Answered: The amount of coffee dispensed by a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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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.

Using the table Find the Critical value.

+1.645

±1.96

-1.645

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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