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Suppose that a customer is purchasing a car. He conducts an experiment in which

ID: 3063511 • 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. Full data set Car 1 207 236 242 235 243 286 266 164 294 251 162 324 279 323 270 Car 2 213 215 206 202 247 246 244 284 247 254 294 257 258 274 298 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. Click to select your answer(s).

Explanation / Answer

Car 2, because it has a lower sample standard deviation, hence more predictable gas mileage.

Car1 Car2 207 213 236 215 242 206 235 202 243 247 286 246 266 244 164 284 294 247 251 254 162 294 324 257 279 258 323 274 270 298 Mean 252.1 249.3 Median 251.0 247.0 Maximum 324.0 298.0 Minimum 162.0 202.0 Range 162.0 96.0 SD 48.5 30.5
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