Answered: A particular manufacturing design…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

A particular manufacturing design requires a shaft with a diameter of 19.000 mm, but shafts with diameters between 18.987 mm and 19.013 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 19.003 mm and a standard deviation of 0.004 mm.Complete parts (a) through(d) below.

For this process, what is the proportion of shafts with a diameter between

18.987mm and 19.000 mm?

The proportion of shafts with diameter between 18.987
mm and 19.000 mm is enter your response here.

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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