Use a Kruskal-Wallis Test to Test the Claim That the Samples

question 52

Essay

Use a Kruskal-Wallis test to test the claim that the samples come from populations with equal medians. Listed below are grade averages for randomly selected students with three different categories of high-school background. At the 0.05 level of significance, test the claim that the three groups have the same median grade average.
$\begin{array}{l}\text { HIGH SCHOOL RECORD }\\\begin{array} { c c c } \text { Good } & \text { Fair } & \text { Poor } \\\hline 3.21 & 2.87 & 2.01 \\3.65 & 3.05 & 2.31 \\1.00 & 2.00 & 2.98 \\3.12 & 0.00 & 0.50 \\2.75 & 1.98 & 2.36\end{array}\end{array}$

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Definitions:

Systematic Desensitization

A behavioral technique used to help individuals overcome phobias and anxiety disorders through gradual exposure to the feared object or situation paired with relaxation exercises.

Realism

A philosophy that emphasizes the representation of the world in a truthful, objective manner, without idealization.

Continuum

A continuous sequence, range, or whole extent of items, elements, values, or conditions, where no part is fundamentally different from adjacent parts, although the extremes are quite distinct.

Reciprocal Inhibition

A psychological principle where the induction of a response incompatible with anxiety automatically leads to the reduction of anxiety.