Answered: a cereal box filling machine is…

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 cereal box filling machine is designed to release an amount of 16 ounces of break into each box and the machines manufacture wants to know of any departure from this setting. the engineers at the factory randomly sample 150 boxes of cereal and a sample mean of 15.75 ounces. if we know from previous research that the population is normally distributed with a standard deviation of 1.46 ounces is there evidence that the mean amount of cereal in each box is different from 16 ounces at .05 significance? state the hypothesis list and check the conditions calculate the test statistic find the p value and make a conclusion in a complete sentence related to the scenario

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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