In: Statistics and Probability
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 11 subjects had a mean wake time of 92.9 min and a standard deviation of 44.9 min. Assume that the 11 sample values appear to be from a normally distributed population and construct a 90% 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 ?
Solution:- Given that mean = 92.9, sd = 44.9, n = 11, 90%
Confidence interval
df = 11-1 = 10
=> No, the confidence interval does not indicate whether the treatment is effective.