Overweight men are assigned at random to 6 diet and exercise programs: (1) low-carb with low intensity exercise (2) low-carb with high intensity exercise (3) low -carb no exercise (4) vegetarian with low intensity exercise (5) vegetarian with high intensity exercise (6) vegetarian with no exercise. This experiment has three factors; gender, low-carb/vegetarian diet and no/low/high intensity exercise six factors; the six diet and exercise programs being compared two factors; low-carb/vegetarian diet and no/low/high intensity exercise two factors; overweight and type of diet one factor; the type of diet
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The table below shows the number of individuals with optimal, normal BMI and those who are overweight by gender. Please show work. Optimal Normal Overweight Total Male 22 73 55 150 Female 43 132 65 240 Total 65 205 120 390 What proportion of the participants have optimal weight? What proportion of men have optimal weight? What proportion of participants who are overweight are men? Are overweight status and male gender independent?
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We are trying to test whether, a new low fat diet actually helps obese people lose weight. 125 randomly obese people are assigned to group 1 and put on a low-fat diet. Another 100 people are assigned to group 2 and put on a diet of approximately the same amount of food, but not as low in fat. After 4 months, the mean weight loss was 7.31 pounds for group 1 with a standard deviation of 4.67 pounds, and for group 2 the mean weight loss was 7.20 pounds with a standard deviation of 4.04 pounds. At the 1% significant level, is the low fat diet more effective? a) Define the parameters and state null and alternative Hypothesis (3 points) Test statistics (2 points) Critical-value approach (2 points) d) Conclusion (3 points) Construct an appropriate confidence interval for Problem 3 and state the conclusion State confidence level (2 points) Confidence Interval (3 points) Conclusion (5 points):
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