Problem

Solve the problem. Carter Motor Company claims that its new sedan, the Libra, will average better than 21 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. SLO 3 There is sufficient sample evidence to support the claim that the mean is greater than 21 miles per gallon. There is sufficient sample evidence to support the claim that the mean is less than 21 miles per gallon. There is not sufficient sample evidence to support the claim that the mean is greater than 21 miles per gallon. There is not sufficient sample evidence to support the claim that the mean is less than 21 miles per gallon.

Solution

Step 1 :The question is asking for a conclusion based on a hypothesis test. The null hypothesis in this case would be that the average mileage of the Libra is 21 miles per gallon or less.

Step 2 :Since the null hypothesis is rejected, it means that there is sufficient evidence to support the claim that the average mileage is greater than 21 miles per gallon.

Step 3 :Final Answer: \(\boxed{\text{There is sufficient sample evidence to support the claim that the mean is greater than 21 miles per gallon.}}\)

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