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please help with critical value, C and D Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their

please help with critical value, C and D

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Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each individual was given 10 gallons of 87-octane fuel and 10 gallons of 92-octane fuel. The number of miles each driver was able to drive until they ran out of gas with each type of fuel is recorded below. Driver 1 2 3 4 5 6 7 8 9 10 11 Miles on 87- 238 197 203 344 286 294 283 286 488 243 451 Octane Miles on 92- 268 191 228 342 275 298 279 302 465 267 465 Octane Miles on 87-Octane Miles on 92-Octane Can the researcher conclude that higher octane fuels result in better gas mileage? Use the a = 0.09 level. a. State the null and alternative hypotheses. Ho: ? v ? Select an answer v H1: ? v ? v Select an answer vb. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -3 -2 0 2 -3 -1 0 1 2 3 -3 -2 -1 0 1 2 3 Q Q Q O O Critical value(s): (If there are two critical values, list both values separated by a comma) c. Find the test statistic. d. Find the p-value. e. Decide: Select an answer v Ho f. Conclusion: At a = 0.09 significance level, there Select an answer | enough evidence to conclude that higher octane fuels result in better gas mileage

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