A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 104.0 min. After treatment, the 14 subjects had a mean wake time of 82.1 min and a standard deviation of 23.3 min. Assume that the 14 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 104.0 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. min < µ< min (Round to one decimal place as needed.)

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**Clinical Trial Analysis of Drug Effectiveness on Insomnia in Older Subjects**

In a clinical trial designed to test the effectiveness of a drug for treating insomnia in older adults, 14 subjects were observed. Initially, the subjects had a mean wake time of 104.0 minutes. Following the treatment, the mean wake time decreased to 82.1 minutes with a standard deviation of 23.3 minutes. Under the assumption that the 14 sample values are from a normally distributed population, the task is to construct a 95% confidence interval estimate of the mean wake time for a population receiving the drug treatment.

**Key Questions:**

1. What inference can be made about the mean wake time of 104.0 minutes before the treatment?
2. Does the drug treatment appear to be effective?

**Objective:**

Construct the 95% confidence interval estimate for the mean wake time for the population with the treatment. (Round to one decimal place as needed.)

*Confidence Interval Template:*

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

(Fill in the values based on statistical calculations.)
Transcribed Image Text:**Clinical Trial Analysis of Drug Effectiveness on Insomnia in Older Subjects** In a clinical trial designed to test the effectiveness of a drug for treating insomnia in older adults, 14 subjects were observed. Initially, the subjects had a mean wake time of 104.0 minutes. Following the treatment, the mean wake time decreased to 82.1 minutes with a standard deviation of 23.3 minutes. Under the assumption that the 14 sample values are from a normally distributed population, the task is to construct a 95% confidence interval estimate of the mean wake time for a population receiving the drug treatment. **Key Questions:** 1. What inference can be made about the mean wake time of 104.0 minutes before the treatment? 2. Does the drug treatment appear to be effective? **Objective:** Construct the 95% confidence interval estimate for the mean wake time for the population with the treatment. (Round to one decimal place as needed.) *Confidence Interval Template:* \[ \text{min} < \mu < \text{min} \] (Fill in the values based on statistical calculations.)
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