Answered: Case 1: Cozine Corporation The Cozine…

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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Case 1: Cozine Corporation The Cozine Corporation runs the landfill operation outside Little Rock, Arkansas. Each day, each of the company’s trucks makes several trips from the city to the landfill. On each entry, the truck is weighed. The data file Cozine contains a sample of 200 truck weights.. Required Tasks: (A) Construct a frequency histogram using eight classes for the garbage truck weights. (B) Determine the mean and standard deviation for the garbage truck weights. Assume that these sample values are representative of the population of all Cozine garbage trucks, and that the weights are normally distributed. (C) Determine the probability that a truck will arrive at the landfill weighing in excess of 46,000 pounds. (D) Compare the probability in part a to the proportion of trucks in the sample that weighed more than 46,000 pounds. What does this imply to you? (E) Suppose the managers are concerned that trucks are returning to the landfill before they are fully loaded. If they have set a minimum weight of 38,000 pounds before the truck returns to the landfill, what is the probability that a truck will fail to meet the minimum standard?

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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