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In a Study of the Effectiveness of Physical Exercise in Weight

question 32

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In a study of the effectiveness of physical exercise in weight reduction, 12 subjects followed a program of physical exercise for two months. Their weights (in pounds) before and after this
Program are shown in the table. Use Wilcoxon's signed -ranks test and a significance level of
0.05 to test the claim that the exercise program has no effect on weight.  Before 162190188152148127195164175156180136 After 157194179149135130183168168148170138\begin{array} { l l l l l l l l l l l l l } \text { Before } & 162 & 190 & 188 & 152 & 148 & 127 & 195 & 164 & 175 & 156 & 180 & 136 \\\hline \text { After } & 157 & 194 & 179 & 149 & 135 & 130 & 183 & 168 & 168 & 148 & 170 & 138 \\\hline\end{array}

What would be the signed rank for the column with values of 175 and 168 ?


Definitions:

Epithelial Tissues

Layers of cells that cover the body's surfaces, line cavities, and form glands, playing key roles in protection, secretion, and absorption.

Sweating

The process of secreting fluid from the body's sweat glands, primarily for cooling the body through evaporation.

Panting

Rapid shallow breathing through the mouth, often used as a means of reducing body temperature by animals, including humans.

Muscle Activity

The physical action or movement produced by the contraction of muscles, which can be voluntary or involuntary, playing a critical role in posture, movement, and circulation.

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