Gastric Banding Use this Information for Problems 6 and 7 We encountered this da
ID: 3221070 • Letter: G
Question
Gastric Banding Use this Information for Problems 6 and 7
We encountered this data set on adolescent obesity earlier in Project A. Fifty adolescents between 14 and 18 years old with a body mass index (BMI) higher than 35 were recruited in Australia for this study. Half of the group was randomly selected to receive the gastric banding treatment and the remaining twenty-five were assigned to a supervised lifestyle program involving diet, exercise, and behavior modification. The data in Excel lists the weight losses in kilograms for the participants who completed the study.
1.At what significance level do the data provide evidence that the average weight loss in the gastric banding group was GREATER than the average weight loss in the lifestyle group?
2. Construct a 99% confidence interval for the difference in average weight loss in the two groups.
Gastric Banding Probs 8 & 9
Banding
Life Style
35.6
6
81.4
2
57.6
-3
32.8
20.6
31
11.6
37.6
15.5
36.5
-17
-5.4
1.4
27.9
4
49
-4.6
64.8
15.8
39
34.6
43
6
33.9
-3.1
29.7
-4.3
20.2
-16.7
15.2
-1.8
41.7
-12.8
53.4
13.4
24.8
19.4
32.3
22
Gastric Banding Use this Information for Problems 6 and 7
We encountered this data set on adolescent obesity earlier in Project A. Fifty adolescents between 14 and 18 years old with a body mass index (BMI) higher than 35 were recruited in Australia for this study. Half of the group was randomly selected to receive the gastric banding treatment and the remaining twenty-five were assigned to a supervised lifestyle program involving diet, exercise, and behavior modification. The data in Excel lists the weight losses in kilograms for the participants who completed the study.
1.At what significance level do the data provide evidence that the average weight loss in the gastric banding group was GREATER than the average weight loss in the lifestyle group?
2. Construct a 99% confidence interval for the difference in average weight loss in the two groups.
Gastric Banding Probs 8 & 9
Banding
Life Style
35.6
6
81.4
2
57.6
-3
32.8
20.6
31
11.6
37.6
15.5
36.5
-17
-5.4
1.4
27.9
4
49
-4.6
64.8
15.8
39
34.6
43
6
33.9
-3.1
29.7
-4.3
20.2
-16.7
15.2
-1.8
41.7
-12.8
53.4
13.4
24.8
19.4
32.3
22
Explanation / Answer
Using Minitab.
Two-Sample T-Test and CI: Banding, Life Style
Two-sample T for Banding vs Life Style
N Mean StDev SE Mean
Banding 24 34.9 18.1 3.7
Life Style 18 3.0 13.2 3.1
Difference = (Banding) - (Life Style)
Estimate for difference: 31.86
99% lower bound for difference: 20.12
T-Test of difference = 0 (vs >): T-Value = 6.59 P-Value = 0.000 DF = 39
We have taken here 0.01 significance level as in second subpart they want 99% Confidence interval.
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