A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 26 subjects had a mean wake time of 97.3 minutes and a standard deviation of 42.5 minutes. Assume that the 26 sample values appear to be from a normally distributed population.

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?

To create a 98% confidence interval for the standard deviation of wake times, we would use the chi-square distribution, but this interval alone does not indicate the effectiveness of the treatment.

Explanation:

The student asked how to construct a 98% confidence interval estimate for the standard deviation of wake times for a population being treated with an insomnia drug, based on a sample of 26 subjects with a mean wake time of 97.3 minutes and a standard deviation of 42.5 minutes. In order to construct this interval, we would use the chi-square distribution since the sample is drawn from a normally distributed population. It's important to note that while the confidence interval gives us a range within which we can be fairly certain the true standard deviation lies, it doesn't directly inform us about the treatment's effectiveness. To evaluate the effectiveness of the treatment, we would need additional context such as a comparison group or baseline wake times.

Learn more about confidence interval here:

https://brainly.com/question/32278466

#SPJ11