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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

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
5 6 4
6 7 6
7 6 5
3 4 6
3 8 8
3 5 4
4 5 6
4 6 5

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).

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)

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