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University of Cincinnati STAT 1031 Biostatistics HW8

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20 BME 3060: Introduction to Biostatistics Homework #8 Confidence Intervals: One-sample problem A number of pharmaceutical companies specialize in drugs, which help lose weight. A particular drug ... ephedra was under focus. The drug was prescribed for a random sample of 11 over-weight white males all with the same weight to begin with. (The investigators were trying to keep the background of subjects as similar as possible.) The drug was taken for a specified length of time. At the end of the trial period, weight losses in pounds were recorded. The following are the data. 18, 0, 17, 6, 16, 16, 7, 8, 16, 13, 11 We assume that the sample is drawn from a well-defined population, i.e., all white males with the same weight. Assume that weight loss following the regimen of the drug under focus is normally distributed. Let µ be the population mean and σ its standard deviation. 1. Calculate the sample mean and standard deviation. 2 points Code: mean(weight) sd(weight) mean: 11.63636 lb sd: 5.749308 lb 2. Obtain a 90% confidence interval for the population mean. (t.test) 2 points Code: t.test(weight, conf.level = .9) 90 percent confidence interval: 8.494496 14.778232 3. Present a box plot of the data. Comment on the feasibility of the normality assumption. 1 + 1 points Code: boxplot(weight, xlab= "White Males", ylab= "Weight (lb)", main= "Weight Loss Of Males", col= "pink") [Show More]

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