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Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 252 hybrid sedans and get

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Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 252 hybrid sedans and get a mean of 24.75 mpg with a standard deviation of 6 mpg. Also, 245 non-hybrid sedans get a mean of 23.75 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 10% level of significance. Let population 1 denote non-hybrids and population 2 denote hybrids. (h) i. Alpha: Number X ii. Decision: Reject O the null hypothesis. iii. Reason for decision: p-value S iv. Conclusion: There is sufficient evidence to conclude that the mean miles per gallon of non-hybrid sedans is less than that of hybrid sedans

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