Use the Wilcoxon Signed -Ranks Test to Test the Claim

question 85

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. $$\begin{array} { l l l l l l l l l l l l } \text { Before } & 12.1 & 12.4 & 11.7 & 11.5 & 11.0 & 11.8 & 12.3 & 10.8 & 12.6 & 12.7 & 10.7 \\\hline \text { After } & 11.9 & 12.4 & 11.8 & 11.4 & 11.2 & 11.5 & 12.0 & 10.9 & 12.0 & 12.2 & 11.1\end{array}$$

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Definitions:

Cannon-Bard Theory

The theory that an emotion-arousing stimulus simultaneously triggers (1) physiological responses and (2) the subjective experience of emotion.

Physiological Arousal

A state of physical alertness and activation that is often a response to a stimulus or emotional state.

William James

A pioneering American psychologist and philosopher known for his contributions to pragmatism and functionalism and as the father of American psychology.

Physiological Arousal

Physical states of alertness or excitement, often associated with increased heart rate, respiration, and energy, in response to stimuli.