Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 254 hybrid sedans and get a mean of 26 mpg with a standard deviation of 4 mpg. Also, 237 non-hybrid sedans get a mean of 24 mpg with a standard deviation of 6 mpg. Suppose that both populations are known to be normal distributed. Conduct a hypothesis test to evaluate the manufacturers' claim. Test at a 4% level of significance. Let population 1 denote non-hybrids and population 2 denote hybrids. (a) H0 : μ1 ______ μ2 (b) Ha : μ1 _______ μ2 (c) In words, state what your random variable represents.
Some manufacturers claim that non-hybrid sedan cars have a lower
Conduct a hypothesis test to evaluate the manufacturers' claim. Test at a 4% level of significance.
Let population 1 denote non-hybrids and population 2 denote hybrids.
(a) H0 : μ1 ______ μ2
(b) Ha : μ1 _______ μ2
(c) In words, state what your random variable represents.
The random variable is the (mean / difference in the / difference in the mean) miles per gallon of non-hybrid sedans and hybrid sedans.
![(d) Select the distribution to use for the test.
o X1 - X2 ~ N [41 - 42,0]
o X1 - X2 ~ N (o, µ)
o taf
o X1 - X2 ~ N [4, o]
o X~ N[µ, 0]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b43a413-5ad6-43b5-9196-ad3bbc6277f4%2Fc3eaaf4c-fcd2-40c6-8604-fb6d20795fb8%2Fxg4gv2p_processed.jpeg&w=3840&q=75)
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