Answered: A part that is manufactured in your…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Kindly help solve steps by steps. I want to understand the details involved. 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 . 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? (this part was solved in class)

a) 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?

Step 1: When the process is centered what is the Z value for the maximum specification limit? answer to 2 decimal places.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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