Answered: A clinical trial was conducted to test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug,

subjects had a mean wake time of

94.2

min and a standard deviation of

40.6

min. Assume that the

sample values appear to be from a normally distributed population and construct a

98%

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.

nothing

min<σ<nothing

min

(Round to two decimal places as needed.)

Does the result indicate whether the treatment is effective?

Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain

94.2

minutes.

No, the confidence interval does not indicate whether the treatment is effective.

Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 0 minutes.

Yes, the confidence interval indicates that the treatment is not effective because the interval contains 0 minutes.

Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 0 minutes.

Yes, the confidence interval indicates that the treatment is effective because the interval contains 0 minutes.

Yes, the confidence interval indicates that the treatment is effective because the interval does not contain

94.2

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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