Answered: A manufacturer's process produces…

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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Question

A manufacturer's process produces basketballs that have a population mean diameter of 9.47 inches and a population standard deviation of 0.035 inches (when the basketballs are inflated to NCAA men's regulation air pressure). For the men's game, NCAA regulations require that a basketball's diameter must be 9.39 to 9.55 inches for men (when inflated to NCAA men's regulation pressure). Suppose the manufacturer tests every basketball it produces for conformance with NCAA men's regulation diameter, and knows its produced diameters have a Normal distribution. Calculate the probability that the manufacturer manufacturer will have to reject any basketball it produces (so that it will only deliver regulation basketballs for use in the NCAA men's game).

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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