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Conduct Analysis of Variance on the Randomized Complete Block Design α=0.05\alpha = 0.05

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Conduct Analysis of Variance on the Randomized Complete Block Design
-A researcher is testing the percent weight gain on mice of varying ages based upon the diet they eat. He has 4 mice in each age category: 6 months, 9 months, 12 months and 15 months. They mice are weighed, fed only one of four diets and weighed after 1 month. The weight gain percent is then recorded. The data is given below. Test at α=0.05\alpha = 0.05 if there is a difference in weights.
 Diet A  Diet B  Diet C  Diet D 6 months 5.25.35.85.69 months 5.05.75.65.212 months 5.36.16.15.015 months 4.96.45.75.1\begin{array}{|l|c|c|c|c|}\hline & \text { Diet A } & \text { Diet B } & \text { Diet C } & \text { Diet D } \\\hline 6 \text { months } & 5.2 & 5.3 & 5.8 & 5.6 \\\hline 9 \text { months } & 5.0 & 5.7 & 5.6 & 5.2 \\\hline 12 \text { months } & 5.3 & 6.1 & 6.1 & 5.0 \\\hline 15 \text { months } & 4.9 & 6.4 & 5.7 & 5.1 \\\hline\end{array}


Definitions:

Complete Observer

A research role where the investigator observes subjects without interacting with them, remaining completely detached to avoid influencing their behavior.

Ethical Absolutist

Someone who believes in absolute principles of right and wrong, regardless of the context or situation.

Active Consent

A clearly and enthusiastically communicated agreement to participate in an activity or process, emphasizing the importance of voluntary participation.

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