Question

The National Turkey Association wants to experiment with the effects of three different feed mixtures on weight gain in poults. Because no experience exists regarding the three mixtures, no assumptions regarding the population distribution of weights exist. To study the effects of the three mixtures, five poults were given feed A, six were given feed B, and five were given feed Cover a three- week time period. Test at the 0.02 level the hypothesis that there is no effect of feed mixture on weight. (Round your answers to 3 decimal places.) 12.4 Weight (in pounds) Feed Mixture Feed Mixture B Feed Mixture C 13.2 12.1 10.9 11.2 12.8 10.7 111 11.8 12.4 12.9 12.0 10.9 Click here for the Excel Data File

Answer 1

(1) Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho: The samples come from populations with equal medians

Ha: The samples come from populations with medians that are not all equal

The above hypotheses will be tested using the Kruskal-Wallis test.

(2) Rejection Region

Based on the information provided, the significance level is α=0.02, and the number of degrees of freedom is df=3−1=2. Therefore, the rejection region for this Chi-Square test is R={χ^2:χ^2>7.824}.

(3) Test Statistics

12 3(N 1) Н N(N 1)n n2 61.52 34.52 402 12 3(16 1) 4.64 16(16 1) 5 6 5

Reject H0 if H >7.824

Computed H= 4.64

There is NOT Sufficient evidence that the mean weights of the turkeys are not same.