Video A study measuring the fatigue of air traffic controllers resulted in proposals for modficiation and...

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Video 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 = 0.01 to test for any significant differences. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak X Open spreadsheet Set up the ANOVA table for this problem. Show the entries to 2 decimals, if necessary. Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments 16.33 2 8.17 Blocks 32 5 6.4 Error 15.67 10 1.57 Total 64 17 Calculate the value of the test statistic (to 2 decimals). F 5.21 Calculate the value of the test statistic (to 2 decimals). 5.21 Calculate the critical value (to 2 decimals). 2.92 Calculate the p-value (to 4 decimals). 0.0281 Reject null hypothesis? No What is your conclusion? The population mean stress levels do not differ for the three workstation alternatives. System A System B System C Controller 1 16 15 18 Controller 2 14 14 14 Controller 3 10 11 15 Controller 4 13 13 17 Controller 5 16 14 16 Controller 6 14 14 14 Video 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 = 0.01 to test for any significant differences. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak X Open spreadsheet Set up the ANOVA table for this problem. Show the entries to 2 decimals, if necessary. Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments 16.33 2 8.17 Blocks 32 5 6.4 Error 15.67 10 1.57 Total 64 17 Calculate the value of the test statistic (to 2 decimals). F 5.21 Calculate the value of the test statistic (to 2 decimals). 5.21 Calculate the critical value (to 2 decimals). 2.92 Calculate the p-value (to 4 decimals). 0.0281 Reject null hypothesis? No What is your conclusion? The population mean stress levels do not differ for the three workstation alternatives. System A System B System C Controller 1 16 15 18 Controller 2 14 14 14 Controller 3 10 11 15 Controller 4 13 13 17 Controller 5 16 14 16 Controller 6 14 14 14