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? SUV into Car SUV Damage ($) Car Damage (S) Honda CR-V into Honda Civic 1721 1274 Toyota RAV4 into Toyota Corolla 1434 2327 Hyundai Tuscon into Kia Forte 850 3223 Volkswagon Tiguan into Valkswagon Golf 2329 2058 Jeep Patriot into Dodge Caliber 1415 3095 Ford Escape into Ford Focus 1470 3386 Nissan Rogue into Nissan Sentra 2884 4560 Test the claim above at the a =.1 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = SUV-Car. Enter != for +. P1 :°H Ha: Hd b) What is the significance level? a = 0.10 c) What is the test statistic? Round to 3 decimal places. t v = -2.347 d) What is the p-value? Round to 4 decimal places. p =| 0.0204
It is a common belief that SUVS are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car? SUV into Car SUV Damage ($) Car Damage (S) Honda CR-V into Honda Civic 1721 1274 Toyota RAV4 into Toyota Corolla 1434 2327 Hyundai Tuscon into Kia Forte 850 3223 Volkswagon Tiguan into Valkswagon Golf 2329 2058 Jeep Patriot into Dodge Caliber 1415 3095 Ford Escape into Ford Focus 1470 3386 Nissan Rogue into Nissan Sentra 2884 4560 Test the claim above at the a =.1 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = SUV-Car. Enter != for +. P1 :°H Ha: Hd b) What is the significance level? a = 0.10 c) What is the test statistic? Round to 3 decimal places. t v = -2.347 d) What is the p-value? Round to 4 decimal places. p =| 0.0204
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Exploring the Safety of SUVs Compared to Cars in Collisions**
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?
| SUV into Car | SUV Damage ($) | Car Damage ($) |
|--------------------------------------|----------------|----------------|
| Honda CR-V into Honda Civic | 1721 | 1274 |
| Toyota RAV4 into Toyota Corolla | 1434 | 2327 |
| Hyundai Tucson into Kia Forte | 850 | 3223 |
| Volkswagen Tiguan into Volkswagen Golf | 2329 | 2058 |
| Jeep Patriot into Dodge Caliber | 1415 | 3095 |
| Ford Escape into Ford Focus | 1470 | 3386 |
| Nissan Rogue into Nissan Sentra | 2884 | 4560 |
**Testing the Hypothesis at the \( \alpha = 0.1 \) Level of Significance**
a) **Hypotheses**:
- Express the null and alternative hypotheses in symbolic form for this claim. Assume \( d = \text{SUV} - \text{Car} \). Enter \( \neq \) for \( \neq \).
\[
H_0: \mu_d \quad \text{[Null Hypothesis Box]}
\]
\[
H_a: \mu_d \quad \text{[Alternative Hypothesis Box]}
\]
b) **Significance Level**:
- What is the significance level?
- \( \alpha = 0.10 \) [Correct]
c) **Test Statistic**:
- What is the test statistic? Round to 3 decimal places.
- \( t = -2.347 \) [Incorrect]
d) **P-Value**:
- What is the p-value? Round to 4 decimal places.
- \( p = 0.0204 \) [Incorrect]
This analysis explores whether SUVs indeed incur less damage in collisions compared to cars. With the information provided, critical assessments are made regarding safety perceptions based on repair costs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab306750-7c99-4ab7-aa22-5313632298af%2F3db43d31-d1d6-4882-8205-fe3ea144ba55%2Fxikyj0j_processed.png&w=3840&q=75)
Transcribed Image Text:**Exploring the Safety of SUVs Compared to Cars in Collisions**
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?
| SUV into Car | SUV Damage ($) | Car Damage ($) |
|--------------------------------------|----------------|----------------|
| Honda CR-V into Honda Civic | 1721 | 1274 |
| Toyota RAV4 into Toyota Corolla | 1434 | 2327 |
| Hyundai Tucson into Kia Forte | 850 | 3223 |
| Volkswagen Tiguan into Volkswagen Golf | 2329 | 2058 |
| Jeep Patriot into Dodge Caliber | 1415 | 3095 |
| Ford Escape into Ford Focus | 1470 | 3386 |
| Nissan Rogue into Nissan Sentra | 2884 | 4560 |
**Testing the Hypothesis at the \( \alpha = 0.1 \) Level of Significance**
a) **Hypotheses**:
- Express the null and alternative hypotheses in symbolic form for this claim. Assume \( d = \text{SUV} - \text{Car} \). Enter \( \neq \) for \( \neq \).
\[
H_0: \mu_d \quad \text{[Null Hypothesis Box]}
\]
\[
H_a: \mu_d \quad \text{[Alternative Hypothesis Box]}
\]
b) **Significance Level**:
- What is the significance level?
- \( \alpha = 0.10 \) [Correct]
c) **Test Statistic**:
- What is the test statistic? Round to 3 decimal places.
- \( t = -2.347 \) [Incorrect]
d) **P-Value**:
- What is the p-value? Round to 4 decimal places.
- \( p = 0.0204 \) [Incorrect]
This analysis explores whether SUVs indeed incur less damage in collisions compared to cars. With the information provided, critical assessments are made regarding safety perceptions based on repair costs.
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