Question

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

Carter Motor Company claims that its old sedan, the Libra, would average less than 19 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.

Answer 1

The claim made by the motor company was true. The old sedan, the Libra, would average less than 19 miles per gallon in the city.

Explanation:

In this case we need to test the claim made by the Carter Motor Company, that their old sedan, the Libra, would average less than 19 miles per gallon in the city.

The hypothesis to test the claim is as follows:

H₀: The old sedan, the Libra, would average not less than 19 miles per gallon in the city, i.e. μ ≥ 19.

Hₐ: The old sedan, the Libra, would average less than 19 miles per gallon in the city, i.e. μ < 19.

It is provided that the conclusion is to reject the null hypothesis.

This implies that, it was concluded that the old sedan, the Libra, would average less than 19 miles per gallon in the city.

Hence, the claim made by the motor company was true.