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:

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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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