Answered: 2. A company supplying coffee machines…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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2. A company supplying coffee machines has one machine located at a certain point of sale. It is known that the amount of coffee dispensed by this machine is normally distributed with a population variance of 0.5 units of coffee per cup. The machine is observed for one week, and a sample of 50 cups of coffee is collected, from which an average amount of 150 units of coffee per cup is measured. Indicate the correct calculation to obtain a confidence interval of 95 % for the average amount of coffee supplied by the machine. Use the formula: Confidence Interval: =X +- Z (

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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