Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 25, Problem 1E

(a)

To determine

To design an experiment that will require a two sample t procedure to analyse the results.

(a)

Expert Solution
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Explanation of Solution

In the question agricultural researchers wants to design an experiment to find out can a food additive increase egg production. They have two kinds of feed: the regular feed and the new feed with the additive. Thus, to design an experiment that will require a two sample t procedure to analyse the results we have to randomly choose 50 hens of each of the two kinds of feed that is one for the regular feed and the other group for the new feed with the additive. And then we have to compare the mean egg production of the two groups at the end of one month.

(b)

To determine

To design an experiment that will require a matched-pairs t procedure to analyse the results.

(b)

Expert Solution
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Explanation of Solution

In the question agricultural researchers wants to design an experiment to find out can a food additive increase egg production. They have two kinds of feed: the regular feed and the new feed with the additive. Thus, to design an experiment that will require a matched-pairs t procedure to analyse the results we have to randomly divide the 100 hens into two groups of 50 hens each. And then feed the hens in the first group the normal feed for two weeks then switch them to the additive for two weeks. Then, feed the hens in the second group the additive for two weeks then switch to the normal feed for two weeks. Finally, then compare and analyse the differences in the hens' egg production.

(c)

To determine

To explain which experiment would you consider the stronger design and why.

(c)

Expert Solution
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Answer to Problem 1E

The matched pair design is considered to be stronger.

Explanation of Solution

In the question agricultural researchers wants to design an experiment to find out can a food additive increase egg production. They have two kinds of feed: the regular feed and the new feed with the additive. Thus, by looking at the two designs in the above part (a) and (b), that is to design an experiment that will require a two sample t procedure to analyse the results and second one to design an experiment that will require a matched-pairs t procedure to analyse the results, we can say that we would consider the design of the matched pairs the stronger design because the hens vary in their egg production and matched pairs will help with that.

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