An Agricultural Scientist Performs a 2-Way ANOVA to Determine the Effects

question 108

Multiple Choice

An agricultural scientist performs a 2-way ANOVA to determine the effects of three different soil mixtures on the sprouting time (in days) of three varieties of hybrid cucumber seeds. The following MINITAB output presents the results.
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 6.740741 & 3.37037 & 2.275 & 0.131563 \\ \text { Hybrid Variety } & 2 & 12.518519 & 6.259259 & 4.225 & 0.031306 \\ \text { Interaction } & 4 & 11.703704 & 2.925926 & 1.975 & 0.141653 \\ \text { Error } & 18 & 26.666667 & 1.481481 & & \\ \text { Total } & 26 & 57.62963 & & & \end{array}$
Can the mean effect of the soil mixture be interpreted? If so, interpret the main effect. Us $\alpha = 0.05$ level of significance.

• A) Yes. Do not reject \(H _ { 0 }\).
• B) Yes. Reject \(H _ { 0 }\).
• C) No.

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Definitions:

Mental Shortcuts

Cognitive strategies that simplify decision making by reducing the amount of information processed.

Cognitive Misers

A theory suggesting that humans, in an effort to conserve mental energy, prefer to rely on simple and efficient thought processes rather than engaging in more effortful and complex reasoning.

Judgements

Judgements are opinions or decisions formed after considering facts and evidence, often involving the evaluation of information to draw conclusions.

Emotional Relating

The process of connecting with others through emotions, empathizing with their feelings, and expressing one's emotional state.