Answered: The fill volume of an automated filling…

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

3. The fill volume of an automated filling machine used for filling cans of carbonated beverage is
normally distributed. Suppose that the mean of the filling operation can be adjusted easily, but the
standard deviation remains at 0.4 fluid ounce.
a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?
b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if the
standard deviation can be reduced to 0.09 fluid ounce?

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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