Automobiles manufactured by the AAA have been averaging 45 miles per gallon of g

Question

Automobiles manufactured by the AAA have been averaging 45 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 45 miles per gallon on independent testing service road-tested 36 of the automobiles. The sample showed an average of 47 miles per gallon with a standard deviation of 12 miles per gallon What are the appropriate null and alternative hypotheses? H_0: mu > 47 H_1: mu lessthanorequalto 47 H_0: mu lessthanorequalto 45 H_1: mu > 45 H_0: mu lessthanorequalto 36 H_1: mu > 36 H_0: mu greaterthanorequalto 40 H_1: mu

Explanation / Answer

Here the researcher claim is the new automobile is averaging more than 45 miles per gallon
Hence alternate hypothesis will be
H1: mu > 45

And the null hypothesis will be opposite of alternate
H0: mu <= 45

Hence option (2) is correct.

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