A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. The study uses 10 volunteers who claim to suffer from migraines. Half of the volunteers are randomly assigned to use treatment A when they experience their first migraine. The other half are assigned to use treatment B. Then, after no treatment for one month, the treatments are reversed. The volunteers each record the amount of time it takes, in minutes, to experience relief from their migraine under each treatment. The data are displayed in the table. Volunteer 1 2 3 4 5 6 7 8 9 10 Treatment A 10 13 13 9 13 12 14 10 8 7 Treatment B 19 18 19 15 20 16 16 16 13 17 Difference (A – B) –9 –5 –6 –6 –7 –4 –2 –6 –5 –10 The conditions for inference are met. What is the correct 99% confidence interval for the mean difference (A – B) in the time it takes to experience relief? Find the t-table here. (–7.881, –4.119) (–8.314, –3.686) (–8.373, –3.627) (–7.431, –4.569)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. The study uses 10 volunteers who claim to suffer from migraines. Half of the volunteers are randomly assigned to use treatment A when they experience their first migraine. The other half are assigned to use treatment B. Then, after no treatment for one month, the treatments are reversed. The volunteers each record the amount of time it takes, in minutes, to experience relief from their migraine under each treatment. The data are displayed in the table. Volunteer 1 2 3 4 5 6 7 8 9 10 Treatment A 10 13 13 9 13 12 14 10 8 7 Treatment B 19 18 19 15 20 16 16 16 13 17 Difference (A – B) –9 –5 –6 –6 –7 –4 –2 –6 –5 –10 The conditions for inference are met. What is the correct 99% confidence interval for the mean difference (A – B) in the time it takes to experience relief? Find the t-table here. (–7.881, –4.119) (–8.314, –3.686) (–8.373, –3.627) (–7.431, –4.569)
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