Preliminary Data Analyses Indicates That Use of a Paired Wilcoxon $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$

question 41

Essay

Preliminary data analyses indicates that use of a paired Wilcoxon signed-rank test is reasonable. Perform the hypothesistest by using a paired Wilcoxon signed-rank test. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
-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 following table. $$\begin{array} { l l l l l l l l l l l l l } \text { Before } & 162 & 190 & 188 & 152 & 148 & 127 & 195 & 164 & 175 & 156 & 180 & 136 \\ \hline \text { After } & 157 & 194 & 179 & 149 & 135 & 130 & 183 & 168 & 168 & 148 & 170 & 138 \end{array}$$ At the 5% significance level, do the data provide sufficient evidence to conclude that the exercise program is effective in reducing weight?

Calculate net worth including asset valuation and debt consideration.

Recognize potential retirement income sources and plan for sufficient retirement savings.

Understand Social Security benefits and its role in retirement planning.

Identify the characteristics of employer-sponsored retirement plans.

---

Definitions:

Frame for Reference

A set of criteria or stated values in relation to which measurements or judgments can be made.

Moving

The action or process of changing place or position, often applied to the physical act of relocating from one place to another.

Table

A piece of furniture with a flat top and one or more legs, providing a level surface on which objects can be placed, or in the context of data, a structured arrangement of information organized in rows and columns.

Texture Gradients

Visual cues to depth and distance that involve changes in texture as an object extends into the distance.