A researcher wants to study how daily protein supplementation in the elderly population will affect baseline liver fat. The study budget will allow the enrollment of 62 patients. Half will be randomized to a placebo group and half to the protein supplement treatment group, and the trial will be carried out over one month. It is desired to see whether the mean change in the percentage of liver fat from baseline to the end of the study differs between the two groups in the study. The researcher needs to know what power can be obtained under the sample size restrictions to identify a change in the mean percent liver fat of 10. Based on results observed in past similar studies, a common standard deviation of 12 will be used for each treatment group in the power analysis. Assume that the significance level is 0.05.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A researcher wants to study how daily protein supplementation in the elderly population will affect baseline liver fat. The study budget will allow the enrollment of 62 patients. Half will be randomized to a placebo group and half to the protein supplement treatment group, and the trial will be carried out over one month. It is desired to see whether the mean change in the percentage of liver fat from baseline to the end of the study differs between the two groups in the study. The researcher needs to know what power can be obtained under the sample size restrictions to identify a change in the mean percent liver fat of 10. Based on results observed in past similar studies, a common standard deviation of 12 will be used for each treatment group in the power analysis. Assume that the significance level is 0.05.

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