1. Sample data were collected to evaluate the analgesic effectiveness of a daily dose of oral methadone in 11 patients with chronic neuropathic pain syndromes. The researchers used a visual analogue scale (0-100 mm, higher number indicates higher pain) rating for maximum pain intensity over the course of the day. Each patient took either 20 mg of methadone or a placebo each day for 5 days. Patients did not know which treatment they were taking. The following table gives the mean maximum pain intensity scores for each patient for the 5 days on methadone and the 5 days on placebo. Do these data provide sufficient evidence to indicate that in general the maximum pain intensity is lower on days when methadone is taken? Assume that pain intensity scores are normally distributed and =0.05. Show all of the steps and calculations that you used to arrive at your answer.

Patient	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