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.

Car1
232 243 219 208 242
268 284 174 285 251
163 307 281 307 289

Car2
243 205 244 217 258
257 203 286 245 253
275 250 259 281 265

a. Describe each data set, that is determine the shape, center, and spread

i. Sample mean for Car 1

ii. Sample mean for Car 2

Answer 1

mean = 250.2

mean = 249.4

Explanation:

given data

experiment = 15 times

solution

we get here mean that is express as

mean =
`(\sum x )/(n)` ............1

so mean for cart 1 is

mean =
`(232+ 268 + 163+ ....+ 289)/(15)`

mean = 250.2

and

mean for cart 2

mean =
`(243+ 257 + 257 + ....+ 265)/(15)`

mean = 249.4