Answered: f a pipe’s diameter exceeds 24 inches,…

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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If a pipe’s diameter exceeds 24 inches, it is useless to a buyer. A buyer receives a shipment of 10 000 pipes, and knows from past experience that the standard deviation of the diameters of the pieces of pipe in such a shipment equals 0.2 inch and that the diameters are normally distributed. The buyer draws a random sample of 100 pipes from the shipment. If the proportion of useless pipes in the entire shipment equals 10%, what is the probability that the mean diameter in the sample is greater than 23.9 inches? Start with finding the population mean.

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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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