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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a
standard deviation of 0.03 centimeter.
a. What proportion of rings will have inside diameters exceeding 10.075 centimeters?
b. What proportion of rings will have inside diameters lower than or equal 10.03?
c. What proportion of rings will have inside diameters greater than 10.03 but lower than or equal
10.05?

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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