An air filter is rated to catch 90% of airborne particles. If the average particle diameter is 0.5 microns and the population standard deviation is 0.2 microns, what is the largest diameter particle (in microns) that will pass through the filter? Assume that the diameter of particles in the air is normally distributed.

An air filter is rated to catch 90% of airborne particles. If the average particle diameter is 0.5 microns and the population standard deviation is 0.2 microns, what is the largest diameter particle (in microns) that will pass through the filter? Assume that the diameter of particles in the air is normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

An air filter is rated to catch 90% of airborne particles. If the average particle diameter is 0.5
microns and the population standard deviation is 0.2 microns, what is the largest diameter
particle (in microns) that will pass through the filter? Assume that the diameter of particles in
the air is normally distributed.

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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