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	4
4	6	6
4	5	5
5	4	5
3	7	7
4	5	5
5	6	6
4	5	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 = ________ (to 2 decimals)

The p-value is (- Select your answer -)

less than 0.01

between 0.01 and 0.025

between 0.025 and 0.05

between 0.05 and 0.10

greater than 0.10

What is your conclusion?

We (- Select your answer -)

reject

cannot 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?

We (- Select your answer -)

reject

cannot reject....the null hypothesis that the two population means are equal.