Question

m wered of A group of 78 people enrolled in a weight-loss program that involved adhering to a special diet and to a daily exercise program. After six months, their mean weight loss was 25 pounds, with a sample standard deviation of 9 pounds. A second group of 43 went on the special diet, but did not exercise. After six months, their mean weight loss was 14 pounds, with a sample standard deviation of 7 pounds. a. What function would be used to construct a confidence interval for the difference in weight loss between the exercisers and the non-exercisers? 2Samplint estion b. Construct a 97.5% confidence interval for the difference in weight loss between the exercisers and the non- exercisers. Round your answers to two decimal places. (7.64, 14.36) c. Based on your confidence interval, on average, which program has a higher weight loss?

Answer 1

we have, For the 1st Group 0378 ( sample size) riz 25 ( Sample meau) Sample stendard dwiadtou) Sp = 9 ( For the 2nd Group 12=43 ( sample size) = 14 Sample mean) S2 (sample Standard dwiation) = 7 @ function used is 2 sample t test b the 97.5%. Confidence Interval is given by 2 CIM (ão - D2.)+ t* 5,2 ni nz where this critical t-value From the standard t-table at CS$canned with specified level of confidence.

at (0,+92-2)= (18+43-2) degree of por 97.5 compidoure level Forreedom th 2.27 CI- ,-) 5² + 5,² n₂ = (25-14) + 2.27 or + ² 78 43 2 (11 + 3.35) =(7.65, 14:35) jci Required confidence Interval Based ou the coupidoue integuas The second Prog Programme has higher meight LOSS C Scanned with CamScanner