Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Person Miles with 87 Octane Miles with 92 Octane 1 234 237 2 257 238 3 243 229 4 215 224 5 114 119 6 287 297 7 315 351 8 229 241 9 192 186 10 204 209 11 547 562
Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane.
| Person | Miles with 87 Octane |
Miles with |
| 1 | 234 | 237 |
| 2 | 257 | 238 |
| 3 | 243 | 229 |
| 4 | 215 | 224 |
| 5 | 114 | 119 |
| 6 | 287 | 297 |
|
7 |
315 | 351 |
|
8 |
229 | 241 |
|
9 |
192 | 186 |
|
10 |
204 | 209 |
|
11 |
547 | 562 |
Do the data support that different octanes produce different miles per gallon at the α=0.02α=0.02 level of significance? Note: A normal
What is the significance level?
α=_________
What is the test statistic? Round to 3 decimal places.
T or Z = _____________
What is the p -value? Round to 5 decimal places.
p=_______________
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