Answered: The fill amount in 1-liter soft drink…

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

The fill amount in 1-liter soft drink bottles is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. If bottles contain less than 96% of the listed net content (0.96 liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 1.06 liters may cause excess spillage upon opening.

b. What proportion of bottles contain between 0.96 and 1.06 liters?

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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