Use the Wilcoxon Signed-Ranks Test to Test the Claim That

question 108

Essay

Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a
population with a median equal to zero. Eleven runners are timed at the 100-meter dash and are timed again
one month later after following a new training program. The times (in seconds) are shown in the table. Use
Wilcoxon's signed-ranks test and a significance level of 0.05 to test the claim that the training has no effect on
the times. $$\begin{array} { | l l l l l l l l l l l l } \hline \text { Before } & 12.1 & 12.4 & 11.7 & 11.5 & 11.0 & 11.8 & 12.3 & 10.8 & 12.6 & 12.7 & 10.7 \\\hline \text { After } & 11.9 & 12.4 & 11.8 & 11.4 & 11.2 & 11.5 & 12.0 & 10.9 & 12.0 & 12.2 & 11.1 \\\hline\end{array}$$

---

Definitions:

License

A revocable right to use another’s property temporarily.

Real Property

Land and anything permanently attached to it, such as buildings or trees.

Mineral Rights

Refers to the ownership rights related to the natural resources located below the surface of the land, such as oil, gas, and minerals.

Airspace

The space above the surface of the earth where aircraft can travel, subject to aviation laws and regulations.