An independent research firm conducts a study to compare the taste of four new sports drinks.Five people are randomly assigned to each of the four drinks.Each person tastes the drink and judges it on a scale from one to five.
A)H0: μ1 = μ2 = μ3 = μ4 = μ5 vs.the alternative that not all the person mean scores are equal
B)H0: μdrink = μper vs.the alternative that the drink and person mean scores are not equal
C)H0: μ1 = μ2 = μ3 = μ4 vs.the alternative that not all the drink mean scores are equal
D)H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 vs.the alternative that all the drink mean scores are equal
E)H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 vs.the alternative that all the person mean scores are equal

Question

Quizplus · Accepted Answer

The null hypothesis states that all four drinks have the same mean taste score. This is the most appropriate hypothesis for comparing the mean scores of the different drinks. Choice A is incorrect because it compares the individual mean scores of each person, which is not the focus of the study. Choice B is incorrect because it compares the mean scores of the drinks and individuals, which is not necessary for the study. Choice D is incorrect because it assumes that all drinks have different mean scores, which is not necessarily true. Choice E is incorrect because it assumes that all people have different mean scores, which is also not necessarily true.

An Independent Research Firm Conducts a Study to Compare the Taste