Question

A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are:

Answer 1

The null hypothesis is
`H_0: \mu = 16.1`.

The alternate hypothesis is
`H_1: \mu < 16.1`

Explanation:

A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces.

This means that at the null hypothesis, we test if the mean amount of juice is of 16.1, as claimed, that is:

`H_0: \mu = 16.1`

A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.

This means that at the alternate hypothesis, we test if the mean amount of juice is less than the claimed mean of 16.1 ounces. So:

`H_1: \mu < 16.1`