Answered: The filling line was repaired in the…

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 filling line was repaired in the brewery. After the repair, the beer was bottled in 40,000 bottles, which are stored in a warehouse. Subsequently, measurements were performed on 80 filled bottles - the average volume in the filled bottle was 600 ml. We know a population standard deviation of 0.8 from the past. We assume that this is a sample from the normal distribution. Define the hypotheses and at the level of significance α = 0.05, verify whether the repair was successful, ie whether the line fills beer with a volume of 500 ml. (In other words, we want to verify that the average found differs significantly from the required value of 500 ml.) Briefly comment on your conclusions.

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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