Answered: Kindly help to explain. I want to be…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Kindly help to explain. I want to be able to follow through and understand it myself. Thank you.

A part that is manufactured in your shop has an inside diameter that varies according to the Normal distribution with mean 2.670 inches and standard deviation .005 inches. The requirement for this item is 2.675 + or - 0.010 (plus or minus). Parts that are under minimum must be reworked and those over maximum are scrap. What percent of the parts are scrapped? Reworked? If you have an order for 100 of these parts and the due date will not allow for the additional time required to rework parts how many must be started to meet the customer requirement of 100 parts. If you were to change the process so the mean is equal to the nominal of the requirement, that is centered between the engineering requirement, how many parts would need to be started?

a)When centered what is the proportion within specification? answer to 4 decimal places.

b) How many standard deviations are such that 99% fall between plus and minus Z? Answer to 2 decimal places using the closest Z-value from the normal table.

c)What does the standard deviation need to be? round to 4 decimal places

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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