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

question 74

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: $\begin{array}{c|c|c}\text { Customer } & \text { Initial } & \text { One Year } \\\hline 1 & 185 & 175 \\2 & 192 & 193 \\3 & 125 & 115 \\4 & 148 & 146 \\5 & 165 & 170 \\6 & 220 & 175 \\7 & 265 & 170 \\8 & 177 & 174 \\9 & 302 & 266 \\10 & 112 & 116 \\11 & 154 & 148 \\12 & 230 & 256\end{array}$

Calculate the test statistic 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.

• A) \(\mathrm { T } _ { + } = 78\)
• B) \(\mathrm { T } _ { + } = 59\)
• C) \(\mathrm { T } _ { - } = 19\)
• D) \(\mathrm { T } _ { + } = 26\)

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Definitions:

Future Sales

The anticipated revenue from goods or services that will be sold in a future period, often based on contracts, orders, or market analysis.

Null Hypothesis

A default assumption that no difference or effect exists among groups being studied or variables being tested.

Test Statistic

A numerical value calculated from sample data, used in statistical hypothesis testing to determine the likelihood of a hypothesis.