Answered: he proportion of shafts with a diameter…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Question

Many manufacturing problems involve the matching of machine parts, such as shafts that fit into a valve hole. A particular design requires a shaft with a diameter of 22.000mm, but shafts with diameters between 21.990mm and 22.010mm are acceptable. Suppose that the manufacturing process yields shafts with diameters normally distributed, with a mean of 22.002mm and a standard deviation of 0.005mm. For this process, what is

The proportion of shafts with a diameter between 21.99mm and 22.00mm?

The probability that a shaft is acceptable?

The diameter that will be exceeded by only 2% of the shafts?

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.

Expert Solution