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 3 5 5 4 6 7 4 5 4 5 4 5 4 7 6 4 5 6 5 6 6 4 5 8 a. Use x=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 ______ 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.
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 |
| 3 | 5 | 5 |
| 4 | 6 | 7 |
| 4 | 5 | 4 |
| 5 | 4 | 5 |
| 4 | 7 | 6 |
| 4 | 5 | 6 |
| 5 | 6 | 6 |
| 4 | 5 | 8 |
a. Use x=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 ______
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.
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