Question 10.31

carprice

31. New Car Prices. Kelley's Blue Book (www.kbb.com) publishes data on new and used cars. The following table contains the fair market value for five new 2013 and 2014 vehicles (data recorded July 2014). We are interested in the difference in price between the 2013 models and the 2014 models. Assume that the population of price differences is normally distributed.

  1. Find the mean of the differences, , and the standard deviation of the differences, .
  2. Test whether 2014 models are on average more expensive, using level of significance .
Toyotay
Camry
Honda
Civic
Ford
F-150
Chevy
Corvette
Tesla
Model S
2014
(sample 1)
$20,672 $17,069 $24,362 $45,684 $68,738
2013
(sample 2)
$20,284 $16,499 $22,674 $44,021 $68,674

10.1.31

Differences: $388, $570, $1688, $1663, $64 (a) and (b) versus . Reject if the . = 0.0301463228; The is , so we reject . There is evidence at level of significance that the population mean of the differences in price of cars is greater than 0. That is, there is evidence at level of significance that the 2014 models of cars are on average more expensive than the 2013 models of cars.