**Traffic Congestion Analysis Across Four Regions**A transportation strategist conducted a study to compare the traffic congestion levels across four different regions. The congestion level is defined as the percent increase in overall travel time compared to free flow conditions for a set of 10 cities in each region.**Hypothesis Testing:**The strategist aimed to determine if there is any evidence of a difference in the mean congestion level across these regions at a 0.05 level of significance.- **Hypotheses to Consider:** - **Option B:** - Null Hypothesis (H₀): μ₁ = μ₂ = μ₃ = μ₄ - Alternative Hypothesis (H₁): Not all μⱼ are equal (where j = 1, 2, 3, 4)- **Statistical Test Conducted:** - A one-way ANOVA was performed to test the hypothesis.- **Decision Criteria:** - The ANOVA test outputs an F-statistic and a p-value, which need to be compared to a critical value and the significance level, respectively, to reach a decision. - The p-value is compared to a threshold to decide whether to reject or not reject the null hypothesis. - If p-value < threshold, it indicates sufficient evidence to conclude a significant difference between regions.**Post-hoc Analysis:**If the ANOVA results suggest significant differences, a Tukey-Kramer procedure may be applied to determine specific regions where mean congestion levels differ.**Regions for Further Analysis:**At a 0.05 significance level, determine which regions show significant differences. Check the applicable pairs:- A. Region 1 and Region 2- B. Region 1 and Region 4- C. Region 2 and Region 3- D. Region 2 and Region 4**Traffic Congestion Data Table:**The data table provides the congestion percentages for each of the four regions, showing individual congestion levels for 10 different cities.**Considerations for Analysis:**- If ANOVA results are significant, further investigate using post-hoc tests to identify specific differences between regions.- Interpret findings to inform transportation strategies effectively.This information helps in understanding regional differences in congestion, enabling targeted improvements to traffic management policies.

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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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the variable "tv" measures how many hours participants watch television in a typical week. what is the median number of hours participants watch television? enter your answer rounded to two decimal places.
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