The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?
The average drying time of a manufacturer’s paint is
20 minutes. Investigating the effectiveness of a modifica-
tion in the chemical composition of her paint, the manu-
facturer wants to test the null hypothesis μ = 20 minutes
against a suitable alternative, where μ is the average dry-
ing time of the modified paint.
(a) What alternative hypothesis should the manufacturer
use if she does not want to make the modification in the
chemical composition of the paint unless it decreases the
drying time?
(b) What alternative hypothesis should the manufacturer
use if the new process is actually cheaper and she wants to
make the modification unless it increases the drying time
of the paint?
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