Researchers studied the effects of adding an exercise program to
dieting in the achievement of weight loss. A sample of
45 men ages 18-20 (Group 1) were observed for
weight loss using a diet only, and another independent sample of
52 men ages 18-20 (Group 2) were put on
the same diet, but with an added exercise program. The mean weight
loss for Group 1 was 7.1 pounds with a standard deviation of 5.2
pounds, and the mean weight loss for Group 2 was 11.5 pounds, with
a standard deviation of 5.9 pounds.
Calculate the upper bound of a 99%
confidence interval for the difference in mean weight loss
for the two groups to two decimal places. Assume the
population standard deviations are not equal (Case 2).
Take all calculations toward the answer to three (3) decimal
places. Use the following website to help you calculate the
degrees of freedom, v:
http://web.utk.edu/~cwiek/TwoSampleDoF.
We can be______ % confident that the true difference in mean_______ between_______ and is between and_____ . Therefore, we______ (can/cannot) conclude that the mean weight loss for the two groups differs.
Let denote mean weight loss for the two groups respectively.
We can be 99% confident that the true difference in mean is between -7.36 and -1.44. Therefore, we can conclude that the mean weight loss for the two groups differs.
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