Question

formulate the indicated conclusion in nontechnical terms. be sure to address the original claim.

1. 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 less than 32 miles per gallon.
b) there is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
c) there is not 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 the null hypothesis is rejected in a hypothesis test, it means there is enough evidence to support the alternative hypothesis. Here, the claim is that the mean (average miles per gallon) is greater than 32 (alternative hypothesis \(H_1:\mu > 32\), null hypothesis \(H_0:\mu\leq32\)). Rejecting \(H_0\) implies support for \(H_1\).

Answer:

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