A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 17 subjects had a mean wake time of 105.0 min. After treatment, the 17 subjects had a mean wake time of 95.6 min and a standard deviation of 23.9 min. Assume that the 17 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 105.0 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. nothing minless thanmuless than nothing min
After the treatment:
Given the sample size and sample mean , sample standard deviation .
The two sided confidence interval for mean based on the sample data is
The 99% confidence interval is
Since 105.0 lies in the confidence interval (), we vare 99% confident that the mean wake time with drug treatment is not different from 105.0. The drug does not appear to be effective.
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