A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 16 subjects had a mean wake time of 92.1 min and a standard deviation of 44.1 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. min
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 16 subjects had a mean wake time of 92.1 min and a standard deviation of 44.1 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. min
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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Transcribed Image Text:### Clinical Trial Analysis for Sleep Drug Effectiveness
A clinical trial was conducted to evaluate the efficacy of a drug used to treat insomnia in older individuals. In the trial, 16 subjects who received the drug treatment exhibited an average wake time of 92.1 minutes, with a standard deviation of 44.1 minutes.
Given that the sample values are from a normally distributed population, calculate a 98% confidence interval estimate for the standard deviation of wake times in the population receiving the drug treatments. Based on this interval, determine whether the treatment is effective.
#### Task:
1. **Find the Confidence Interval Estimate:**
- Input the interval range ensuring to round to two decimal places as needed.
- Interval: ` __________ min < σ < __________ min`
2. **Assess Treatment Effectiveness:**
- Based on the confidence interval calculated, determine if the treatment is effective.
- Select the correct statement:
- A. Yes, the confidence interval indicates treatment effectiveness because it does not include 92.1 minutes.
- B. Yes, the confidence interval indicates treatment effectiveness because it does not include 0 minutes.
- C. No, the confidence interval suggests ineffectiveness as it lacks 0 minutes.
- D. Yes, the confidence interval suggests ineffectiveness because it excludes 0 minutes.
- E. Yes, the interval provides evidence of effectiveness by containing 0 minutes.
- F. Yes, effectiveness is indicated as the interval does not cover 92.1 minutes.
- G. **No, the confidence interval does not indicate whether the treatment is effective.** (This is the marked option)
### Explanation:
The calculation of the confidence interval will allow researchers to evaluate the variability of wake times with the drug. However, option G is selected, indicating that despite having a calculated interval, it does not conclusively demonstrate the treatment's effectiveness.
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