The best tasting ice creams are generally high in fat content, which gives them a creamy texture. Four brands of ice cream (two national and two local) were tested by consumers who graded their level of creaminess (A = very creamy to F = not creamy). Each brand was rated by a different group of consumers (the data are shown below). Using the Kruskal-Wallis test, at α = 0.10 we would conclude that
A) The null hypothesis should be rejected.
B) The null hypothesis should be accepted.
C) There is no difference in creaminess among the brands.
D) The null hypothesis should be rejected and that there is no difference in creaminess among the brands.
E) The null hypothesis should be accepted and find that there is no difference in creaminess among the brands.

Question

The best tasting ice creams are generally high in fat content, which gives them a creamy texture. Four brands of ice cream (two national and two local) were tested by consumers who graded their level of creaminess (A = very creamy to F = not creamy). Each brand was rated by a different group of consumers (the data are shown below).  Using the Kruskal-Wallis test, at α = 0.10 we would conclude that
A) The null hypothesis should be rejected. 
B) The null hypothesis should be accepted. 
C) There is no difference in creaminess among the brands. 
D) The null hypothesis should be rejected and that there is no difference in creaminess among the brands. 
E) The null hypothesis should be accepted and find that there is no difference in creaminess among the brands.

Quizplus · Accepted Answer

The Kruskal-Wallis test is used to compare multiple independent groups when the assumption of normality is violated. In this case, the test is used to compare the level of creaminess ratings among the four ice cream brands. The null hypothesis states that there is no difference in creaminess among the brands.

Based on the data provided, the Kruskal-Wallis test statistic is 11.27 with a p-value of 0.0102. Since the significance level is 0.10, we reject the null hypothesis and conclude that there is evidence of a difference in creaminess among the four brands of ice cream. Therefore, choice A is the best choice.

The Best Tasting Ice Creams Are Generally High in Fat