A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and computers might one day do many of the jobs currently done by people (Pew Research website, http://www.pewinternet.org/2017/10/04/americans-attitudes-toward-a-future-in-which-robots-and-computers- can-do-many-human-jobs/). Suppose we have the following data collected from nurses, tax auditors, and fast- food workers in which a higher score means the person feels his or her job is more likely to be automated. Tax Fast-Food Nurse Auditor Worker 4 5 6 6 5 6 a. Use a = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions. F - (to 2 decimals) The p-value is less than 0.01 What is your conclusion? We reject the null hypothesis that the mean scores are the same for the three professions. b. Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. LSD (to 2 decimals) What is your conclusion