Researchers studying obesity wanted to compare the effectiveness of dieting with exercise to dieting without exercise. 73 patients were randomly divided into two groups. Group 1, composed of 37 patients, was put on a dieting program with exercise. Group 2, composed of 36 patients, dieted only. The results for weight loss, after 2 months are summarized in the following table. Diet with exercise group X1 = 7.6 kg S1 = 1.5876 kg Diet only group X2 = 7.8 kg s2 = 2.3587 kg %3D a) At the 0.05 significance level, determine whether there is a difference between the two groups. b) Find the 99% confidence interval of the difference in means.

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Researchers studying obesity wanted to compare the effectiveness of dieting with exercise to dieting without
exercise. 73 patients were randomly divided into two groups. Group 1, composed of 37 patients, was put on a
dieting program with exercise. Group 2, composed of 36 patients, dieted only. The results for weight loss, after
2 months are summarized in the following table.
Diet with exercise group
Diet only group
X = 7.6 kg
s1 = 1.5876 kg
X2 = 7.8 kg
sz = 2.3587 kg
a) At the 0.05 significance level, determine whether there is a difference between the two groups.
b) Find the 99% confidence interval of the difference in means.
Transcribed Image Text:Researchers studying obesity wanted to compare the effectiveness of dieting with exercise to dieting without exercise. 73 patients were randomly divided into two groups. Group 1, composed of 37 patients, was put on a dieting program with exercise. Group 2, composed of 36 patients, dieted only. The results for weight loss, after 2 months are summarized in the following table. Diet with exercise group Diet only group X = 7.6 kg s1 = 1.5876 kg X2 = 7.8 kg sz = 2.3587 kg a) At the 0.05 significance level, determine whether there is a difference between the two groups. b) Find the 99% confidence interval of the difference in means.
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