Answered: Consider a manufacturing process that…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

See similar textbooks

Related questions

Question

Consider a manufacturing process that produces dimensional lumber of 2" by 4" with a specified target width. The length of each produced lumber follows a normal distribution with a mean of 10 feets and a standard deviation of 0.1 centimeters. The manufacturing company has set a quality control standard that requires at least 95% of the produced lumber to fall above the acceptable length threshold. Determine the acceptable length threshold above which 95% of the lumber should fall.

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