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 Honda CR-V into Honda Civic Toyota RAV4 into Toyota Corolla Hyundai Tuscon into Kia Forte Volkswagon Tiguan into Volkswagon Golf SUV Damage ($) $1,721 $1,434 $850 $2,329 $1,415 $1,470 $2,884 Car Damage ($) $1,274 $2,327 $3,223 $2,058 $3,095 $3,386 $4,560 Jeep Patriot into Dodge Caliber Ford Escape into Ford Focus Nissan Rogue into Nissan Sentra Test the claim above at the a = 0.1 level of significance. Note: A normal probability plot of difference in car damages between SUVs and other cars indicates the population could be normal and a boxplot indicated no outliers.
It is a common belief that SUVs are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car? SUV into Car Honda CR-V into Honda Civic Toyota RAV4 into Toyota Corolla Hyundai Tuscon into Kia Forte Volkswagon Tiguan into Volkswagon Golf SUV Damage ($) $1,721 $1,434 $850 $2,329 $1,415 $1,470 $2,884 Car Damage ($) $1,274 $2,327 $3,223 $2,058 $3,095 $3,386 $4,560 Jeep Patriot into Dodge Caliber Ford Escape into Ford Focus Nissan Rogue into Nissan Sentra Test the claim above at the a = 0.1 level of significance. Note: A normal probability plot of difference in car damages between SUVs and other cars indicates the population could be normal and a boxplot indicated no outliers.
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Transcribed Image Text:It is a common belief that SUVs are safer than cars. In a collision, does an SUV sustain less damage (cost of
repair) than a car?
SUV into Car
Honda CR-V into Honda Civic
Toyota RAV4 into Toyota Corolla
Hyundai Tuscon into Kia Forte
Volkswagon Tiguan into
Volkswagon Golf
Jeep Patriot into Dodge Caliber
Ford Escape into Ford Focus
Nissan Rogue into Nissan Sentra
SUV Damage
($)
$1,721
$1,434
$850
$2,329
$1,415
$1,470
$2,884
Test the claim above at the a = 0.1 level of significance. Note: A normal probability plot of difference in
car damages between SUVs and other cars indicates the population could be normal and a boxplot
indicated no outliers.
Car Damage
($)
$1,274
$2,327
$3,223
$2,058
$3,095
$3,386
$4,560
= μ1
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume μ
where ₁ is the population mean cost for the SUV Damage and μ2 is the mean cost for the Car
Damage.
Ho: p=0
H₁:μā
b. What is the significance level?
α =
<0
c. What is the test statistic? Round to 3 decimal places.
t v
d. What is the p-value? Round to 4 decimal places.
P =
μ2,
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