Question

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 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 greater than 32 miles per gallon.C. There is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon.D. There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon.

Answer 1

For this case Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city since that's what they want to proof represent the alternative hypothesis and the by with the complement rule we will have the null hypothesis.

Null hypothesis:
`\mu \leq 32`

Alternative hypothesis:
`\mu >32`

The conclusion for this case is reject the null hypothesis so then we have enough evidence to say that the true mean is significantly higher than 32 mpg.

And the best conclusion for this case is:

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

Explanation:

For this case Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city since that's what they want to proof represent the alternative hypothesis and the by with the complement rule we will have the null hypothesis.

Based on the info given the system of hypothesis for this case are:

Null hypothesis:
`\mu \leq 32`

Alternative hypothesis:
`\mu >32`

The conclusion for this case is reject the null hypothesis so then we have enough evidence to say that the true mean is significantly higher than 32 mpg (alternative hypothesis).

And the best conclusion for this case is:

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