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. 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.

Nurse	Tax Auditor	Fast-Food Worker
4	4	6
4	5	8
6	4	6
2	4	7
3	7	5
3	3	6
4	5	6
4	2	4

(a)Use = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use= 0.05.)

Find the value of LSD. (Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for nurses and tax auditors.

x_Nursex_{Tax auditor=}