Q1: Adolescent obesity is a serious health risk affecting more than 5 million young people in the United States alone. Laparoscopic adjustable gastric banding has the potential to provide a safe and effective treatment. Fifty adolescents between 14 and 18 years old with a body mass index higher than 35 were recruited from the Melbourne, Australia, community for the study. Twenty-five were randomly selected to undergo gastric banding, and the remaining 25 were assigned to a supervised lifestyle intervention program involving diet, exercise, and behavior modification. All subjects were followed for two years. b. Without assuming the two groups having equal variances, give a 95% confidence interval for the mean weight loss difference between the gastric banding and intervention group. c. Test if gastric banding leads to greater weight loss than the lifestyle intervention program, give H0, Ha, test statistic, p-value, conclusion and 95% CI for the mean weight loss difference. d. Now assuming the two groups having equal variances, use the pooled two sample t procedures to redo the questions in (b) and (c).
Q1: Adolescent obesity is a serious health risk affecting more than 5 million young people in the United States alone. Laparoscopic adjustable gastric banding has the potential to provide a safe and effective treatment. Fifty adolescents between 14 and 18 years old with a body mass index higher than 35 were recruited from the Melbourne, Australia, community for the study. Twenty-five were randomly selected to undergo gastric banding, and the remaining 25 were assigned to a supervised lifestyle intervention program involving diet, exercise, and behavior modification. All subjects were followed for two years.
b. Without assuming the two groups having equal variances, give a 95% confidence interval for the mean weight loss difference between the gastric banding and intervention group.
c. Test if gastric banding leads to greater weight loss than the lifestyle intervention program, give H0, Ha, test statistic, p-value, conclusion and 95% CI for the mean weight loss difference.
d. Now assuming the two groups having equal variances, use the pooled two sample t procedures to redo the questions in (b) and (c).
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