Question

The Carter Motor Company claims that its new sedan, the Libra, will average better than 31 miles per gallon in the city. Assuming that a hypothesis test is conducted to test this claim, identify the null hypothesis H0 and the alternative hypothesis Ha.

Answer 1

The null hypothesis
`H_o : \mu = 31`

The alternative hypothesis
`H_a : \mu > 31`

Explanation:

From the question we are told that

The population mean is
`\mu = 31 \ miles / gallon`

Generally

The null hypothesis is that the company's new sedan, the Libra, will have an average of
`\mu = 31 \ miles / gallon`

This mathematically represented as

The null hypothesis
`H_o : \mu = 31`

The alternative hypothesis is that the company's new sedan, the Libra, will have an average better than
`\mu = 31 \ miles / gallon`

This mathematically represented as

The alternative hypothesis
`H_a : \mu > 31`