Question

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	$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 α=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.

1) what is the test statistic? Round to 3 decimal places.
= ????

2) what is the p -value? Round to 4 decimal places.
p= ????

Answer 1

since same brand cars have been used, this is a dependent test:

from above:

1)

test statistic = -2.685

2)

p -value =0.0181