Answered: Soda Bottle Content A machine fills…

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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Soda Bottle Content A machine fills 12-ounce bottles with soda. For the machine to function properly, the standard deviation of the population must be less than or equal to 0.03 ounces. A random sample of 10 bottles is selected, and the number of ounces of soda in each bottle is given. At α=0.05, can we reject the claim that the machine is functioning properly? Use the P-value method. Assume the variable is approximately normally distributed.

12, 12.03, 12.05, 11.98, 12.02, 11.99, 12.10, 12.07, 11.97, 12.01

(b)Compute the test value. Round your intermediate calculations to three decimal places, if necessary. Round your final answer to at least three decimal places.

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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