It is a commonly held belief that SUVs are safer than cars. If an SUV and car are in a collision, does the SUV sustain less damage (as suggested by the cost of repair)? The Insurance Institute for Highway Safety crashed SUVs into cars. The SUV was moving 10 miles per hour and the front of the SUV crashed into the rear of the car.
(a) Why are these matched-pairs data?
(b) Draw a boxplot of the differenced data. Does the visual evidence support the belief that SUVs have a lower repair cost?
(c) Do the data suggest the repair cost for the car is higher? Use an α = 0.05 level of signiﬁcance.