Write Ho and a H1 for the following problem statement in mathematical format (not verbal format): ?

Question

Write Ho and a H1 for the following problem statement in mathematical format (not verbal format):

Many people eat cookies with milk during holidays. Suppose a cookie company is concerned that the cookie equipment may not be functioning properly when filling 32-ounce bags.

Answer 1

Let μ denote the mean number of ounces in the bags of cookies. The null hypothesis would be

H0: μ = 32

The alternative hypothesis would depend on what specifically is the company's concern.

If they are just concerned about too much variability, then an appropriate alternative hypothesis would be

H1: μ ≠ 32

If they suspect that too many of the bags have more than 32 ounces (a cost concern), then an appropriate alternative hypothesis would be

H1: μ > 32

If they think that too many bags have less than 32 ounces and fear that customers may weigh bags and think they're getting gypped, then an appropriate alternative hypothesis would be

H1: μ < 32