A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 103.0 min. After treatment, the 14 subjects had a mean wake time of 74.8 min and a standard deviation of 24.7 min. Assume that the 14 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 103.0 min before the treatment? Does the drug appear to be effective? Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment. min < u< min (Round to one decimal place as needed.) What does the result suggest about the mean wake time of 103.0 min before the treatment? Does the drug appear to be effective? The confidence interval V the mean wake time of 103.0 min before the treatment, so the means before and after the treatment This result suggests that the drug treatment a significant effect.
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 Confidence Interval:
A. Does not include, or B. Includes
So the means before and after the treatment:
A. Are different, or B. Could be the same
This result suggests that the drug treatment:
A. Does not have, or B. has
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