A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment with the drug, 20 subjects had a mean wake time of 106.9 min. After treatment the 20 subjects had a mean wake time of 69.6 minutes and a standard deviation of 42 minutes. Assume that the samples are from normally distributed population and are randomly selected. At the 0.05 significance level test the claim that after treatment with the drug subjects have a mean wake time of less than 106.9 minutes. Does it appear that the drug is effective?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects.
Before treatment with the drug, 20 subjects had a mean wake time of 106.9 min. After treatment the 20
subjects had a mean wake time of 69.6 minutes and a standard deviation of 42 minutes. Assume that the
samples are from normally distributed population and are randomly selected. At the 0.05 significance level
test the claim that after treatment with the drug subjects have a mean wake time of less than 106.9
minutes. Does it appear that the drug is effective?
Transcribed Image Text:A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment with the drug, 20 subjects had a mean wake time of 106.9 min. After treatment the 20 subjects had a mean wake time of 69.6 minutes and a standard deviation of 42 minutes. Assume that the samples are from normally distributed population and are randomly selected. At the 0.05 significance level test the claim that after treatment with the drug subjects have a mean wake time of less than 106.9 minutes. Does it appear that the drug is effective?
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