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:

Linear Relationship

A type of relationship between two variables where changes in one variable are directly proportional to changes in another variable.

Population Correlation Coefficient

A measure of the strength and direction of the linear relationship between two variables in a population.

Correlation

A statistical measure that expresses the extent to which two variables change together, indicating the strength and direction of their relationship.

Probability Distribution

A statistical description enumerating all likely values and their corresponding probabilities for a random variable within a set interval.