A study measuring the fatigue of air traffic controllers resulted in proposals for modficiation and redesign of the controllers' workstation. After consideration of several designs for the workstation, three specific alternatives are selected as having the best potential for reducing controller stress. The key question is: To what extent do the three alternatives differ in terms of their effect on controller stress?A randomized block design is used to test the hypothesis of no difference in stress levels for the three workstation alternatives. The data for the experiment is located in the Microsoft Excel Online file below. Use ? = 0.05 to test for any significant differences. **ANOVA Table Setup and Calculation**This exercise involves setting up an Analysis of Variance (ANOVA) table for a specific problem and conducting several key calculations based on the data provided. Below are the steps to follow:1. **Set up the ANOVA table:** - **Source of Variation:** Categorize the different sources of variation in the data. - **Sum of Squares (SS):** Represents the total squared deviation of each data point from the overall mean. - **Degrees of Freedom (DF):** Represents the number of values that are free to vary. - **Mean Square (MS):** Calculated as the Sum of Squares divided by the corresponding Degrees of Freedom. - **F-value:** The ratio of the Mean Square of the treatment to the Mean Square of the error.The ANOVA table is divided into four parts: - Treatments - Blocks - Error - Total**ANOVA Table Template:**| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F ||---------------------|----------------|--------------------|-------------|------|| Treatments | | | | || Blocks | | | | || Error | | | | || Total | | | | |2. **Subsequent Calculations:** - **Calculate the value of the test statistic (to 2 decimals).** - **Calculate the critical value (to 2 decimals).** - **Calculate the p-value (to 4 decimals).** - **Determine whether to reject the null hypothesis.** - **Conclude based on the analysis.****Template for Calculation Sections:**- Calculate the value of the test statistic (to 2 decimals): `[Input Field]`- Calculate the critical value (to 2 decimals): `[Input Field]`- Calculate the p-value (to 4 decimals): `[Input Field]`- Reject null hypothesis? `[Yes/No Checkbox]`- What is your conclusion?: `[Input Field]`This template provides the structure needed to input the relevant data, perform calculations, and draw conclusions based on statistical analysis. ### Performance Data Comparison of Different Controllers Across SystemsBelow is a table showcasing the comparative performance scores of six controllers (Controller 1 to Controller 6) across three different systems (System A, System B, and System C). These data points are intended to aid in understanding the efficiency and reliability of the controllers under varying conditions provided by each system.| | **System A** | **System B** | **System C** ||------------|---------------|---------------|---------------|| **Controller 1** | 16 | 15 | 18 || **Controller 2** | 14 | 14 | 15 || **Controller 3** | 11 | 12 | 16 || **Controller 4** | 13 | 12 | 17 || **Controller 5** | 16 | 14 | 17 || **Controller 6** | 13 | 14 | 14 |### Explanation of the Data Table- **Systems**: The columns labeled System A, System B, and System C represent three different systems under which the controllers were tested.- **Controllers**: The rows labeled Controller 1 to Controller 6 represent the six different controllers being evaluated.- **Performance Scores**: The numerical values in the table represent the performance scores of each controller when operated under the specified system. Higher values indicate better performance.### Insights1. **Overall Performance**: - Controller 5 has the highest performance score of 16 in System A and shares the highest score of 17 with Controller 4 in System C. - Controller 1 leads with the highest individual score of 18 in System C.2. **Consistency**: - Controllers 1 and 5 show relatively consistent performance across all systems, with higher scores nearing or above 15 in all categories.3. **System Performance**: - System A sees the highest scores for Controller 1 and Controller 5, both achieving a score of 16. - System C provides the highest range of scores, spanning from 14 to 18, indicating variable controller performance across this system.### ConclusionThis table provides an efficient overview to determine the optimal controllers for various systems based on performance scores. For instance, Controller 1 appears to perform well across all systems, whereas Controller 5, showing high consistency particularly

System ASystem BSystem CController 1161518Controller 2141415Controller 3111216Controller…

Answered: Open et up the ANOVA table for this…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P