Exam 4: Estimation: How Large Is the Effect

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Researchers are interested in investigating the effect of a drug that is to be used in the treatment of patients who have glaucoma (an eye disorder associated with high eye pressure). In a volunteer sample of 35 patients with glaucoma in both eyes, one eye of each patient was randomly assigned to this drug, and the other eye was given a placebo. After one week, the eye pressure was measured on each eye. The difference in eye pressure between the two eyes (drug - placebo) was measured for each patient. The sample mean difference in eye pressure was -1.21 mmHg (millimeters of mercury), and the sample standard deviation of the differences was 4.67 mmHg. -A 98% theory-based confidence interval for the population mean difference in eye pressure is (-3.14, 0.72) mmHg.Does this interval give us evidence that the drug reduces eye pressure in glaucoma patients, on average?

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