 2) women earn less. Test these two hypotheses. Comment on your findings.

c. Some members of the government actually believe that there is no gender pay gap at all. Test this hypothesis by computing a test for two population means and comment on the results of your investigation.

d. . How do you think your analysis could be improved? Suggest a possible improvement and repeat the investigations a) to c). Comment on your new findings. What about the conclusions about the existence of a gender pay gap change?