4. (20 POINTS) Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hoped to meet a 2018 goal of better than 30.2 mpg for their fleet of cars. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel economy goal? a. Write appropriate hypotheses. (i.e. Determine and setup the hypothesis test.) b. Are all the necessary assumptions in place to make inferences ? c. Sketch the appropriate sampling t distribution for the model of mean fuel economy for samples like this and find the value of ttest statistics (Refer ppt slides 72 and slide #10} and impose this value on this sketch. d. Find the P-Value of this ttest statistics. (Refer ppt slides 8-3 and slide #7) Explain what the P-value means in this context. f. State an appropriate conclusion. E\