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 alternative 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 at least one of the brands has a different distribution from the others.
E) as H = 14.514 χ2 = 6.251, the level of creaminess is the same for all 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 alternative 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 at least one of the brands has a different distribution from the others. 
E) as H = 14.514 > χ2 = 6.251, the level of creaminess is the same for all brands.

Quizplus · Accepted Answer

The Kruskal-Wallis test is used to compare medians of three or more groups. The null hypothesis is that there is no difference in medians among the groups. The alternative hypothesis is that at least one group has a different median from the others. Based on the data and the test results, H = 14.514 and the p-value is less than 0.1 (since α = 0.1). Therefore, we reject the null hypothesis and conclude that at least one of the brands has a different distribution of creaminess from the others.

The Best Tasting Ice Creams Are Generally High in Fat