## Study on Display Panels for Air Traffic Controllers### OverviewA study explored the effectiveness of three different display panels used by air traffic controllers under various emergency conditions. Twenty-four highly trained air traffic controllers participated. Each display panel was tested under four unique emergency scenarios with two controllers assigned to each panel-condition combination. The response time (in seconds) required to stabilize each condition was recorded.### Data Summary#### Display Panel DataThe table below displays the average response time (in seconds) for each display panel under different emergency conditions.| Display Panel | Emergency Condition 1 | Condition 2 | Condition 3 | Condition 4 ||---------------|----------------------|-------------|-------------|-------------|| A | 17 | 25 | 31 | 14 || B | 14 | 24 | 23 | 13 || C | 21 | 29 | 27 | 19 |#### Least Squares Means EstimatesThis table provides the least squares mean estimates for each display panel and condition.| Panel | Estimate ||-------|----------|| A | 17.166667|| B | 20.500000|| C | 25.625000|| Condition | Estimate ||-----------|----------|| 1 | 18.333333|| 2 | 21.500000|| 3 | 24.166667|| 4 | 13.333333|### Analysis of Variance (ANOVA)The table below shows the results from a two-way ANOVA analysis.| Source | DF | Sum of Squares | Mean Square | F Ratio | Prob > F ||-------------|----|----------------|-------------|----------|----------|| Model | 11 | 1482.4583 | 134.769 | 32.6713 | <.0001* || Error | 12 | 49.5000 | 4.125 | | || Total | 23 | 1531.9583 | | | |### Effect Tests| Source | Nparm | DF | Sum of Squares | F Ratio | Prob > F ||------------------|-------|----|----------------|----------|----------|| Panel | 2 | The image presents a set of statistical problems related to pairwise comparisons and confidence intervals, likely intended for an educational setting on statistical analysis methods. Below is a transcription and detailed description of the text and diagrams:---**(d)** Make pairwise comparisons of display panels A, B, and C by using Tukey simultaneous 95 percent confidence intervals. *(Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)*| | | | ||--------|-------|-------|-------|| μA - μB: | | | || μA - μC: | | | || μB - μC: | | | |**(e)** Make pairwise comparisons of emergency conditions 1, 2, 3, and 4 by using Tukey simultaneous 95 percent confidence intervals. *(Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)*| | | | ||---------|-------|-------|-------|| μ1 - μ2: | | | || μ1 - μ3: | | | || μ1 - μ4: | | | || μ2 - μ3: | | | || μ2 - μ4: | | | || μ3 - μ4: | | | |**(f)** Which display panel minimizes the time required to stabilize an emergency condition? Does your answer depend on the emergency condition? Why?| Panel B minimizes the time required to stabilize an emergency condition. ||--------------------------------------------------------------------------|| No, there is no interaction. |**(g)** Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. *(Round your answers to 2 decimal places.)*| Confidence interval | [ | ] |---The problems involve using Tukey's method for comparing means and assessing which display panel requires the least time for stabilizing emergency conditions, providing educational insight into statistical decision-making and data analysis.

d) lower limit upper limit µa-µb 0.3751 5.8749 µa-µc -6.9999 -1.5001 µb-µc -10.1249…

Answered: (d) Make pairwise comparisons of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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