Answered: Two types of instruments for measuring…

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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Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air-pollution experiment. Researchers wish to determine whether the two types of instruments yield measurements having the same variability. The readings were recorded for the two instruments. Assuming the populations of measurements to be approximately normally distributed, test the hypothesis that σ_A^2=σ_B^2 against σ_A^2≠σ_B^2 at a level of significance α=0.05. Does this mean that one instrument is more reliable than the other? Or are they equally accurate?

Sulfur Monoxide
Instrument A
0.86
Instrument B
0.87
0.82
0.74
0.75
0.63
0.61
0.55
0.89
0.76
0.64
0.70
0.81
0.69
0.68
0.57
0.65
0.53

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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