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

question 1

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 realtor wishes to compare the square footage of houses of similar prices in 4 different cities. The data are
listed below. Use the Kruskal-Wallis test to test the claim that there is a difference in the distributions of the
square footages in the 4 different cities. Use $\alpha = 0.05 \text {. }$ $$\begin{array} { c c c c } \hline \text { City 1 } & \text { City } 2 & \text { City 3 } & \text { City 4 } \\\hline 2150 & 1780 & 1530 & 2400 \\1980 & 1540 & 1670 & 2350 \\2000 & 1690 & 1580 & 2600 \\2210 & 1650 & 1600 & 2150 \\1900 & 1700 & 1500 & 2000 \\2050 & & 1750 & 2200 \\& & 1650 & 2350 \\& & & 2250 \\\hline\end{array}$$

Recognize how propositions without explicit quantifiers can be interpreted.

Identify and construct standard form propositions from given terms.

Determine the standard and nonstandard forms of propositions and their implications.

Comprehend the meaning of quantifiers within propositions.

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Definitions:

Sender's Expectations

Sender's expectations refer to the anticipations or assumptions held by the initiator of a communication about how the message will be received and understood by others.

Qualitative Analyses

Non-numerical examination and interpretation of observations, for the purpose of discovering underlying meanings and patterns of relationships.

Documented Interaction

An interaction between individuals or groups that has been recorded or written down for evidence or reference.

Utterances

In conversation analysis, units of speech preceded by silence and followed either by silence or by another person speaking.