A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 28 subjects had a mean wake time of 90.6min and a standard deviation of 40.2 minutes. Assume that the 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? 5. A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 28 subjectshad a mean wake time of 90.6 min and a standard deviation of 40.2 min. Assume that the 28 sample values appear to be from a normally distributedpopulation 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

Sample size Sample mean Sample standard deviation

Answered: A clinical trial was conducted to test…

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 used for treating insomnia in older subjects. After treatment with the drug, 28 subjects had a mean wake time of 90.6min and a standard deviation of 40.2 minutes. Assume that the 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?

5. A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 28 subjects
had a mean wake time of 90.6 min and a standard deviation of 40.2 min. Assume that the 28 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<[
(Round to two decimal places as needed.)
Does the result indicate whether the treatment is effective?
min
O A. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 90.6 minutes.
O B. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 0 minutes.
O C. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 90.6 minutes.
O D. Yes, the confidence interval indicates that the treatment is not effective because the interval contains 0 minutes.
OE. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 0 minutes.
OF. No, the confidence interval does not indicate whether the treatment is effective.
G. Yes, the confidence interval indicates that the treatment is effective because the interval contains 0 minutes.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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