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In: Statistics and Probability

ab Company, they’ve randomly divided the company’s cabs into two groups of equal size. Graphlex was...

ab Company, they’ve randomly divided the company’s cabs into two groups of equal size. Graphlex was added to the engine oil of the 45 cabs in the experimental group, while the 45 cabs in the control group continued to operate with the usual lubricant. Drivers were not informed of the experiment. After 1 month, fuel efficiency records were examined. For the 45 cabs using Graphlex, the average cab achieved 18.94 miles per gallon (mpg), with a standard deviation of 3.90 mpg. For the 45 cabs not using Graphlex, the average mpg was 17.51, with a standard deviation of 2.87 mpg. Graphlex is preparing a national advertising campaign to promote its ability to improve fuel efficiency. Assuming normality, perform a hypothesis test to determine whether cabs using Graphlex (group 1) get better fuel economy than cabs without it (group 2). Use the ߙ ൌ 0.05 level of significance.

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