Do Popular Diets Really Help Customers in the Long-Run? Many

question 76

Multiple Choice

Do popular diets really help customers in the long-run? Many diets help customers lose weight initially only to have the customer add the weight back on after the first few months on the diet. A
Commercially successful diet company conducted a study of twelve randomly selected customers
And measured their weight after before starting the diet and then again after staying with the diet
For a year. The company hoped that the initial weight loss would be sustained after the first year on
The diet. The data is shown below: $\begin{array}{c|c|c}\text { Customer } & \text { Initial } & \text { One Year } \\\hline 1 & 185 & 175 \\2 & 192 & 193 \\3 & 125 & 115 \\4 & 148 & 146 \\5 & 165 & 170 \\6 & 220 & 175 \\7 & 265 & 170 \\8 & 177 & 174 \\9 & 302 & 266 \\10 & 112 & 116 \\11 & 154 & 148 \\12 & 230 & 256\end{array}$

Find the rejection region for the Wilcoxon Signed Rank Test to test to determine if the distribution of initial weight is shifted to the right of the distribution of one-year weight. Test using $\alpha = 0.05$ .

• A) \(T _ { - } \leq 14\)
• B) \(\mathrm { T } _ { - } \leq 7\)
• C) \(\mathrm { T } _ { - } \leq 10\)
• D) \(T _ { - } \leq 17\)

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Definitions:

Corporate Income Tax

A tax levied on the net income (accounting profit) of corporations.

Product Prices

The amount of money required to purchase a product, influenced by cost of production, supply, demand, and market competition.

Minimum Standard

The lowest level of quality, performance, or subsistence considered acceptable by regulatory bodies or society.

Income Inequality

The unequal distribution of income among individuals or households within a population.