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.
a) Design an experiment that will require a two-sample t procedure to analyze the results.
b) Design an experiment that will require a matched-pairs t procedure to analyze the results.
c) Which experiment would you consider the stronger design? Why?