A clinical trial was conducted to test the effectiveness of a drug for treating
ID: 3055418 • Letter: A
Question
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 25 subjects had a mean wake time of 105.0 min. After treatment, the 25 subjects had a mean wake time of 95.1 min and a standard deviation of 41.5 min. Assume that the 25 sample values appear to be from a normally distributed population and construct a 99% 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 99% confidence interval estimate of the mean wake time for a population with the treatment. min min Round to one decimal place as needed.) Enter your answer in the edit fields and then click Check Answer part Clear All Check AnswerExplanation / Answer
Solution : Given that n = 25,mean x = 95.1,standard deviatin s = 41.5
df = n - 1
= 25 - 1
= 24
t = 2.797 (from the t-table)
=> 99% confidence interval estimate of the mean wake time for a population with the treatment
= x +/- t*s/sqrt(n)
= 95.1 +/- 2.797*41.5/sqrt(25)
= 71.9 , 118.3
=> 71.9min < ? < 118.3min
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