A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 16 subjects had a mean wake time of 104.0 min. After treatment, the 16 subjects had a mean wake time of 98.2 min and a standard deviation of 22.8 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 95% 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 104.0 min before the treatment? Does the drug appear to be effective? Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. nothing minless thanmuless than nothing min (Round to one decimal place as needed.)
df = n - 1 = 16 - 1 = 15
t critical value at 0.05 level with 15 df = 2.131
95% confidence interval is
- t * S /
sqrt(n) <
<
+ t * S /
sqrt(n)
98.2 - 2.131 * 22.8 / sqrt(16) < < 98.2 + 2.131 *
22.8 / sqrt(16)
86.1 <= <=
110.3
Since 104 contained in confidence interval , the drug does not appear to be effective,
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