Answered: The amount of coffee dispensed by 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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The amount of coffee dispensed by a vending machine is assumed to be normally distributed. A vendor claims that the mean amount of coffee dispensed by the machine is 6 ounces per cup. The office manager doubted this claim. He randomly selected thirty-six cups of coffee from this machine and recorded the amount of coffee dispensed in each. The sample mean was 5.8 ounces with a standard deviation of 0.8 ounces. Do the data provide sufficient evidence to indicate that the mean amount of coffee dispensed is less than 6 ounces per cup? Test the hypothesis at α=0.05.

Formulate the Alternative hypothesis.

Ho: μ = 6 ounces

Ha: μ = 6 ounces

Ha: μ > 6 ounces

Ha: μ < 6 ounces

Ho: μ < 6 ounces

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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