Answered: machine filling 18-gram containers of a…

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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A machine filling 18-gram containers of a hair dye is set so that the average fill is
18.2 grams with a variance of 0.49 grams. Assume that the filling of containers by
this machine is normally distributed.
(a) What percentage of the containers is not likely to meet the producer’s
specification of at least 18 grams per container?
(b) What is the minimum mass of the heaviest 15% of containers?

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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