Perform the Indicated Kruskall-Wallis Test $$\alpha = 0.05 \text {. }$$

question 27

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.
-A researcher wishes to test the claim that there is a difference in the distribution of ages of elementary school,
high school, and community college teachers. Teachers are randomly selected from each group. Their ages are
recorded below. Can you conclude that the distributions of teachersʹ ages at these different levels of education
are different? Use $$\alpha = 0.05 \text {. }$$ $$\begin{array} { c | c | c } \begin{array} { l } \text { Elementary School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { High School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { Community College } \\\text { Teachers }\end{array} \\\hline 28 & 41 & 44 \\33 & 46 & 50 \\32 & 43 & 41 \\57 & 52 & 66 \\42 & 47 & 50 \\30 & 36 & 40\end{array}$$

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Definitions:

Depreciation

The methodical distribution of the expense of a physical asset throughout its lifespan, indicating the decrease in its value as time passes.

Asset

An economic resource owned or controlled by an individual or organization that is expected to produce future benefits.

Provide Services

The act of performing tasks or duties for customers or clients in exchange for compensation.

Operating Expenses

Operating expenses are the costs associated with running a company's day-to-day activities, excluding the cost of goods sold.