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

question 37

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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} What alternative hypothesis should be tested in order to determine if the diet is successful at helping customers lose and keep weight off after one year?


Definitions:

Punishment

An unpleasant consequence given to reduce the occurrence of a particular behavior.

Stimulus Response Bond

The connection formed between a specific stimulus and a specific response through conditioning.

Matching Law

A principle in behavioral psychology stating that the proportion of responses directed toward an option matches the proportion of reinforcements obtained from that option.

Contend

To strive in opposition or against difficulties; to compete or argue.

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