a. The ANOVA table for the piglet data set is shown below. Fill in the missing values ( 5 points) I_ _ 1.986 0-0004 0-0341 _ 1.452 _ 4-278 b. lGiven this analysis, what can you conclude about the effect of vitamin supplements on the growth rate of piglets? For full marks, provide: 1. Statistical null (Ho) and alternate (Ha) hypotheses (1 point) ii. The distribution of the test statistic if Ho is true, along with its df (1 point) iii. The value of the test statistic and the P-value (1 point) iv. Biological conclusions in terms of study variables (1 point) 2. Suppose that a colleague proposes an alternative design. In this design, all pigs in a given litter are to receive the same treatment, with the six litters being randomly allocated to the six treatments. He points out that this proposal would save labor and greatly simplify the recordkeeping. If you were the experimenter; how would you respond to this proposal? (2 points total) 3. This study was designed to investigate the effect of limpets on seaweed regeneration. The researcher scraped rocks so they were free of seaweed, and recorded seaweed regeneration under 3 conditions (treatments): 0 Limpets allowed full access 0 Limpets allowed limited access c Control: limpets denied access (by caustic paint) The researchers suspected that the abundance of limpets would vary with distance from the high tide line. They decided to use 4 blocks to control for this variation. Describe how they should design the experiment. (3 points total)