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, and a dotplot of the differences is given. A 4-column table with 10 rows. Column 1 is labeled volunteer with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Treatment A with entries 10, 13, 13, 9, 13, 12, 14, 10, 8, 7. Column 3 is labeled Treatment B with entries 19, 18, 19, 15, 20, 16, 16, 16, 13, 17. Column 4 is labeled difference (A minus B) with entries negative 9, negative 5, negative 6, negative 6, negative 7, negative 4, negative 2, negative 6, negative 5, negative 10. A dotplot. A number line labeled Difference (A minus B) in time to experience relief (minutes) goes from negative 10 to negative 2. Negative 10, 1; negative 9, 1; negative 7, 1; negative 6, 3; negative 5, 2; negative 4, 1; negative 2, 1. The researchers would like to construct a 99% confidence interval for the mean difference (A – B) in the time it took to experience relief. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Normal/large sample condition is not met. Yes, the conditions for inference are met.
