A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 18 subjects had a mean wake time of 103.0 min. After treatment, the 18 subjects had a mean wake time of 74.9 min and a standard deviation of 24.6 min. Assume that the 18 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. $$ \square \min

Question

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 18 subjects had a mean wake time of 103.0 min. After treatment, the 18 subjects had a mean wake time of 74.9 min and a standard deviation of 24.6 min. Assume that the 18 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. $$ \square \min <\mu<\square \mathrm{min} $$ (Round to one decimal place as needed.)

UpStudy AI · Accepted Answer

The $$99\%$$ confidence interval for the mean wake time with the drug is $$58.1 	ext{ min} < \mu < 91.7 	ext{ min}$$. This indicates that the drug is effective in reducing the mean wake time.

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