A Teacher Uses Two Different CAI Programs to Remediate a Randomly

question 115

Essay

A teacher uses two different CAI programs to remediate a randomly selected group of
students. Results for two independent samples on a standardized test are listed in a table
below. At the 0.05 level of significance, use the Wilcoxon rank-sum test to test the hypothesis
that the sample results are from populations with equal medians. $\begin{array}{|llll|llll|}\hline{\text { Program I }} &&&&{\text { Program II }} \\\hline 60 & 75 & 61 & 63 & 66 & 89 & 68 & 77 \\\hline 86 & 69 & 64 & 70 & 84 & 80 & 81 & 87 \\\hline 72 & 82 & 59 & 78 & 73 & 91 & 93 \\\hline & & & & 94 & 95 & & \\\hline\end{array}$

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Definitions:

Magnesium

A shiny gray solid, this chemical element has symbol Mg and atomic number 12, known for its lightness and strong structural properties, widely used in alloys.

Chloride

A compound formed with chlorine and another element or group, commonly found in table salt (sodium chloride).

Magnesium Sulfate

A chemical compound, a salt with the formula MgSO4, often encountered as the heptahydrate sulfate mineral epsomite (commonly known as Epsom salt).

Sulfur

A nonmetallic chemical element with the symbol S and atomic number 16, known for its yellow crystalline appearance and importance in organic molecules.