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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 Answer

Explanation / 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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