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?

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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