3. Researchers are interested in the effectiveness of methadone in patients with chronic pain syndromes. The researchers used a scale (0-100, higher numbers indicate higher pain) for maximum pain intensity over the course of the day. Each subject took a 20mg dose of methadone for 5 days, and then took a placebo for 5 days. The following table gives the mean maximum pain intensity scores for the 5 days on methadone and the 5 days on placebo. Use the sign test to determine if these data provide sufficient evidence at the 0.05 level of significance, to indicate, in general, that pain intensity is LOWER on days when methadone was taken? Subject Methadone Placebo 1 29.8 57.2 2 73.0 69.8 3 98.6 98.2 4 58.8 62.4 5 60.6 67.2 6 57.2 70.6 7 57.2 67.8 8 89.2 95.6 9 97.0 98.4 10 49.8 63.2 11 37.0 63.6