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:f/www.pewinternet.org/2017I10/04Iamericans- attitudes-toward-a-future-in-which-robots-and-computers-can-do-rnany-human-jobsn. 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 5 4 6 6 5 8 7 4 5 3 6 5 4 6 6 4 6 5 5 6 6 5 6 7 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 = 2.15 M (to 2 decimals) The p-value is [W] to. What is your conclusion? We | cannot reject v | w 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 = 1.18 0 (to 2 decimals) What is your conclusion? We | cannot reject v | w the null hypothesis that the two population means are equal. 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:f/www.pewinternet.org/2017I10/04Iamericans- attitudes-toward-a-future-in-which-robots-and-computers-can-do-rnany-human-jobsn. 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 5 4 6 6 5 8 7 4 5 3 6 5 4 6 6 4 6 5 5 6 6 5 6 7 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 = 2.15 M (to 2 decimals) The p-value is [W] to. What is your conclusion? We | cannot reject v | w 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 = 1.18 0 (to 2 decimals) What is your conclusion? We | cannot reject v | w the null hypothesis that the two population means are equal. F G K A B C D E H Tax Fast-Food Anova: Single Factor 2 Nurse Auditor Worker 3 4 SUMMARY 8 Groups Count Sum Average Variance 4 39 5 Nurse 4.875 1.55357143 Auditor 43 5.375 0.83928571 6 UI UI A A W V OUT Worker 8 48 6 1.14285714 9 10 ANOVA Source of Val SS df MS F P-value F crit 12 Between Grol 5.08333333 2 2.54166667 2. 15656566 0. 14066011 3.46680011 13 Within Groups 24.75 21 1.17857143 14 23 15 Total 29.8333333 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34