20. Insomnia Treatment A clinical trial was conducted to test the effectiveness of the drug zopi- clone for treating insomnia in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from "Cognitive Behavioral Ther- apy vs Zopiclone for Treatment of Chronic Primary Insomnia in Older Adults," by Sivertsen et al., Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopi- clone, subjects have a mean wake time of less than 102.8 min. Does zopiclone appear to be effective?

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Chapter11: Data Analysis And Probability
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20. Insomnia Treatment A clinical trial was conducted to test the effectiveness of the drug zopi-
clone for treating insomnia in older subjects. Before treatment with zopiclone, 16 subjects had a
mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time
of 98.9 min and a standard deviation of 42.3 min (based on data from "Cognitive Behavioral Ther-
apy vs Zopiclone for Treatment of Chronic Primary Insomnia in Older Adults," by Sivertsen et al.,
Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values
appear to be from a normally distributed population, and test the claim that after treatment with zopi-
clone, subjects have a mean wake time of less than 102.8 min. Does zopiclone appear to be effective?
Transcribed Image Text:20. Insomnia Treatment A clinical trial was conducted to test the effectiveness of the drug zopi- clone for treating insomnia in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from "Cognitive Behavioral Ther- apy vs Zopiclone for Treatment of Chronic Primary Insomnia in Older Adults," by Sivertsen et al., Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopi- clone, subjects have a mean wake time of less than 102.8 min. Does zopiclone appear to be effective?
Testing Hypotheses. In Exercises 13–24, assume that a simple random sample has been
selected and test the given claim. Unless specified by your instructor, use either the P-value
method or the critical value method for testing hypotheses. Identify the null and alternative
hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the
final conclusion that addresses the original claim.
Transcribed Image Text:Testing Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.
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