A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 18 subjects had a mean wake time of 104.0 min. After treatment, the 18 subjects had a mean wake time of 75.6 min and a standard deviation of 23.5 min. Assume that the 18 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<μ< min (Round to one decimal place as needed.) What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective? The confidence interval the mean wake time of 104.0 min before the treatment, so the means before and after the treatment an effect. This result suggests that the drug treatment
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 18 subjects had a mean wake time of 104.0 min. After treatment, the 18 subjects had a mean wake time of 75.6 min and a standard deviation of 23.5 min. Assume that the 18 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<μ< min (Round to one decimal place as needed.) What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective? The confidence interval the mean wake time of 104.0 min before the treatment, so the means before and after the treatment an effect. This result suggests that the drug treatment
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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![### Clinical Trial Analysis for Insomnia Drug Effectiveness
A clinical trial was conducted to evaluate the effectiveness of a drug for treating insomnia in older subjects. Before the treatment, 18 subjects had a mean wake time of 104.0 minutes. After the treatment, the mean wake time of these 18 subjects decreased to 75.6 minutes, with a standard deviation of 23.5 minutes. Assuming that the 18 sample values come from a normally distributed population, we will construct a 99% confidence interval estimate of the mean wake time for a population undergoing the drug treatment. The goal is to determine if the drug is effective in reducing wake time as compared to the mean wake time before the treatment.
---
**Construct the 99% Confidence Interval:**
To construct the 99% confidence interval estimate for the mean wake time for a population with the treatment:
```
[ ] min < μ < [ ] min
(Round to one decimal place as needed.)
```
---
**Analyzing the Results:**
What do the results suggest about the mean wake time of 104.0 minutes before the treatment? Does the drug appear to be effective?
1. **Confidence Interval Positioning:**
```
The confidence interval [ ] contains/does not contain the mean wake time of 104.0 min before the treatment, so the means before and after the treatment [ ] do/do not differ significantly.
```
2. **Effectiveness of the Drug Treatment:**
```
This result suggests that the drug treatment has/does not have an effect.
```
---
### Graphs and Diagrams Explanation (if applicable)
Since no actual numbers or graphs are provided in this specific text, one must use statistical tools and software to calculate the exact confidence interval and then fill in the blanks to analyze the results against the pre-treatment mean wake time of 104.0 minutes.
---
By completing this analysis, students and researchers can better understand the impact of the drug on wake time in subjects with insomnia and draw conclusions about its effectiveness.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94a522d8-ef89-4b5b-a14c-d37c6cf2440e%2F024503e7-9766-4907-a4a6-a2b55a5bf749%2Fcw3vffhu_processed.png&w=3840&q=75)
Transcribed Image Text:### Clinical Trial Analysis for Insomnia Drug Effectiveness
A clinical trial was conducted to evaluate the effectiveness of a drug for treating insomnia in older subjects. Before the treatment, 18 subjects had a mean wake time of 104.0 minutes. After the treatment, the mean wake time of these 18 subjects decreased to 75.6 minutes, with a standard deviation of 23.5 minutes. Assuming that the 18 sample values come from a normally distributed population, we will construct a 99% confidence interval estimate of the mean wake time for a population undergoing the drug treatment. The goal is to determine if the drug is effective in reducing wake time as compared to the mean wake time before the treatment.
---
**Construct the 99% Confidence Interval:**
To construct the 99% confidence interval estimate for the mean wake time for a population with the treatment:
```
[ ] min < μ < [ ] min
(Round to one decimal place as needed.)
```
---
**Analyzing the Results:**
What do the results suggest about the mean wake time of 104.0 minutes before the treatment? Does the drug appear to be effective?
1. **Confidence Interval Positioning:**
```
The confidence interval [ ] contains/does not contain the mean wake time of 104.0 min before the treatment, so the means before and after the treatment [ ] do/do not differ significantly.
```
2. **Effectiveness of the Drug Treatment:**
```
This result suggests that the drug treatment has/does not have an effect.
```
---
### Graphs and Diagrams Explanation (if applicable)
Since no actual numbers or graphs are provided in this specific text, one must use statistical tools and software to calculate the exact confidence interval and then fill in the blanks to analyze the results against the pre-treatment mean wake time of 104.0 minutes.
---
By completing this analysis, students and researchers can better understand the impact of the drug on wake time in subjects with insomnia and draw conclusions about its effectiveness.
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