A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 25 subjects had a mean wake time of 102.0 min. After treatment, the 25 subjects had a mean wake time of 75.7 min and a standard deviation of 21.1 min. Assume that the 25 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? Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment. O min
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 25 subjects had a mean wake time of 102.0 min. After treatment, the 25 subjects had a mean wake time of 75.7 min and a standard deviation of 21.1 min. Assume that the 25 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? Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment. O min
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![**Clinical Trial Analysis: Insomnia Drug Effectiveness**
A clinical trial was conducted to evaluate the effectiveness of a drug for treating insomnia in older subjects.
- **Before Treatment:** 25 subjects had a mean wake time of 102.0 minutes.
- **After Treatment:** The same 25 subjects had a mean wake time of 75.7 minutes, with a standard deviation of 21.1 minutes.
Assuming the 25 sample values are from a normally distributed population, a 99% confidence interval estimate of the mean wake time for a population with drug treatment needs to be constructed.
**Objective:** Determine if the result suggests a significant reduction in the mean wake time, implying the drug's effectiveness.
**Task:** Construct the 99% confidence interval for the mean wake time for a population with the treatment.
\[ \text{min} < \mu < \text{min} \]
*Note: Round to one decimal place as needed.*
This analysis will help conclude whether the drug significantly reduces wake time compared to the baseline (pre-treatment wake time of 102.0 minutes).
**Conclusion Criteria:**
- Assess if the interval suggests a reduction below the baseline mean wake time.
- Determine if the drug appears effective based on this statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa951095b-8fe2-4ec9-81e0-5c7669f4ee38%2F89fec932-a4af-481a-b358-6a2e0b1d6f91%2Fg7bnx7u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Clinical Trial Analysis: Insomnia Drug Effectiveness**
A clinical trial was conducted to evaluate the effectiveness of a drug for treating insomnia in older subjects.
- **Before Treatment:** 25 subjects had a mean wake time of 102.0 minutes.
- **After Treatment:** The same 25 subjects had a mean wake time of 75.7 minutes, with a standard deviation of 21.1 minutes.
Assuming the 25 sample values are from a normally distributed population, a 99% confidence interval estimate of the mean wake time for a population with drug treatment needs to be constructed.
**Objective:** Determine if the result suggests a significant reduction in the mean wake time, implying the drug's effectiveness.
**Task:** Construct the 99% confidence interval for the mean wake time for a population with the treatment.
\[ \text{min} < \mu < \text{min} \]
*Note: Round to one decimal place as needed.*
This analysis will help conclude whether the drug significantly reduces wake time compared to the baseline (pre-treatment wake time of 102.0 minutes).
**Conclusion Criteria:**
- Assess if the interval suggests a reduction below the baseline mean wake time.
- Determine if the drug appears effective based on this statistical analysis.
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