Answered: A clinical researcher knows from…

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 researcher knows from experience that average body temperature for a
particular group they are studying is approximately normally distributed with μ =
98.2 degrees Fahrenheit and population standard deviation σ = 0.73 deg
Fahrenheit. Use R to simulate 30 values from this distribution (call it “sample1”)
and then simulate 1,000 values from this distribution (call it “sample2”) assuming
normality. Plot histograms and derive the summary statistics for sample1 and
sample2. Can you explain your findings? Why is random sampling important in
statistics?

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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