Test Hypotheses Regarding Matched-Pairs Data
-Data Sets a and B $\mu _ { \mathrm { d } } = 0$

question 92

Short Answer

Test Hypotheses Regarding Matched-Pairs Data
-Data sets A and B are dependent. Test the claim that $\mu _ { \mathrm { d } } = 0$ . Use $\alpha = 0.01$ .
$\begin{array}{c|ccccc}\text { A } & 7.1 & 8.1 & 10.0 & 7.0 & 7.1 \\\hline \text { B } & 9.5 & 8.4 & 8.3 & 8.2 & 9.6\end{array}$

Assume that the paired data came from a population that is normally distributed.

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Definitions:

Dependent Variable

In an experimental setup, the variable being tested and measured, which is expected to change due to manipulations of the independent variable.

Independent Variable

A variable in an experiment or study that is manipulated or controlled by the researcher to observe its effect on the dependent variable.

Numerical Techniques

Computational algorithms used to solve mathematical problems, including equations, optimizations, and simulations.

Graphical Techniques

Methods used to analyze and visualize data through graphs and charts for better understanding.