A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 102.0 min. After treatment, the 14 subjects had a mean wake time of 97.6 min and a standard deviation of 23.7 min. Assume that the 14 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 102.0 min before the treatment? Does the drug appear to be effective?
confidence level = 0.90
alpha value = 1- confidence level = 1 -0.90 = 0.10
sample size n = 14
degree of freedom = n-1 = 14-1 = 13
t critical = 1.77 (using t table with df(13) and alpha = 0.10)
xbar = 97.6 and s = 23.7
confidence interval =
We can see that the confidence interval includes 102 min mean wake time before the treatment, this suggests that the drug is not much effective because mean wake time before and after drug have no difference
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