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Some people believe that different octane gasoline result in different miles per gallon in a...

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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 1 2 3 4 5 6 7 8 9 10 Miles with 87 Octane 234 257 243 215 114 287 315 229 192 204 Miles with 92 Octane 237 238 229 224 119 297 351 241 186 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a 0 02 level of significance Note A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers a Express the null and alternative hypotheses in symbolic form for this claim Assume 2 where is the population mean mileage for Octane 87 and 2 is the mean mileage for Octane 92 Select an answer Ho Pa H Ha Select an answer b What is the significance level c What is the test statistic Round to 3 decimal places d What is the p value Round to 5 decimal places

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