**Clinical Trial Analysis on Drug Effectiveness for Treating Insomnia in Older Subjects****Overview:**A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. Here's a summary and analysis of the trial results:**Trial Details:**- **Before Treatment:** - Number of subjects: 25 - Mean wake time: 105.0 minutes- **After Treatment:** - Number of subjects: 25 - Mean wake time: 100.3 minutes - Standard deviation: 21.7 minutes**Objective:**To determine if the mean wake time after treatment significantly differs from the mean wake time before treatment by constructing a 90% confidence interval estimate.**Analysis:**- **Assumption:** - The 25 sample values are assumed to be from a normally distributed population.**Steps for Constructing the 90% Confidence Interval:**1. **Identify sample mean ( \(\bar{x} \) ) and standard deviation (s):** - Sample mean after treatment ( \(\bar{x} \) ): 100.3 minutes - Standard deviation (s): 21.7 minutes2. **Calculate the standard error of the mean (SEM):** \[ SEM = \frac{s}{\sqrt{n}} = \frac{21.7}{\sqrt{25}} = \frac{21.7}{5} = 4.34 \]3. **Determine the critical value (Z*) for a 90% confidence interval (from Z-tables):** - For 90% confidence, Z* ≈ 1.6454. **Calculate the margin of error (ME):** \[ ME = Z* \times SEM = 1.645 \times 4.34 = 7.14 \]5. **Construct the confidence interval:** \[ CI = \bar{x} \pm ME = 100.3 \pm 7.14 \] - Lower bound: 100.3 - 7.14 = 93.2 - Upper bound: 100.3 + 7.14 = 107.4**Conclusion:**- **90% Confidence Interval for the Mean Wake Time post-treatment:** \[ 93.2 \text

Name: **Clinical Trial Analysis on Drug Effectiveness for Treating Insomnia
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Description: **Clinical Trial Analysis on Drug Effectiveness for Treating Insomnia in Older Subjects****Overview:**A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. Here's a summary and analysis

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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 105.0 min. After treatment, the 25 subjects had a mean wake timne of 100.3 min and a standard deviation of 21.7 min. Assume that the 25 sample values appear to be from a normally distributed population and construct a 90% 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 105.0 min before the treatment? Does the drug appear to be effective? Construct the 90% confidence interval estimate of the mean wake time for a population with the treatment. 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 105.0 min. After treatment, the 25 subjects had a mean wake timne of 100.3 min and a standard deviation of 21.7 min. Assume that the 25 sample values appear to be from a normally distributed population and construct a 90% 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 105.0 min before the treatment? Does the drug appear to be effective? Construct the 90% confidence interval estimate of the mean wake time for a population with the treatment. min

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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