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

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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:  Customer  Initial  One Year 118517521921933125115414814651651706220175726517081771749302266101121161115414812230256\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 α=0.05\alpha = 0.05 .
A) T14T _ { - } \leq 14
B) T10T _ { - } \leq 10
C) T7T _ { - } \leq 7
D) T17T _ { - } \leq 17


Definitions:

Retrieval

The act of retrieving information that has been saved in memory.

Retrieval Cues

Stimuli or prompts that aid in the recall of memories, helping to access information stored in long-term memory.

Effective Retrieval

The successful recall or recovery of information from memory when it is needed.

Memory Consolidation

The process by which short-term memories are converted into long-term memories, stabilizing and organizing them for long-term storage.

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