Answered: A machine is used to fill soda bottles.…

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 machine is used to fill soda bottles. The amount of soda dispensed into each
bottle varies slightly. Suppose the amount of soda dispensed into the bottles
is normally distributed. If at least 99% of the bottles must have between 585
and 595 milliliters of soda, find the greatest standard deviation, to the nearest
hundredth, that can be allowed.

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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