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The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who were vegans and another sample of such women who were omnivores. Diet Sample Size Sample Mean Sample SD 89 5.10 1.06 vegan Omnivore 97 5.55 1.20 Calculate a 99% CI for the difference between population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use MVegan - Homnivore. Round your answers to three decimal places.) (mmol/l) Interpret the interval. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval. We cannot draw a conclusion from the given information. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval. We are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval.

Answer 1

given, Di=89, X;=5010, 5=1.06 De=97, Xo = 5.55, 52=). 20 99% confidence interval is, (-3.5 (5,-2) Ez* = $? =[5:10-5155) + 2:58 1(1406)2, C1:20)? 897 9. = -0.45 + 0.42276 JC.I = (-0.878, -0.022)

Conclusion:- we are 99% confident that the true average cholesterol level for vegans is less than that of omniovers by an amount within the confidence interval.