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

question 24

Multiple Choice

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 $\alpha = 0.05$ if there is a difference in weights.
$\begin{array}{|l|c|c|c|c|}\hline & \text { Diet A } & \text { Diet B } & \text { Diet C } & \text { Diet D } \\\hline 6 \text { months } & 5.2 & 5.3 & 5.8 & 5.6 \\\hline 9 \text { months } & 5.0 & 5.7 & 5.6 & 5.2 \\\hline 12 \text { months } & 5.3 & 6.1 & 6.1 & 5.0 \\\hline 15 \text { months } & 4.9 & 6.4 & 5.7 & 5.1 \\\hline\end{array}$

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

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Definitions:

Cartel

An association of independent businesses or countries that work together to control prices and limit competition within a certain industry or commodity market.

Oligopolists

Firms or entities within an oligopoly, a market structure characterized by a small number of large firms dominating the industry, which can influence prices and market outcomes.

Kinked-demand Model

An economic theory that predicts prices in certain competitive markets will remain stable despite economic pressures that would normally cause prices to fluctuate.

Allocative Efficiency

The state of resources being allocated in a way that maximizes the welfare or utility of consumers according to their preferences.