Answered: Quality control (QC) inspection. A…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS

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Quality control (QC) inspection. A factory owns three production linemachines. For a QC inspection, at least 100 products and at most 200 productswill be selected from each of the three machines. For all three machines to passthe QC inspection, the factory needs a total of 420 products to get a “Pass”result. If 100 products from one of the three machines have already passed theQC inspection, the number of products that passed the QC inspection by thefactory can be approximated by a normal distribution with μ = 318 and σ =25.88 products. What are the chances that the factory will pass the QCinspection?

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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