T4 **Clinical Trial on Drug Effectiveness for Insomnia**A clinical trial was conducted to evaluate the effectiveness of a drug designed to treat insomnia in older subjects. Before the treatment, a group of 20 participants exhibited a mean wake time of 105.0 minutes. After receiving the drug treatment, these individuals had a mean wake time of 81.7 minutes, with a standard deviation of 22.5 minutes. It is assumed that the 20 sample values derive from a normally distributed population.The task at hand is to construct a 90% confidence interval estimate of the mean wake time for a population receiving this drug treatment. This interval will help determine if the drug treatment has a statistically significant effect compared to the original mean wake time of 105.0 minutes.**Construction of Confidence Interval:**The objective is to construct the 90% confidence interval for the mean wake time (\(\mu\)) for the population under treatment. The formulation should follow this format:\[ \text{min} < \mu < \text{max} \](Round to one decimal place as needed.)**Analysis and Result Interpretation:**The key question here is whether the confidence interval for the mean wake time after treatment encompasses the mean wake time of 105.0 minutes observed before treatment. If the interval does not include 105.0 minutes, it could suggest that the drug treatment has a significant effect.- **Confidence Interval Conclusion:** The confidence interval [Insert interval] the mean wake time of 105.0 minutes before the treatment. - **Effectiveness Conclusion:** This result suggests that the drug treatment [Insert conclusion: does/does not] have an effect.This study is an example of how statistical analyses like confidence intervals can be applied to assess the efficacy of medical treatments. It emphasizes the importance of understanding whether observed changes are statistically meaningful or could be attributed to randomness.

GivenMean(x)=81.7standard deviation(s)=22.5sample size(n)=20α=1-0.90=0.10α2=0.05Degrees of…

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 20 subjects had a mean wake time of 105.0 min. After treatment, the 20 subjects had a mean wake time of 81.7 min and a standard deviation of 22.5 min. Assume that the 20 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. Omin < u

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 20 subjects had a mean wake time of 105.0 min. After treatment, the 20 subjects had a mean wake time of 81.7 min and a standard deviation of 22.5 min. Assume that the 20 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. Omin < u

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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