Answered: A coin operated coffee machine made by…

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 coin operated coffee machine made by VIG corporation was designed to discharge a mean of 8 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the company may complain. BIG corporation would like to estimate the mean amount of coffee, u, dispensed per cup by this machine. BIG will choose a random sample of copper mounts dispense for this machine and use this sample to estimate u. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.40 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that the estimate is within 0.06 ounces of u? Carrier intermediate computation so at least three decimal places. Write your answer as a whole Number (make sure that it is the minimum hole number that satisfies the requirements).

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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