**Title: Comparing Damage Costs: SUVs vs. Cars**It is a common belief that SUVs are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car?**Data Table: SUV vs. Car Damage Costs**| Collision Type | SUV Damage ($) | Car Damage ($) ||-------------------------------------------|----------------|----------------|| Honda CR-V into Honda Civic | $1,721 | $1,274 || Toyota RAV4 into Toyota Corolla | $1,434 | $2,327 || Hyundai Tucson into Kia Forte | $850 | $3,223 || Volkswagen Tiguan into Volkswagen Golf | $2,329 | $2,058 || Jeep Patriot into Dodge Caliber | $1,415 | $3,095 || Ford Escape into Ford Focus | $1,470 | $3,386 || Nissan Rogue into Nissan Sentra | $2,884 | $4,560 |**Statistical Test: SUV vs. Car Damage**We aim to test the claim that SUVs sustain less damage than cars at the $\alpha = 0.1$ level of significance. A normal probability plot of differences, as well as a boxplot, indicate no outliers.- **Hypotheses:** - Null Hypothesis $ H_0: \mu_d $ (mean cost for SUV damage) - Alternative Hypothesis $ H_1: \mu_d $ (mean cost for car damage)- **Questions:** - **Significance Level:** $\alpha =$ ___________ - **Test Statistic (to 3 decimal places):** $ = $ ___________ - **p-value (to 4 decimal places):** $ p = $ ___________- **Decision:** - $\circ$ Do not reject the null - $\circ$ Reject the null - **Conclusion:** - $\circ$ There is sufficient evidence to support the claim that SUVs sustain less damage than cars in a collision. - $\circ$ There is not sufficient evidence to support the claim that SUVs sustain less damage than cars in a collision.This assessment helps in understanding whether SUVs are indeed safer in terms of damage costs during collisions compared to cars.

Answer: SUV into Car SUV Damage ($) Car Damage ($) Difference (d) Honda CR-V into Honda Civic…

a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Hã = H1 - 2, where u1 is the population mean cost for the SUV Damage and u2 is the mean cost for the Car Damage. Ho:Hã Select an answer H1:Hã Select an answer b. What is the significance level? α- c. What is the test statistic? Round to 3 decimal places. ? V = d. What is thep -value? Round to 4 decimal places. p = e. Make a decision. Do not reject the null Reject the null f. What is the conclusion? There is sufficient evidence to support the claim that SUVS sustain less damage than cars in a collision. There is not sufficient evidence to support the claim that SUVS sustain less damage than cars in a collision.

a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Hã = H1 - 2, where u1 is the population mean cost for the SUV Damage and u2 is the mean cost for the Car Damage. Ho:Hã Select an answer H1:Hã Select an answer b. What is the significance level? α- c. What is the test statistic? Round to 3 decimal places. ? V = d. What is thep -value? Round to 4 decimal places. p = e. Make a decision. Do not reject the null Reject the null f. What is the conclusion? There is sufficient evidence to support the claim that SUVS sustain less damage than cars in a collision. There is not sufficient evidence to support the claim that SUVS sustain less damage than cars in a collision.

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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