You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study,each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 5% significance. Low Calorie Low Fat Low Carb Control 5.3 2.2 3 0.1 4 3 3.1 3 4.3 1.8 2.5 -1.3 5.7 0.7 3.5 2.3 8.3 3.1 2.4 -0.6 Test Statistic:
You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study.
At the start of the study,each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 5% significance.
Low Calorie | Low Fat | Low Carb | Control |
---|---|---|---|
5.3 | 2.2 | 3 | 0.1 |
4 | 3 | 3.1 | 3 |
4.3 | 1.8 | 2.5 | -1.3 |
5.7 | 0.7 | 3.5 | 2.3 |
8.3 | 3.1 | 2.4 | -0.6 |
Test Statistic:
P-Value:
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