(b) Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use a = 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.XNurse - XTax auditor= 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 hisor her job is more likely to be automated.Nurse44622444TaxAuditor55=5=36352Fast-FoodWorkerO Ho: Nurse Tax auditorHa Nurse Tax auditor=685=7(a) Use α = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions.State the null and alternative hypotheses.5OH: Not all the population means are equal.Fast-food workerHa Nurse Tax auditorHo: Nurse Tax auditor Fast-food workerH₂: Not all the populationmeans are equal.764Ho: Nurse Tax auditorFast-food workerHa: Nurse Tax auditor * Fast-food workerFast-food workerFast-food workerHo: At least two of the population means are equal.H₂: At least two of the population means are different.Find the value of the test statistic. (Round your answer to two decimal places.)5.13XFind the p-value. (Round your answer to three decimal places.)p-value = 0.017X

Given information: The total number of observations and population are n=24, k=3.

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 4 6 2 2 4 4 Tax Auditor 5 S 5 3 6 3 . 5 2 Fast-Food Worker Mo: Nurse Tax auditor H: Not all the population OH! Nurse Tax auditor M₂: x auditor 6 Me: Nurse Tax auditer H: Nurse Tax auditor 8 5 7 S (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. State the null and alternative hypotheses. OM: Not all the population means are equal. H: Nurse Tax auditor Fast-food worker 7 6 4 Fast-food worker means are equal. Fast-food worker Fast-food worker Fast-food worker Fast-food worker OH: At least two of the population means are equal. H: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) 5.13 x Find the p-value. (Round your answer to three decimal places.) p-value = 0.017 x