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In: Statistics and Probability

For a random sample of 20 automobile models, we record the value of the model as...


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 CarDepreciation.

Click here for the dataset associated with this question.

(a) Find the mean and standard deviation of the Depreciation amounts in CarDepreciation.

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
Chrevolet Tahoe 45489 43463 2026
Chrevolet 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

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orchestra answered 1 year ago
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