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More eggs can a food additive increase egg production

Question: More eggs? 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 matchedpairs't procedure to analyze the results.

c) Which experiment would you consider the stronger design? Why?

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