Conduct Analysis of Variance on the Randomized Complete Block Design $\mathrm { A }$

question 44

Short Answer

Conduct Analysis of Variance on the Randomized Complete Block Design
-A farmer has five different fields. He wishes to test two different fertilizers. The yields of corn may vary from field to field depending on a number of factors such as soil quality, sunlight etc. He divides each field into three sections. For each field, he randomly assigns one of the sections to receive fertilizer $\mathrm { A }$ , one of the sections to receive fertilizer $B$ , and one of the sections to receive no fertilizer. At harvest time, he records the corn yields in bushels per acre for each section of each field. The results are shown in the table. Let $\mu _ { 1 }$ be the mean for fertilizer $A , \mu _ { 2 }$ the mean for fertilizer $B$ , and $\mu _ { 3 }$ the mean for no fertilizer. In a test of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 }$ versus $\mathrm { H } _ { 1 }$ : at least one of the means is different, the null hypothesis is rejected at the $\alpha = 0.05$ level of significance. Use Tukey's test to determine which pairwise means differ using a familywise error rate of $\alpha = 0.05$ . Give the P-value for each of the pairwise tests and state your conclusion.
$\begin{array}{l|c|c|c} & \text { Fertilizer A } & \text { Fertilizer B } & \text { No Fertilizer } \\\hline \text { Field 1 } & 132 & 141 & 128 \\\text { Field 2 } & 136 & 135 & 130 \\\text { Field 3 } & 144 & 147 & 139 \\\text { Field 4 } & 126 & 134 & 122 \\\text { Field 5 } & 130 & 128 & 125\end{array}$

Comprehend the role and physiological reactions of the sympathetic nervous system in emotions.

Acknowledge the universal and cultural aspects of emotional expressions.

Understand the psychological impacts of stress and burnout in work and personal life.

Define and differentiate between emotions, moods, and other affective states.

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Definitions:

Pre-Tax-And-Transfer Income

The measure of a household's income before taxes are deducted and before any government transfers, such as social security or unemployment benefits, are added.

Human Development Report

An annual report published by the United Nations Development Programme that measures countries' social and economic development levels.

Measure Of Inequality

An analytical tool used to quantify the degree of economic inequality within a population, such as the Gini coefficient.

Richest 10%

The segment of a population that holds the greatest wealth, typically measured as the top 10% in terms of income or assets.