A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 27 subjects had a mean wake time of 91.2 min and a standard deviation of 40.5 min. Assume that the 27 sampl appear to be from a normally distributed population and construct a 90% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. min

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
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A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 27 subjects had a mean wake time of 91.2 min and a standard deviation of 40.5 min. Assume that the 27 sample values
appear to be from a normally distributed population and construct a 90% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective?
Find the confidence interval estimate.
min <o< min
(Round to two decimal places as needed.)
Does the result indicate whether the treatment is effective?
A. Yes, the confidence interval indicates that the treatment is effective because the interval contains 0 minutes.
B. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 91.2 minutes.
C. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 91.2 minutes.
D. No, the confidence interval does not indicate whether the treatment is effective.
E. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 0 minutes.
OF. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 0 minutes.
G. Yes, the confidence interval indicates that the treatment is not effective because the interval contains 0 minutes.
Transcribed Image Text:A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 27 subjects had a mean wake time of 91.2 min and a standard deviation of 40.5 min. Assume that the 27 sample values appear to be from a normally distributed population and construct a 90% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. min <o< min (Round to two decimal places as needed.) Does the result indicate whether the treatment is effective? A. Yes, the confidence interval indicates that the treatment is effective because the interval contains 0 minutes. B. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 91.2 minutes. C. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 91.2 minutes. D. No, the confidence interval does not indicate whether the treatment is effective. E. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 0 minutes. OF. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 0 minutes. G. Yes, the confidence interval indicates that the treatment is not effective because the interval contains 0 minutes.
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