In an effort to reduce departmental fuel costs for its fleet of government cars, senior level management at the Justice Department is trying to decide which major gasoline brand to direct field staff to use when on the road. In making that decision, management is trying to determine which gasoline brand offers the best performance for the price. 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, can a decision be made that there is evidence of a difference in performance of the two gasolines and can a choice be made?