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 100.0 min. After treatment, the 19 subjects had a mean wake time of 72.6 min and a standard deviation of 22.8 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 100.0 min before the treatment? Does the drug appear to be effective?
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 100.0 min. After treatment, the 19 subjects had a mean wake time of 72.6 min and a standard deviation of 22.8 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 100.0 min before the treatment? Does the drug appear to be effective?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Description of the Educational Content:**
A clinical trial was conducted to examine the effectiveness of a drug for treating insomnia in older subjects. The study involved 19 subjects. Before the treatment, these subjects had a mean wake time of 100.0 minutes. After the treatment, the mean wake time was reduced to 72.6 minutes, with a standard deviation of 22.8 minutes.
**Objective:**
To determine the effect of the drug treatment on mean wake time by constructing a 99% confidence interval for the mean wake time of a population with the treatment.
**Instructions:**
1. **Construct the 99% Confidence Interval:**
- Calculate the interval estimate for the mean wake time for the population receiving the treatment.
- Formula: \( \min < \mu < \min \)
- Round the result to one decimal place as needed.
2. **Analysis:**
- If the confidence interval excludes the mean wake time of 100.0 minutes before the treatment, determine if there is a significant effect.
- Consider whether the drug appears to be effective based on this confidence interval.
3. **Answer Boxes:**
- Fill in the confidence interval values and the conclusion on the drug's effectiveness.
- The confidence interval [select option] the mean wake time of 100.0 min before the treatment, implying [select option] effect.
**Conclusion:**
- Analyze and input whether the drug treatment had a significant impact based on the confidence interval findings.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9d7df7e-1211-4d2e-80e0-69c049749f41%2F088a772e-4c30-4ed0-8a0d-69b2d281790d%2Fqr5fjlq.jpeg&w=3840&q=75)
Transcribed Image Text:**Description of the Educational Content:**
A clinical trial was conducted to examine the effectiveness of a drug for treating insomnia in older subjects. The study involved 19 subjects. Before the treatment, these subjects had a mean wake time of 100.0 minutes. After the treatment, the mean wake time was reduced to 72.6 minutes, with a standard deviation of 22.8 minutes.
**Objective:**
To determine the effect of the drug treatment on mean wake time by constructing a 99% confidence interval for the mean wake time of a population with the treatment.
**Instructions:**
1. **Construct the 99% Confidence Interval:**
- Calculate the interval estimate for the mean wake time for the population receiving the treatment.
- Formula: \( \min < \mu < \min \)
- Round the result to one decimal place as needed.
2. **Analysis:**
- If the confidence interval excludes the mean wake time of 100.0 minutes before the treatment, determine if there is a significant effect.
- Consider whether the drug appears to be effective based on this confidence interval.
3. **Answer Boxes:**
- Fill in the confidence interval values and the conclusion on the drug's effectiveness.
- The confidence interval [select option] the mean wake time of 100.0 min before the treatment, implying [select option] effect.
**Conclusion:**
- Analyze and input whether the drug treatment had a significant impact based on the confidence interval findings.
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