Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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.A 99% confidence interval for the mean difference (A – B) in the time it takes to experience relief is –8.37 minutes to 0.732 minutes. Based on the confidence interval, is it reasonable to claim that treatment A provides faster relief than treatment B?
Answer
A
Yes, 0 is contained in the 99% confidence interval.
B
Yes, negative numbers are contained in the 99% confidence interval.
C
No, the 99% confidence interval does not consist entirely of positive numbers.
D
No, the 99% confidence interval does not consist entirely of negative numbers.