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11/14/22, 4:45 AM Indiana Tech - Homework 6 Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon O (mpg) than hybrid ones. Suppose that consumers test 278 hybrid sedans and get a mean of 27.75 mpg with a standard deviation of 6.5 mpg. Also, 274 non-hybrid sedans get a mean of 25.75 mpg with a standard deviation of 6.25 mpg. Suppose that both populations are known to be normal distributed. Conduct a hypothesis test to evaluate the manufacturers' claim. Test at a 10% level of significance. Let population 1 denote non-hybrids and population 2 denote hybrids. (a) Ho: M1 Click for List H2 (b) Ha: H1 Click for List - 1 2 (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 X1 - X2 ~ N [ M1 - 12, 0] O X1 - X2 ~ NIM, o O X1 - X2 ~ No, M] (h ) O X~ NIM, o] i. Alpha: Number Decision: Click for List the null hypothesis. o taf ili. Reason for decision: p-value Click for List iv. Conclusion: There Click for List sufficient evidence to con miles per gallon of non-hybrid sedans is less than that of hybrid seda (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 (g) Select the correct graph of this situation