8. Random samples of four different models of compact cars were selected and the gas mileage of each car was measured. The results were: Model A Model B Model C Model D 22 24 32 25 23 23 26 25 25 22 35 23 22 29 30 30 Researchers want to test the claim that at a 1% signicance level the four models have the same population mean gas mileage. a. Write an appropriate null hypothesis and alternative hypothesis to test the claim that the four models have the same population mean gas mileage. (4 points) b. Use your calculator to calculate the F-test statistic and P-value. State their values below. (4 points) c. Based on the P-Value you wrote in part b, what can you conclude about the null hypothesis? Explain your answer. (4 points) d. Does your data support or not support the alternative hypothesis? Explain your answer. (4 points) e. Write a conclusion in context of the claim the researchers wanted to test. (4 points)