Answered: A medical researcher wants to…

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 medical researcher wants to investigate the amount of time it takes for patients’
headache pain to be relieved after taking a new prescription painkiller. She plans to use
statistical methods to estimate the mean of the population of relief times. She believes
that the population is normally distributed with population standard deviation σ = 12
minutes. How large a sample should she take to estimate the mean time to within 2.5
minutes with 95% confidence?A medical researcher wants to investigate the amount of time it takes for patients’
headache pain to be relieved after taking a new prescription painkiller. She plans to use
statistical methods to estimate the mean of the population of relief times. She believes
that the population is normally distributed with population standard deviation σ = 12
minutes. How large a sample should she take to estimate the mean time to within 2.5
minutes with 95% confidence?

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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