Use the 5% Significance Level to Test the Hypotheses $H _ { 0 } :$

question 4

Essay

Use the 5% significance level to test the hypotheses. $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The location of population A is to the left of the location of population B,
given that the data below are drawn from a matched pairs experiment. $\begin{array} { | c | c | c | c | c | c | c | c | c | } \hline \text { Matched Pair } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { A } & 8 & 10 & 11 & 7 & 6 & 7 & 13 & 10 \\\hline \text { B } & 6 & 9 & 12 & 10 & 12 & 10 & 5 & 8 \\\hline\end{array}$

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Definitions:

Skinner's Theory

A psychological theory developed by B.F. Skinner that emphasizes the role of reinforcement and punishment in shaping behavior through operant conditioning.

Radical Behaviorism

A theory in psychology that views behavior as the main subject of psychology and emphasizes the influence of the environment on observable behavior.

Graduate School

An advanced program of study focused on a particular academic discipline or profession, typically following the completion of an undergraduate degree.

Skinner's Theory

A psychological theory developed by B.F. Skinner that emphasizes the importance of reinforcement and punishment in shaping behavior through operant conditioning.