A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 19 subjects had a mean wake time of 104.0 min. After treatment, the 19 subjects had a mean wake time of 78.9 min and a standard deviation of 23.1 min. Assume that the 19 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. min

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### Clinical Trial on Insomnia Drug Effectiveness

A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. Prior to the treatment, the 19 subjects involved had a mean wake time of 104.0 minutes. Post-treatment, these subjects exhibited a mean wake time of 78.9 minutes, with a standard deviation (SD) of 23.1 minutes.

Given that the sample values of the 19 subjects appear to be from a normally distributed population, construct a 99% confidence interval estimate for the mean wake time for a population subjected to this drug treatment. Interpret the result to determine whether the drug significantly reduces the mean wake time compared to the initial mean wake time of 104.0 minutes.

### Task

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

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

*(Round to one decimal place as needed.)*
Transcribed Image Text:### Clinical Trial on Insomnia Drug Effectiveness A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. Prior to the treatment, the 19 subjects involved had a mean wake time of 104.0 minutes. Post-treatment, these subjects exhibited a mean wake time of 78.9 minutes, with a standard deviation (SD) of 23.1 minutes. Given that the sample values of the 19 subjects appear to be from a normally distributed population, construct a 99% confidence interval estimate for the mean wake time for a population subjected to this drug treatment. Interpret the result to determine whether the drug significantly reduces the mean wake time compared to the initial mean wake time of 104.0 minutes. ### Task **Construct the 99% confidence interval estimate of the mean wake time for the population with the treatment:** \[ \text{min} < \mu < \text{min} \] *(Round to one decimal place as needed.)*
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