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. The p-value is greater than 0.10 What is your conclusion? Tax Auditor Nurse 5 6 6 3 5 4 5 5 5 4 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. F = (to 2 decimals) LSD = What is your conclusion? We cannot reject 6 7 6 4 8 6 6 4 Fast-Food Worker 5 the null hypothesis that the two population means are equal. 5 5 We 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. (to 2 decimals) 7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Question
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.
The p-value is greater than 0.10
What is your conclusion?
Tax
Auditor
Nurse
5
6
6
3
5
4
5
5
5
4
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.
F =
(to 2 decimals)
LSD =
What is your conclusion?
We cannot reject
6
7
6
4
8
6
6
4
Fast-Food
Worker
5
the null hypothesis that the two population means are equal.
5
5
We 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.
(to 2 decimals)
7
Transcribed Image Text: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. The p-value is greater than 0.10 What is your conclusion? Tax Auditor Nurse 5 6 6 3 5 4 5 5 5 4 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. F = (to 2 decimals) LSD = What is your conclusion? We cannot reject 6 7 6 4 8 6 6 4 Fast-Food Worker 5 the null hypothesis that the two population means are equal. 5 5 We 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. (to 2 decimals) 7
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