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. Ex21-48ADOBESE.jmp gives the weight losses, in kilograms, for the subjects who completed the study. a. Get the 5-number summaries and mean, s.d for each group. 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. Ex21-48ADOBESE.jmp gives the weight losses, in kilograms, for the subjects who completed the study.
a. Get the 5-number summaries and mean, s.d for each group.
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).
![Treatment
1 banding
banding
2
3
banding
4 banding
5 banding
6 banding
7 banding
8 banding
9 banding
10 banding
11 banding
12 banding
13 banding
14 banding
15 banding
16 banding
17 banding
18 banding
19 banding
20 banding
21 banding
22 banding
23 banding
24 banding
25 lifestyle
26 lifestyle
27 lifestyle
28 lifestyle
29 lifestyle
30 lifestyle
31
lifestyle
32 lifestyle
33 lifestyle
34 lifestyle
35 lifestyle
36 lifestyle
37 lifestyle
38 lifestyle
39 lifestyle
40 lifestyle
41 lifestyle
42 lifestyle
Loss
35.6
81.4
57.6
32.8
31
37.6
36.5
-5.4
27.9
49
64.8
39
43
33.9
29.7
20.2
15.2
41.7
53.4
13.4
24.8
19.4
32.3
2623
-3
20.6
11.6
15.5
-17
1.4
4
-4.6
15.8
34.6
6
-3.1
-4.3
-16.7
-1.8
-12.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9844f5bb-ef3a-4047-b79c-b9b2620732fe%2F7bda5209-38e2-4391-8966-004316d55f17%2Fldqw3ae_processed.png&w=3840&q=75)
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