The purpose of investigation by Morley et al. (A-17) was to evaluate the analgesic effectiveness of a ethadone in patients with chronic neuropathic pain syndromes. The researchers used a 7.4.3 The purpose of an daily dose of oral visual analogue scale (0-100 mm, higher number indicates higher pain) ratings for maximum pain it over the course of the day. Each subject took either 20 mg of methadone or a placebo each day for 5 days. Subiects did not know which treatment they were taking. The following table gives the mean maximum pain intensity scores for the 5 days on methadone and the 5 days on placebeo. Subject Methadone Placebo 29.8 73.0 98.6 58.8 60.6 57.2 57.2 89.2 97.0 49.8 37.0 57.2 69.8 98.2 62.4 67.2 70.6 67.8 95.6 98.4 63.2 63.6 10 a) b) Construct 99% confidence interval for the mean of paired data. (Ha-Hmethadone. ?placebo) Do these data provide sufficient evidence, at the 0.05 level of significance, to indicate that in general the maximum pain intensity is lower on days when methadone is taken?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The purpose of investigation by Morley et al. (A-17) was to evaluate the analgesic effectiveness of a ethadone in patients with chronic neuropathic pain syndromes. The researchers used a 7.4.3 The purpose of an daily dose of oral visual analogue scale (0-100 mm, higher number indicates higher pain) ratings for maximum pain it over the course of the day. Each subject took either 20 mg of methadone or a placebo each day for 5 days. Subiects did not know which treatment they were taking. The following table gives the mean maximum pain intensity scores for the 5 days on methadone and the 5 days on placebeo. Subject Methadone Placebo 29.8 73.0 98.6 58.8 60.6 57.2 57.2 89.2 97.0 49.8 37.0 57.2 69.8 98.2 62.4 67.2 70.6 67.8 95.6 98.4 63.2 63.6 10 a) b) Construct 99% confidence interval for the mean of paired data. (Ha-Hmethadone. ?placebo) Do these data provide sufficient evidence, at the 0.05 level of significance, to indicate that in general the maximum pain intensity is lower on days when methadone is taken?
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