1 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 a = 0.01 to test for any significant differences. X I Open spreadsheet Set up the ANOVA table for this problem. Show the entries to 2 decimals, if necessary. F Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments 20.33 2 10.17 4.69 Blocks 26.50 X 5.30 Error 21.67 X 10 2.17 Total 68.50 17 Calculate the value of the test statistic (to 2 decimals). 4.69 Calculate the critical value (to 2 decimals). 4.10 Calculate the p-value (to 4 decimals), 0.0365 Reject null hypothesis? No What is your conclusion? The population mean stress levels do not differ for the three workstation alternatives. Check My Work Roset Problem X Excel Formulas Data Review View File Home Insert ... 10 D7 fx 13 00 E F B D System A System B System C 15 15 19 15 14 15 11 12 15 13 12 18 16 14 16 14 13 13 1 2 Controller 1 3 Controller 2 4 Controller 3 5 Controller 4 6 Controller 5 7 Controller 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 1 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 a = 0.01 to test for any significant differences. X I Open spreadsheet Set up the ANOVA table for this problem. Show the entries to 2 decimals, if necessary. F Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments 20.33 2 10.17 4.69 Blocks 26.50 X 5.30 Error 21.67 X 10 2.17 Total 68.50 17 Calculate the value of the test statistic (to 2 decimals). 4.69 Calculate the critical value (to 2 decimals). 4.10 Calculate the p-value (to 4 decimals), 0.0365 Reject null hypothesis? No What is your conclusion? The population mean stress levels do not differ for the three workstation alternatives. Check My Work Roset Problem X Excel Formulas Data Review View File Home Insert ... 10 D7 fx 13 00 E F B D System A System B System C 15 15 19 15 14 15 11 12 15 13 12 18 16 14 16 14 13 13 1 2 Controller 1 3 Controller 2 4 Controller 3 5 Controller 4 6 Controller 5 7 Controller 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29