A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 20 subjects had a mean wake time of 102.0 min. After treatment, the 20 subjects had a mean wake time of 92.5 min and a standard deviation of 24.6 min. Assume that the 20 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 102.0 min before the treatment? Does the drug appear to be effective?

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**Clinical Trial for Insomnia Drug**

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 20 subjects had a mean wake time of 102.0 minutes. After treatment, the 20 subjects had a mean wake time of 92.5 minutes and a standard deviation of 24.6 minutes. Assume that the 20 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. 

**Questions:**

1. What does the result suggest about the mean wake time of 102.0 minutes before the treatment?
2. Does the drug appear to be effective?

**Task:**

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

\[ \underline{\hspace{3em}} \text{ min} < \mu < \underline{\hspace{3em}} \text{ min} \]

*Note: Round to one decimal place as needed.*
Transcribed Image Text:**Clinical Trial for Insomnia Drug** A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 20 subjects had a mean wake time of 102.0 minutes. After treatment, the 20 subjects had a mean wake time of 92.5 minutes and a standard deviation of 24.6 minutes. Assume that the 20 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. **Questions:** 1. What does the result suggest about the mean wake time of 102.0 minutes before the treatment? 2. Does the drug appear to be effective? **Task:** Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment. \[ \underline{\hspace{3em}} \text{ min} < \mu < \underline{\hspace{3em}} \text{ min} \] *Note: Round to one decimal place as needed.*
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