An herbal medicine is tested on 16 randomly selected patients with sleep disorders. Each patient's amount of sleep (in hours) is measured for one night with the herbal medicine and for one night without the herbal medicine. Researchers claim that the patients' condition will improve using the herbal medicine. At the 1% significance level, does the data support the researchers' claim? Patient Without With 1 1.8 3.0 2 2.0 3.6 3 3.4 4.0 4 3.5 4.4 5 3.7 4.5 6 3.8 5.2 7 3.9 5.5 8 3.9 5.7 9 4.0 6.2 10 4.9 6.3 11 5.1 6.6 12 5.2 7.8 13 5.0 7.2 14 4.5 6.5 15 4.2 5.6 16 4.7 5.9