A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 21 subjects had a mean wake time of 104.0 min. After treatment, the 21 subjects had a mean wake time of 78.3 min and a standard deviation of 20.3 min. Assume that the 21 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 104.0 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. O min < u

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**Clinical Trial on Drug Effectiveness for Insomnia in Older Subjects**

A clinical trial was conducted to assess the effectiveness of a drug intended for treating insomnia in older subjects. Below are the results and analysis:

**Study Details:**
- **Sample Size:** 21 subjects
- **Mean Wake Time Before Treatment:** 104.0 minutes
- **Mean Wake Time After Treatment:** 78.3 minutes
- **Standard Deviation:** 20.3 minutes

**Objective:**
Construct a 99% confidence interval estimate of the mean wake time for a population with the drug treatment. 

**Instruction:**
Calculate the 99% confidence interval for the mean wake time and round to one decimal place. 

**Analysis Question:**
What do these results suggest about the mean wake time of 104.0 minutes before the treatment? Does the drug appear to be effective?

**Conclusion:**
- The calculation of the confidence interval will help determine if the mean wake time after treatment significantly differs from the mean of 104.0 minutes before the treatment.
- A reduction in the mean wake time suggests the drug treatment is effective.

**Interactive Section:**
Fill in the confidence interval and interpret the result:
- [ ] min < μ < [ ] min 

**Question:**
What does the confidence interval suggest about the mean wake time of 104.0 minutes before the treatment?

- The confidence interval [ ] the mean wake time of 104.0 minutes before the treatment, indicating whether the means before and after the treatment differ.
- This result suggests that the drug treatment [].

*Note:* Interactive elements allow users to input and evaluate their own answers based on the trial data.
Transcribed Image Text:**Clinical Trial on Drug Effectiveness for Insomnia in Older Subjects** A clinical trial was conducted to assess the effectiveness of a drug intended for treating insomnia in older subjects. Below are the results and analysis: **Study Details:** - **Sample Size:** 21 subjects - **Mean Wake Time Before Treatment:** 104.0 minutes - **Mean Wake Time After Treatment:** 78.3 minutes - **Standard Deviation:** 20.3 minutes **Objective:** Construct a 99% confidence interval estimate of the mean wake time for a population with the drug treatment. **Instruction:** Calculate the 99% confidence interval for the mean wake time and round to one decimal place. **Analysis Question:** What do these results suggest about the mean wake time of 104.0 minutes before the treatment? Does the drug appear to be effective? **Conclusion:** - The calculation of the confidence interval will help determine if the mean wake time after treatment significantly differs from the mean of 104.0 minutes before the treatment. - A reduction in the mean wake time suggests the drug treatment is effective. **Interactive Section:** Fill in the confidence interval and interpret the result: - [ ] min < μ < [ ] min **Question:** What does the confidence interval suggest about the mean wake time of 104.0 minutes before the treatment? - The confidence interval [ ] the mean wake time of 104.0 minutes before the treatment, indicating whether the means before and after the treatment differ. - This result suggests that the drug treatment []. *Note:* Interactive elements allow users to input and evaluate their own answers based on the trial data.
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