Question

Carter Motor Company claims that its new sedan, the Libra, will average better than 26 miles per gallon in the city. Use μ, the true average mileage of the Libra.

Answer 1

The true average mileage of the Libra Using Null hypothesis is as ;

H0:μ≤26

(Ha):μ >26

Explanation:

Given:

Libra, will average better than 26 miles per gallon in the city

To Find:

Average mileage of the Libra.

Solution:

This problem is related to the null hypothesis and alternate hypothesis.

i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.

“reject H0” if the sample information favors the alternative hypothesis.

“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis

So given that condition is libra will have average better than 26

So it will include 26 and above values .

i.e. True condition is called as null hypothesis (H0)

so true average will be greater than 26

So H0:μ≤26

And the Alternate hypothesis will be the contradictory to true condition

(Ha):μ >26 .