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:
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?
◦ The distribution of initial weight is identical to the distribution of one-year weight.
◦ The distribution of initial weight is shifted to the right of the distribution of one-year weight.
◦ The distribution of initial weight is shifted to the right or to the left of the distribution of one-year weight.
◦ The distribution of initial weight is shifted to the left of the distribution of one-year weight.
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