The owners of a fast food restaurant have automatic drink dispensers to help fill orders more quickly. When the 12 ounce button is pressed, they would like for exactly 12 ounces of beverage to be dispensed. There is, however, some variation in this amount. The company does not want the machine to systematically over fill or under fill the cups. Which of the following gives the correct set of hypotheses? A)H₀: u 12, H_a: u 12 D)H₀: u ≥ 12, H_a: u

Question

The owners of a fast food restaurant have automatic drink dispensers to help fill orders more quickly. When the 12 ounce button is pressed, they would like for exactly 12 ounces of beverage to be dispensed. There is, however, some variation in this amount. The company does not want the machine to systematically over fill or under fill the cups. Which of the following gives the correct set of hypotheses? A)H₀: u > 12, H_a: u < 12 B)H₀: u = 12, H_a: u ≠ 12 C)H₀: u ≤ 12, H_a: u > 12 D)H₀: u ≥ 12, H_a: u < 12

Quizplus · Accepted Answer

The null hypothesis is that the mean amount dispensed is equal to 12 ounces, so H₀: u = 12. The alternative hypothesis should state that the machine does not systematically over or under fill the cups, so H_a: u ≥ 12 and u ≤ 12 become H_a: u > 12 and u < 12. Choice D is the only one where the alternative hypothesis is correctly stated.

The Owners of a Fast Food Restaurant Have Automatic Drink