Suppose that a customer is purchasing a car. He conducts an experiment in which
ID: 3201259 • Letter: S
Question
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.
Car 1
248
230
204
227
243
285
285
157
280
251
163
318
273
316
272
Car 2
226
201
232
202
241
244
234
278
246
279
276
247
252
274
272
Describe each data set, that is determine the shape, center, and spread.
Sample mean for Car 1
x overbar equals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Sample mean for Car 2
x overbar equals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Median for Car 1
Mequals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Median for Car 2
Mequals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Range for Car 1
Requals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Range for Car 2
Requals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Sample standard deviation for Car 1
sequals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Sample standard deviation for Car 2
sequals
nothing
mi / 10 gal
(Type an integer or decimal rounded to one decimal place as needed.)
Which car would the customer buy and why?
A.
Car
1
,
because it has a lower mean gas mileage.
B.
Car
1
,
because it has a larger range of gas mileage.
C.
Car
2
,
because it has a lower sample standard deviation, hence more predictable gas mileage.
D.
There is very little difference between the two cars.
Explanation / Answer
Car2 is preferable, because it has a lower sample standard deviation, hence more predictable gas mileage.
Car1 Car2 1 248 226 2 230 201 3 204 232 4 227 202 5 243 241 6 285 244 7 285 234 8 157 278 9 280 246 10 251 279 11 163 276 12 318 247 13 273 252 14 316 274 15 272 272 Mean 250.1 246.9 Median 251.0 246.0 SD 48.3 25.7 Maximum 318.0 279.0 Minimum 157.0 201.0 Range 161.0 78.0Related Questions
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