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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}


A) Diet does result in significantly different weight gains.
B) Diet does not result in significantly different weight gains.

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