dl evel of signm damages between SUVS and other cars indicate cated no outliers. a. Express the null and alternative hypotheses where ui is the population mean cost for the Damage.
dl evel of signm damages between SUVS and other cars indicate cated no outliers. a. Express the null and alternative hypotheses where ui is the population mean cost for the Damage.
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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Transcribed Image Text: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 Damage
($)
Car Damage
($)
SUV into Car
Honda CR-V into Honda Civic
$1,721
$1,274
Toyota RAV4 into Toyota Corolla
$1,434
$2,327
Hyundai Tuscon into Kia Forte
$850
$3,223
Volkswagon Tiguan into
Volkswagon 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
Test the claim above at the a = 0.1 level of significance. Note: A normal probability plot of difference in
car damages between SUVS and other cars indicates the population could be normal and a boxplot
indicated no outliers.
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume H, = H – 42,
where ui is the population mean cost for the SUV Damage and u2 is the mean cost for the Car
Damage.
Ho: Ha Select an answer V
H1:P Select an answerv
b. What is the significance level?
c. What is the test statistic? Round to 3 decimal places.
d. What is the p -value? Round to 4 decimal places.
e. Make a decision.
O Reject the null
O Do not reject the null
f. What is the conclusion?
O There is not sufficient evidence to support the claim that SUVS sustain less damage than cars in
a collision.
O There is sufficient evidence to support the claim that SUVS sustain less damage than cars in a
collision.
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