A group of home-brewers have always used a particular method of brewing beer. With the same amount of ingredients each time, their brews contain an average of = 13.737gallons of beer. The standard deviation is = 1.321gallons.

Rudy has a new and cheaper brewing method. While it is cheaper, Rudy suspects that it will decrease their productivity. The group decide to collect a sample of brewing amounts and conduct a hypothesis test on the mean amount of brew created by the new method. They will be using the value = 1.321as their population standard deviation. The null and alternative hypotheses are set to be:

H₀: = 13.737

H_A: < 13.737

Before they collect a sample or do the test, Sam thinks about the new brewing method. He suspects that, while it may decrease the average amount of brew created, it may actually increase it instead. Sam suggests that the alternative hypothesis should simply state that the population mean is not equal to 13.737:

H₀: = 13.737

H_A: 13.737

Sam believes that:

A) instead of conducting a two-tail test, they should conduct a one-tail test.

B) instead of conducting the particular one-tail test that was proposed, they should conduct a different kind of one-tail test.

C) instead of conducting the particular two-tail test that was proposed, they should conduct a different kind of two-tail test.

D) instead of conducting a one-tail test, they should conduct a two-tail test.