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

2020

subjects had a mean wake time of

105.0105.0

min. After treatment, the

2020

subjects had a mean wake time of

81.881.8

min and a standard deviation of

23.323.3

min. Assume that the

2020

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

9090%

confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of

105.0105.0

min before the treatment? Does the drug appear to be effective?

Construct the

9090%

confidence interval estimate of the mean wake time for a population with the treatment.

nothing

minless than<muμless than<nothing

min

(Round to one decimal place as needed.)

What does the result suggest about the mean wake time of

105.0105.0

min before the treatment? Does the drug appear to be effective?

The confidence interval

▼

includes

does not include

the mean wake time of

105.0105.0

min before the treatment, so the means before and after the treatment

▼

could be the same.

are different.

This result suggests that the drug treatment

▼

does not have

has

a significant effect.

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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