In a Study of the Effectiveness of Physical Exercise in Weight

question 67

Multiple Choice

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. $$\begin{array} { l l l l l l l l l l l l l } \text { Before } & 162 & 190 & 188 & 152 & 148 & 127 & 195 & 164 & 175 & 156 & 180 & 136 \\\hline \text { After } & 157 & 194 & 179 & 149 & 135 & 130 & 183 & 168 & 168 & 148 & 170 & 138\end{array}$$ What would be the signed rank for the column with values of 175 and 168?

• A) 8
• B) 9
• C) 10
• D) 8.5

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Definitions:

Population Mean

The average of a set of numerical values, calculated by summing all the observations and dividing by the total number of observations in the population.

Finite Population

A population set that contains a countable number of elements or observations.

Infinite Population

A population that is so large it is effectively endless, making it impossible to examine every member.

Standard Error

A measure of the variability or spread of a sample statistic from a sample to the true population parameter.