Question 208250: An independent testing agency has been contracted to determine whether there is any difference in gasoline mileage output of two different gasolines used in the same model automobile. The first gasoline was tested on 200 cars and produced a sample average of 18.5 miles per gallon with a standard deviation of 4.6 miles per gallon. The second was tested on a sample of 100 cars and produced a sample average of 19.34 miles per gallon with a standard deviation of 5.2 miles per gallon. At the .05 level of significance, is there evidence of a difference in performance of the two gasolines?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An independent testing agency has been contracted to determine whether there is any difference in gasoline mileage output of two different gasolines used in the same model automobile. The first gasoline was tested on 200 cars and produced a sample average of 18.5 miles per gallon with a standard deviation of 4.6 miles per gallon. The second was tested on a sample of 100 cars and produced a sample average of 19.34 miles per gallon with a standard deviation of 5.2 miles per gallon. At the .05 level of significance, is there evidence of a difference in performance of the two gasolines?
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I ran a 2-Sample T-Test and got the following:
test statistic = -1.3695...
p-value = 0.1726
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Since the p-value is greater than 5%, do not reject Ho.
There is no statistical difference.
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Cheers,
Stan H.
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