For a random sample of 20 automobile models, we record the value of the model as a
Question:
For a random sample of 20 automobile models, we record the value of the model as a new car and the value after the car has been purchased and driven 10 miles.1 The difference between these two is a measure of the depreciation on the car just by driving it off the lot. Depreciation values from our sample of 20 automobile models can be found in the dataset Car Depreciation.
Click here for the dataset associated with this question.
(a) Find the mean and standard deviation of the Depreciation amounts in Car Depreciation.
Mean =$
Standard deviation =
(b) Use StatKey or other technology to create a bootstrap distribution of the sample mean of depreciations. Describe the center and spread of this distribution.
Center =
Standard error =
(c) Use the standard error obtained in your bootstrap distribution to find a 95% confidence interval for the mean amount a new car depreciates by driving it off the lot.
The interval is $ to
1New and used automobile costs were determined using 2015 models on kellybluebook.com.
Car | New | Used | Depreciation | |
Mazda3 | 17956 | 15326 | 2630 | |
Buick Encore | 23633 | 21498 | 2135 | |
Toyota Corolla | 16091 | 14761 | 1330 | |
Chevrolet Tahoe | 45489 | 43463 | 2026 | |
Chevrolet Equinox | 21596 | 19149 | 2447 | |
Ford Fiesta | 14246 | 12220 | 2026 | |
BMW 528i | 46227 | 44582 | 1645 | |
Mitsubishi Mirage | 14013 | 11603 | 2410 | |
GMC Yukon | 47295 | 45635 | 1660 | |
Dodge Dart | 16139 | 13880 | 2259 | |
Honda Accord Hybrid | 27124 | 25008 | 2116 | |
Audi Q5 | 37521 | 35579 | 1942 | |
Hyundai Elantra | 16807 | 14876 | 1931 | |
Kia Sedona | 25710 | 22178 | 3532 | |
Dodge Grand Caravan | 21337 | 17390 | 3947 | |
Lexus CT | 30743 | 27182 | 3561 | |
Lincoln MKZ Hybrid | 33522 | 30892 | 2630 | |
Mercedez-Benz E-Class | 47178 | 42956 | 4222 | |
Scion tC | 19748 | 18697 | 1051 | |
MINI Countryman | 25130 | 23513 | 1617 |