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-candomany-human-jobsl). 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 herjob is more likely to be automated. Tax Fast-Food Nurse Auditor Worker 5 5 5 6 6 6 4 4 3 4 4 4 7 6 3 5 6 4 6 6 3 6 8 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 greater than 0.10 . What is your conclusion? We 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? We the null hypothesis that the two population means are equal