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 101.0 min. After treatment, the 13 subjects had a mean wake time of 95.5 min and a standard deviation of 24.5 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 101.0 min before the treatment? Does the drug appear to be effective? HOT Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. min<

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### Clinical Trial on Insomnia Treatment

A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. The study involved the following steps:

- **Before Treatment**: 13 subjects exhibited a mean wake time of 101.0 minutes.
- **After Treatment**: The same 13 subjects showed a reduced mean wake time of 95.5 minutes, with a standard deviation of 24.5 minutes.

### Statistical Analysis

Assuming the sample data is from a normally distributed population, we will construct a 95% confidence interval to estimate the mean wake time for a population with the drug treatment.

**Question**: What is the implication of the estimated mean wake time of 101.0 minutes before treatment in relation to the drug's efficacy? Does the drug appear to reduce the wake time effectively?

### Confidence Interval Construction

The task involves calculating the 95% confidence interval for the mean wake time after drug treatment:

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

(Round to one decimal place as needed.)
Transcribed Image Text:### Clinical Trial on Insomnia Treatment A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. The study involved the following steps: - **Before Treatment**: 13 subjects exhibited a mean wake time of 101.0 minutes. - **After Treatment**: The same 13 subjects showed a reduced mean wake time of 95.5 minutes, with a standard deviation of 24.5 minutes. ### Statistical Analysis Assuming the sample data is from a normally distributed population, we will construct a 95% confidence interval to estimate the mean wake time for a population with the drug treatment. **Question**: What is the implication of the estimated mean wake time of 101.0 minutes before treatment in relation to the drug's efficacy? Does the drug appear to reduce the wake time effectively? ### Confidence Interval Construction The task involves calculating the 95% confidence interval for the mean wake time after drug treatment: \[ \text{min} < \mu < \text{min} \] (Round to one decimal place as needed.)
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