A Researcher Wants to Know If the Time Spent in Prison

question 85

Essay

A researcher wants to know if the time spent in prison for a particular type of crime is the same for men and women. A random sample of men and women were each asked to give the length of sentence received. The data, in years, are listed below. Use the Wilcoxon rank sum procedure to test the claim that there is no difference in the sentence received by each gender. Use α = .05. $$\begin{array}{l}\begin{array} { l | l l l l l l } \text { Men } & 35 & 47 & 41 & 43 & 44 & 51 \\\hline \text { Women } & 34 & 37 & 34 & 39 & 51 & 37\end{array}\\\\\begin{array} { l | l l l l l l } \text { Men } & 39 & 47 & 37 & 44 & 48 & 49 \\\hline \text { Women } & 59 & 33 & 35 & 38 & 42 & 52\end{array}\end{array}$$

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Definitions:

James-Lange Theory

An early theory of emotion that proposes emotions occur as a result of physiological reactions to events.

Schachter Theory

A psychological theory suggesting emotions are determined by physiological arousal and the cognitive interpretation of that arousal.

Physiological Cues

Signals from the body that indicate states like stress or hunger, assisting in the understanding of bodily needs or reactions.

Situational Cues

Environmental or contextual factors that can influence behavior or perceptions in a given situation.