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

question 1

Short Answer

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

Definitions:

360-Degree Feedback

A multi-rater feedback system where employees receive confidential, anonymous feedback from the people who work around them, including peers, supervisors, and direct reports.

Multiple Raters

Involves using several individuals to assess or evaluate employee performance, to increase reliability and objectivity of the evaluation.

Supervisor

An individual within an organization who oversees and directs the work of a group of employees, ensuring that tasks are completed efficiently and effectively, and that team goals are met.

Behaviourally Anchored Rating Scales

An evaluation tool that rates employee performance based on specific behaviors that are anchored to numerical scales, aiming to reduce subjectivity.