Question 5 Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 288 hybrid sedans and get a mean of 24.75 mpg with a standard deviation 12 points of 5.25 mpg. Also, 230 non-hybrid sedans get a mean of 22.75 mpg with a standard deviation of 9 mpg. Suppose that both populations are known to be normal distributed. Conduct a hypothesis test to evaluate the manufacturers' claim. Test at a 8% level of significance. Let population 1 denote non-hybrids and population 2 denote hybrids. (a) Ho : M1 Click for List H2 (b) Ha : M1 Click for List H2 (c) In words, state what your random variable represents. The random variable is the Click for List miles per gallon of non-hybrid sedans and hybrid sedans.(d) Select the distribution to use for the test. O X 1 - X2 ~ N [o, M] O X ~ N [ u, o] O X1 - X2 ~ N [ /1 - 12, 0] O X 1 - X 2 ~ N [ M, o] o taf (e) What is the test statistic? Round your answer to three decimal places Test statistic = Number (f) What is the p-value? Round your answer to three decimal places. p-value = Number