The Following Data Was Collected as Part of a Study $\varepsilon$

question 46

Multiple Choice

The following data was collected as part of a study examining whether there is a differenc between the number of hours men and women watch television. The values represent the of hours a subject watched television on a designated Monday night. Lower values rank $\varepsilon$ higher ones.
$\begin{array}{l|llllllllllll}\text { Men } & 2.0 & 1.5 & 3.0 & 2.5 & 2.0 & 1.0 & 0.0 & 2.0 & 1.5 & 2.5 & 2.0 & 2.0 \\\hline \text { Women } & 2.0 & 2.5 & 1.0 & 1.0 & 1.5 & 2.5 & 2.0 & 1.0 & 2.0 & 1.5 & 1.0 & 0.0\end{array}$

Calculate $\mu _ { R } , \sigma _ { R }$ and the $z$ test value for the Wilcoxon rank sum test.

• A) \(\mu _ { R } = 150 , \sigma _ { R } = 5 , z = 4\)
• B) \(\mu _ { R } = 150 , \sigma _ { R } = 17.32 , z = 1.15\)
• C) \(\mu _ { R } = 12.25 , \sigma _ { R } = 12.25 , z = 9.61\)
• D) \(\mu _ { R } = 12.25 , \sigma _ { R } = 150 , z = 0.79\)

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Definitions:

Empirical Evidence

Information acquired by observation or experimentation that is used to confirm the validity of a hypothesis or theory.

Logical

Pertaining to reasoning or the application of strict principles of validity in reasoning, often used in the context of logical deduction or argumentation.

Unobserved

Not seen or noticed, often referring to variables or factors that have not been measured or accounted for in a study or experiment.

Foundation

The basis or groundwork of an idea, structure, or theory from which further growth, development, or understanding can occur.