A company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of m

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A company with a large fleet of cars hopes to keep gasolinecosts down and sets a goal of attaining a fleet average of morethan 35 miles per gallon. To see if the goal is being met, theycheck the gasoline usage for 100 company trips chosen at random,finding a mean of 37.2 mpg and a standard deviation of 3.5 mpg. Isthis strong evidence that they have failed to attain their fueleconomy goal? Let α = 0.05 for this. Make sure you show work andjustify your answers. a) Write appropriate hypotheses. b) Are thenecessary assumptions to perform inference satisfied? c) Test thehypothesis and find the test statistic and P-value. d) State yourconclusion in the context of the original goal