Answered: A soft drink bottler is interested in…

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 soft drink bottler is interested in the smooth operation of the machine used to fill cans. In particular, you want the standard deviation of the filling process to be less than 0.2 fluid ounces; otherwise, there will be a higher than tolerable percentage of cans that will not be completely full.
Assume that the fill volume is approximately normally distributed. A random sample of 20 cans results in a variance of S ^ 2 = 0.0225 (ounces) ^ 2.

The image shows the creation of a 95% confidence interval

Create an upper 95% confidence interval

2
X0.025“ = 32.8523 para v = 19
X0.975 = 8.9065 para v = 19
(n – 1)S²
(п — 1)52
-
< σ<
2
Xa,?
X1-«/,?
(20 – 1)(0.0225)
(20 – 1)(0.0225)
32.8523
8.9065
0.01301 < o² < 0.047999

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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