A researcher is testing the percent weight gain on mice of varying ages based upon the diet they eat. He has 4mice in each age category: 6 months, 9 months, 12 months and 15 months. They mice are weighed, fed onlyone of four diets and weighed after 1 month. The weight gain percent is then recorded. The data is givenbelow. Test at α = 0.05 if there is a difference in weights. $$\begin{array} { | l | c | c | c | c | }
\hline & \text { Diet A } & \text { Diet B } & \text { Diet C } & \text { Diet D } \
\hline \text { 6 months } & 5.2 & 5.3 & 5.8 & 5.6 \
\hline 9 \text { months } & 5.0 & 5.7 & 5.6 & 5.2 \
\hline 12 \text { months } & 5.3 & 6.1 & 6.1 & 5.0 \
\hline 15 \text { months } & 4.9 & 6.4 & 5.7 & 5.1 \
\hline
\end{array}$$
A) Diet does result in significantly different weight gains.
B) Diet does not result in significantly different weight gains.

Question

A researcher is testing the percent weight gain on mice of varying ages based upon the diet they eat. He has 4mice in each age category: 6 months, 9 months, 12 months and 15 months. They mice are weighed, fed onlyone of four diets and weighed after 1 month. The weight gain percent is then recorded. The data is givenbelow. Test at α = 0.05 if there is a difference in weights. $$\begin{array} { | l | c | c | c | c | } 
\hline & \text { Diet A } & \text { Diet B } & \text { Diet C } & \text { Diet D } \
\hline \text { 6 months } & 5.2 & 5.3 & 5.8 & 5.6 \
\hline 9 \text { months } & 5.0 & 5.7 & 5.6 & 5.2 \
\hline 12 \text { months } & 5.3 & 6.1 & 6.1 & 5.0 \
\hline 15 \text { months } & 4.9 & 6.4 & 5.7 & 5.1 \
\hline
\end{array}$$
A) Diet does result in significantly different weight gains.
B) Diet does not result in significantly different weight gains.

Quizplus · Accepted Answer

To determine if diet results in significantly different weight gains, an ANOVA test is typically used to compare means across multiple groups. The question does not provide the exact p-value from the ANOVA test, but instructs to test at α = 0.05. Given the context and the instruction to test for differences, the correct choice suggests that there is a significant difference in weight gains across the diets, implying that the ANOVA test would likely show a p-value less than 0.05, indicating significant differences in weight gains among the diets.

A Researcher Is Testing the Percent Weight Gain on Mice