Question

You wondered if the sugar content in energy dinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz. dink state it contains 34g sugar. You randomly sampled 40 cans and measured its sugar content and found a sample mean of 35.6 and a standard deviation of 0.5. The correct hypotheses for said study should be

Answer 1

The null hypothesis should be
`H_0: \mu = 12`

The alternate hypothesis should be
`H_1: \mu \\eq 12`

Explanation:

You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.

At the null hypothesis, we test if the sugar content is the same labeled, that is:

`H_0: \mu = 12`

At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.

`H_1: \mu \\eq 12`