Can a food additive increase egg production? Agricultural researchers want to design an experiment to find out. They have 100 hens available. They have two kinds of feed: the regular feed and the new feed with the additive. They plan to run their experiment for a month, recording the number of eggs each hen produces. Complete parts a) through c) below. a) Design an experiment that will require a two-sample t procedure to analyze the results. Randomly assign | hens to each of the two kinds of feed. Compare production at the end of b) Design an experiment that will require a matched-pairs t procedure to analyze the results. Give V hens the new feed for and the old feed for V, randomly selecting which feed the hens get first. Analyze the differences in production for the hens. c) Which experiment would you consider the stronger design? Why? O A. The two-sample analysis is stronger. There are only 100 hens available to sample, and the two-sample design will preserve more degrees of freedom. O B. The matched pairs analysis is stronger. There are only 100 hens available to sample, and the matched pairs design will preserve more degrees of freedom. O C. The two-sample analysis is stronger. Hens vary in egg production, and the two-sample design will control for that. O D. The matched pairs analysis is stronger. Hens vary in egg production, and the matched-pairs design will control for that