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 for treating insomnia in older subjects. Before treatment,

subjects had a mean wake time of

101.0

min. After treatment, the

subjects had a mean wake time of

96.8

min and a standard deviation of

21.1

min. Assume that the

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

90%

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

101.0

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

Construct the

90%

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

____min<μ<____min

(Round to one decimal place as needed.)

What does the result suggest about the mean wake time of

101.0

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

The confidence interval

does not include

includes

the mean wake time of

101.0min before the treatment, so the means before and after the treatment

are different.

could be the same.

This result suggests that the drug treatment

has

does not have

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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