1 pts Some people believe that hilgher-octane fuels result in better gas mileage

Question

1 pts Some people believe that hilgher-octane fuels result in better gas mileage for their car. T ndomly selected 11 Individuals to participate in the study. Each participant received 10 gallons of gas and drove thelr car a closed course. The number of miles driven until the car ran out of gas was recorded. Then the participant received 10 more gallons of the other type of gas and again drove their car on a closed course with the number of miles driven until the A coin flip was used to determine whether the car was filled up with 87-octane or 92-octane first, and the driver did not know which fuel was in the tank. The mean difference, determined by subtracting the 92-octane mileage from the 87-octane mileage, was found to be 5.091 with a standard deviation of 14.707. The hypotheses that were tested are: Ha :0 What is the p-value for the test? O 1.1481 O 0.2777 O 0.1255 0.1388 Question 31

Explanation / Answer

Here the test is one tailed test

Here the mean difference = 5.091

standard deviationof differnece = 14.707

number of paired data = 11

standard error of difference = 14.707/sqrt(11) = 4.434

Test statistic

t = 5.091/4.434 = 1.148

degree of freedom = dF = 11 - 1 = 10

p- valaue = Pr(t >1.148 ; 10) = 0.1388

Option D is correct here.

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