Use the Wilcoxon Rank-Sum Test to Test the Claim That $~~ ~ ~ \text { School A }$

question 8

Essay

Use the Wilcoxon rank-sum test to test the claim that the two independent samples come from
populations with equal medians. SAT scores for students selected randomly from two different
schools are shown below. Use a significance level of 0.05 to test the claim that the scores for
the two schools are from populations with the same median. $~~ ~ ~ \text { School A }$ $\quad\quad \mid$ $\quad$ $\text { School B }$
$\begin{array}{lll|lll}\hline 550 & 480 & 670 & 460 & 580 & 620 \\400 & 700 & 520 & 380 & 680 & 570 \\540 & 740 & 560 & 660 & 500 & 480 \\360 & 560 & 650 & 600 & 550 &\end{array}$

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Definitions:

Personality Theory

The study of how individual personality traits are formed, and how they influence behavior and actions.

Group Membership

The state of being a part of a collection of individuals who share a common identity, goal, or interest.

Personality Formation

The process by which an individual's personality develops over time, influenced by both genetics and environment.

Culture

The shared values, beliefs, norms, and practices that characterize a group of people or an organization.