The second slide is the first part of the question and the first slide is the second part of the question. ### Understanding Automation Trends Across ProfessionsA Pew Research study conducted in 2017 found that approximately 73% of Americans believe that robots and computers might one day do many of the jobs currently done by people. The data shown below is collected from nurses, tax auditors, and fast-food workers, with higher scores indicating that participants feel their job is more likely to be automated.#### Data Table:The table presents survey results for three professions: | | Nurse | Tax Auditor | Fast Food Worker ||-----------|-------|-------------|------------------|| **1** | 2 | 3 | 3 || **2** | 4 | 5 | 3 || **3** | 3 | 3 | 5 || **4** | 2 | 3 | 6 || **5** | 5 | 4 | 5 || **6** | 6 | 6 | 6 || **7** | 5 | 5 | 4 || **8** | 5 | 6 | 5 |#### Statistical Analysis(a) **Hypothesis Testing Using α = 0.05**- **Objective:** Test for differences in the belief that a person's job is likely to be automated across the three professions. - **Null and Alternative Hypotheses:** - \( H_0: \) The population means are equal. - \( H_a: \) At least one of the population means is different.**Options for Hypotheses:**- \( H_0: \mu_{\text{Nurse}} = \mu_{\text{Tax Auditor}} = \mu_{\text{Fast Food Worker}} \)- \( H_a: \mu_{\text{Nurse}} \neq \mu_{\text{Tax Auditor}} \neq \mu_{\text{Fast Food Worker}} \)The data in the table and hypothesis testing aims to identify perceived automation threats among these professions. ## Hypothesis Testing and Fisher's LSD Procedure### Step 1: Test Statistics and Conclusion- **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)- **State your conclusion:** - \(\bigcirc\) Reject \(H_0\). There is sufficient evidence to conclude that there is a difference in mean scores for the three professions. - \(\bigcirc\) Do not reject \(H_0\). There is not sufficient evidence to conclude that there is a difference in mean scores for the three professions.### Step 2: Fisher's LSD Procedure- **Calculate Fisher's LSD to compare the means:** - **Find the value of LSD.** (Round your answer to two decimal places)#### Pairwise Comparison- **Find the pairwise absolute difference between sample means for nurses and tax auditors.** \(\lvert X_{nurse} - X_{tax\ auditor} \rvert = \_\_\_ \)### Conclusions- **What conclusion can you draw after carrying out this test?** - \(\bigcirc\) There is a significant difference between the means for nurses and tax auditors. - \(\bigcirc\) There is not a significant difference between the means for nurses and tax auditors.> **Note:** Use \(\alpha = 0.05\) for the significance level. The test is exploring whether there's a belief that a person’s job will be automated for nurses and tax auditors.

Name: The second slide is the first part of the question and the first slid
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: The second slide is the first part of the question and the first slide is the second part of the question. ### Understanding Automation Trends Across ProfessionsA Pew Research study conducted in 2017 found that approximately 73% of Americans believe