Question

a clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. before treatment, 25 subjects had a mean wake time of 104.0 min. after treatment, the 25 subjects had a mean wake time of 81.4 min and a standard deviation of 23.9 min. assume that the 25 sample values appear to be from a normally distributed population and construct a 90% 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 104.0 min before the treatment? does the drug appear to be effective? construct the 90% confi e mean wake time for a population with the treatment. 73.2 min < μ < 89.6 m (round to one decimal p includes what does the result su ime of 104.0 min before the treatment? does the drug appear to be effective? does not include the confidence interval the mean wake time of 104.0 min before the treatment, so the means before and after the treatment this result suggests that the drug treatment an effect.

Explanation:

Step1: Analyze the confidence interval

The confidence interval for the mean wake - time after treatment is \(73.2\) min\(<\mu<89.6\) min.

Step2: Compare with the pre - treatment mean

The pre - treatment mean wake - time is \(104.0\) min. Since \(104.0\) min is not within the confidence interval \(73.2\) min\(<\mu<89.6\) min.

Answer:

The confidence interval does not include the mean wake time of \(104.0\) min before the treatment, so the means before and after the treatment are different. This result suggests that the drug treatment has an effect.