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.

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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
$4,560
Test the claim above at the a = 0.1 level of significance. Note: A normal probability plot of difference in
car damages between SUVS and other cars indicates the population could be normal and a boxplot
indicated no outliers.
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume H, = H – 42,
where ui is the population mean cost for the SUV Damage and u2 is the mean cost for the Car
Damage.
Ho: Ha Select an answer V
H1:P Select an answerv
b. What is the significance level?
c. What is the test statistic? Round to 3 decimal places.
d. What is the p -value? Round to 4 decimal places.
e. Make a decision.
O Reject the null
O Do not reject the null
f. What is the conclusion?
O There is not sufficient evidence to support the claim that SUVS sustain less damage than cars in
a collision.
O There is sufficient evidence to support the claim that SUVS sustain less damage than cars in a
collision.
Transcribed Image Text:It is a common belief that SUVS are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car? SUV Damage ($) 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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