Data from a Randomized Block Design Are Shown in the Following

question 34

Multiple Choice

Data from a randomized block design are shown in the following table. $\begin{array}{c}\quad\quad\quad\text { Treatment Levels }\\\begin{array}{l}\\\text {Block 1}\\\text {Block 2}\\\text {Block3}\end{array}\begin{array}{l}1 \\8 \\6 \\7 \end{array}\begin{array}{l}2 \\5 \\6 \\8 \end{array}\begin{array}{c}3 \\10 \\9 \\8 \end{array}\begin{array}{r}4\\7\\5\\9\end{array}\end{array}$
Using $\alpha$ = 0.05, the appropriate decision for the treatments is ________.

• A)do not reject the null hypothesis \(\mu\) ₁ = \(\mu\) ₂ = \(\mu\) ₃
• B)do not reject the null hypothesis \(\mu\) ₁ =\(\mu\)₂=\(\mu\)₃=\(\mu\) ₄
• C)do not reject the null hypothesis \(\mu\) ₁ \(\ge\) \(\mu\) ₂ \(\ge\) \(\mu\) ₃ \(\ge\)\(\mu\) ₄
• D)do not reject the null hypothesis \(\mu\) ₁ \(\le\) \(\mu\) ₂ \(\le\) \(\mu\) ₃
• E)do nothing

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Definitions:

Polygraph

A device used to detect physiological changes in a person's body as a response to questions asked, aiming to determine truthfulness.

Insulin Levels

The concentration of insulin, a hormone produced by the pancreas, in the bloodstream which is crucial for regulating blood glucose levels.

Brain Activity

The functionality and processes executed by the brain, including neural activity, as measured by various techniques such as fMRI or EEG.

Respiration

The biochemical process of exchanging gases between an organism and its environment, involving inhalation of oxygen and exhalation of carbon dioxide.