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Use the 5% Significance Level to Test the Hypotheses H0:H _ { 0 } :

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Use the 5% significance level to test the hypotheses. H0:H _ { 0 } : The two population locations are the same H1: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.  Matched Pair 12345678 A 810117671310 B 691210121058\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:

Combinations

A mathematical technique to determine the total possible arrangements of a set of items where the order of the items does not matter.

Factorial Designs

A statistical analysis method that allows researchers to study the effects of two or more independent variables on a dependent variable simultaneously.

Single-Factor Designs

Experiments that investigate the effect of one independent variable on one or more dependent variables.

Interaction Effects

The impact on a dependent variable that changes depending on the levels of two or more independent variables.

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