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Perform the Indicated Kruskall-Wallis Test α\alpha α = 005
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question 70

Essay

Perform the indicated Kruskall-Wallis test. Be sure to do the following: Identify the claim mathematically and state the
null and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail
to reject the null hypothesis and interpret the decision in the context of the original claim.
-Four different types of fertilizers are used on raspberry plants. The number of raspberries on each randomly
selected plant is given below. Use the Kruskal-Wallis test to test the claim that there is no difference in the
distributions of the number of raspberries for the four different types of fertilizer. Use α\alpha α = 0.05.
8  Fertilizer 1  Fertilizer 2  Fertilizer 3  Fertilizer 4 989681168987610867108589967\begin{array} { c c c c } \hline \text { Fertilizer 1 } & \text { Fertilizer 2 } & \text { Fertilizer 3 } & \text { Fertilizer 4 } \\\hline 9 & 8 & 9 & 6 \\8 & 11 & 6 & 8 \\9 & 8 & 7 & 6 \\10 & 8 & 6 & 7 \\10 & 8 & 5 & 8 \\9 & 9 & 6 & 7 \\\hline\end{array} 6
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Definitions:

Pervasive Developmental

Refers to a group of disorders characterized by delays in the development of socialization and communication skills, including autism.

Childhood Disintegrative

A rare condition characterized by late onset (usually after at least two years of normal development) of developmental delays in language, social function, and motor skills.

Repetitive Manner

Performing actions or behaviors over and over again in a consistent and unvarying way.

Self-Stimulatory Behaviors

Repetitive actions or movements, often seen in individuals with developmental disorders, that are used for self-soothing or sensory stimulation.

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