4. Hypothesis Testing Consider a sample of the mpg of 4-cylinder cars 22.8 24.4 22.8 32.4 30.4 33.9 21.5 27.3 26.0 30.4 21.4 And 8-cylinder cars. 18.7 14.3 16.4 17.3 15.2 10.4 10.4 14.7 15.5 15.2 13.3 (a) If we wish to test a hypothesis regarding the difference in average mpg of 4 and 8 cylinder cars using the methods covered in this class, the populations must follow a certain distribution. Apply a hypothesis test for each of the above samples to test whether or not they fit that distribution requirement to a chosen ?. (b) Are the variances of these two populations the same? Perform a hypothesis test and report your results. (c) Setup and perform a hypothesis test for the null that 4 cylinder cars have greater gas mileage than 8 cylinder cars. Report your conclusion and your p-value of your test statistic.

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