Question

formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. carter motor company claims that its new sedan, the libra, will average better than 32 miles per gallon in the city. assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

a. there is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
b. there is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon.
c. there is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
d. there is sufficient evidence to support the claim that the mean is less than 32 miles per gallon.

Explanation:

When we reject the null hypothesis in a hypothesis test for a claim about a mean (in this case, the mean miles - per - gallon of the sedan), it means we have enough evidence to support the alternative hypothesis. The original claim is that the mean is greater than 32 miles per gallon. Rejecting the null hypothesis (which would be \(H_0:\mu\leq32\) if the alternative is \(H_1:\mu > 32\)) implies that there is sufficient evidence for the claim that the mean is greater than 32 miles per gallon.

Answer:

C. There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.