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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment, 13 subjects had a mean wake time of 104.0 min. After​ treatment, the 13 subjects had a mean wake time of 82.1

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment, 13 subjects had a mean wake time of 104.0 min. After​ treatment, the 13 subjects had a mean wake time of 82.1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment,

13

subjects had a mean wake time of

104.0

min. After​ treatment, the

13

subjects had a mean wake time of

82.1

min and a standard deviation of

23.6

min. Assume that the

13

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

104.0

min before the​ treatment? Does the drug appear to be​ effective?

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