A clinical trial is run to compare weight loss programs and participants are ran

Question

A clinical trial is run to compare weight loss programs and participants are randomly assigned to one of the programs and are counseled on the details of the assigned program. Participants follow the assigned program for 8 weeks. The outcome of interest is weight loss, defined as the difference in weight measured at the start of the study (baseline) and weight measured at the end of the study, measured in pounds Three popular weight loss programs are considered. The first is a low caloric diet. The second is a low fat diet and the third is a low carbohydrate diet. For comparison purposes, a fourth group is considered as a control group. Participants in the fourth group are told that they are participating in a study of healthy behaviors with weight loss only one component of interest. The control group is included here to assess the place to effect (i.e., weight loss due to simply participating in the study). A total of twenty patients agree to participate in the study and are randomly assigned to one of the four diet groups. Weights are measured at baseline and patients are counseled on the proper implementation of the assigned diet (with the exception of the control group). After 8 weeks, each patient's weight is again measured and the difference in weights is computed by subtracting the 8 week weight from the baseline weight. Positive differences indicate weight losses and negative differences indicate weight gains. For interpretation purposes, we refer to the differences in weights as weight losses and the observed weight losses are shown below. We will run the ANOVA to determine if there is statistically significant difference in the mean weight loss among the four diets. What is the correct hypothesis for this ANOVA test? a. mu_1 = mu_2 = mu_3 = mu_4 (i.e., mean weight loss in the low calorie group = mean weight loss the low fat groups = mean weight loss in the low carbohydrate group = mean weight loss in the control group) b. Low calorie, low fat, and low carbohydrate diets are more effective than the control group diet c. Low carbohydrate diets are less effective than low fat diets for weight loss d. Low calorie and low carbohydrate diets are more effective than low fat for weight loss What is the mean weight loss in pounds for the "Low Carbohydrate" group? a. 6.6 pounds b. 3.0 pounds c. 3.4 pounds d. 1.2 pounds

Explanation / Answer

23) for the given the given problem the null hypothesis is there is no significant difference between the mean weight loss among the four diets. option a is the correct one

24) the mean weight loss in pounds for the "low carbohydrate group" is 3.4 pounds

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