A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 13 subjects had a mean wake time of 100.0 min. After treatment, the 13 subjects had a mean wake time of 94.1 min and a standard deviation of 23.9 min. Assume that the 13 sample values appear to be from a normally distributed population and construct a 95% 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 100.0 min before the treatment? Does the drug appear to be effective? Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. O min

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### Clinical Trial Analysis: Insomnia Drug Effectiveness

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 13 subjects had a mean wake time of 100.0 minutes. After treatment, the 13 subjects had a mean wake time of 94.1 minutes with a standard deviation of 23.9 minutes. Assume that the 13 sample values appear to be from a normally distributed population and construct a 95% 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 100.0 minutes before the treatment? Does the drug appear to be effective?

**Confidence Interval Construction**

Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment.

\[
 \text{min} < \mu < \text{min}
\]

(Round to one decimal place as needed.)

In this study, the provided information points to a decrease in the mean wake time from 100.0 minutes to 94.1 minutes after the treatment. By constructing a 95% confidence interval, we can determine whether this observed change is statistically significant and assess the effectiveness of the drug. 

Note: Use the formula for confidence interval calculation, which incorporates the sample mean, sample standard deviation, sample size, and the appropriate z-value or t-value for a 95% confidence level.
Transcribed Image Text:### Clinical Trial Analysis: Insomnia Drug Effectiveness A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 13 subjects had a mean wake time of 100.0 minutes. After treatment, the 13 subjects had a mean wake time of 94.1 minutes with a standard deviation of 23.9 minutes. Assume that the 13 sample values appear to be from a normally distributed population and construct a 95% 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 100.0 minutes before the treatment? Does the drug appear to be effective? **Confidence Interval Construction** Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. \[ \text{min} < \mu < \text{min} \] (Round to one decimal place as needed.) In this study, the provided information points to a decrease in the mean wake time from 100.0 minutes to 94.1 minutes after the treatment. By constructing a 95% confidence interval, we can determine whether this observed change is statistically significant and assess the effectiveness of the drug. Note: Use the formula for confidence interval calculation, which incorporates the sample mean, sample standard deviation, sample size, and the appropriate z-value or t-value for a 95% confidence level.
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