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

question 2

Multiple Choice

Conduct Analysis of Variance on the Randomized Complete Block Design
-A farmer has a 160 acre tract of land that he is planting in corn. He has heard about advances in fertilizer technology that impacts yield. He divides his field into four sections and each section into four parts. He has three type of fertilizer to test and no fertilizer. He randomly selects a part of a section and then randomly selects a type of fertilizer for that part of a section so that each section has all four applications applied to it. The yields in bushel per acres are given below. Test at $\alpha = 0.05$ if there is a difference in yields.
$\begin{array}{|l|c|c|c|c|}\hline & \text { Field A } & \text { Field B } & \text { Field C } & \text { Field D } \\\hline \text { No fertilizer } & 5.7 & 10.4 & 7.3 & 9.0 \\\hline \text { Traditional } & 4.5 & 8.6 & 6.1 & 10.6 \\\hline \text { Liquid } & 4.1 & 6.3 & 5.8 & 7.2 \\\hline \text { Granular } & 2.6 & 7.2 & 4.6 & 8.7 \\\hline\end{array}$

• A) Fertilizer does result in significantly different yields.
• B) Fertilizer does not result in significantly different yields.

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Definitions:

Cognitive Dissonance

The mental discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values at the same time.

Emotional Discomfort

A feeling of unease or distress associated with difficult emotions or situations.

Group Responsibility

The concept that a collective group can be held accountable or responsible for actions or outcomes, often in a social or work context.

Moderate Expertise

A level of skill or knowledge that is above average but not at the level of an expert in a particular field.