Researchers were interested in the effect of a dietary supplement on weight gain in hogs. A total of 30 hogs, each housed in its own pen, were used for the experiment. Researchers used a completely randomized design to assign 6 hogs to each of 5 treatment groups. Each treatment involved adding a certain amount of the dietary supplement to the daily feed given to the hogs. The 5 amounts considered were 0, 20, 40, 60, and 80 g of the supplement per kg of feed. The amount of weight gained by each hog over the course of the study was measured and recorded in kilograms. Summary statistics are provided in the following table. Amount of supplement 0 20 40 60 80 Number of hogs 6 6 6 6 6 Mean weight gain 22 26 30 33 34 s.d. 1.10 0.89 1.41 1.10 0.63 1. Consider the amount of supplements as five treatments. Fill in the missing entries in the following ANOVA table. 1.12 Source DF SS MS F p-value Between ? ? ? ? ? Within ? ? ? Total ? ? 21.66 2. Use the entries in your ANOVA table to conduct one test of the null hypothesis that all five treatment means are identical against the alternative that says that not all five treatment means are identical. Provide the value of the test statistic, its degrees of freedom, an approximate p value, and a brief conclusion.