Manov Steel Inc. has a rolling mill that produces sheet steel with a nominal thickness of0.125 inch. Suppose that the specification limits are given by LSL = 0.120 andUSL = 0.130 inch. According to historical data, the actual thickness of a random sheetproduced by the mill is normally distributed with mean and standard deviation of u = 0.125and o = 0.0025.(a) What are the lower and upper natural tolerance limits (LNTL and UNTL) for individualsheets of steel?(b) What are the lower and upper control limits (LSL and USL) if we use a control chart thatplots the average thickness of samples of size n = 4?(c) What will be the percentage nonconforming, given the above values for (LNTL, UNTL)and (LSL, USL)? What is the process capability index C? Do you consider this processcapable of meeting its performance specifications?(d) Suppose that the process mean suddenly shifts from 0.125 to 0.1275. What happens tothe process capability index C and the percentage nonconforming?

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Manov Steel Inc. has a rolling mill that produces sheet steel with a nominal thickness of 0.125 inch. Suppose that the specification limits are given by LSL = 0.120 and USL %3D = 0.130 inch. According to historical data, the actual thickness of a random sheet produced by the mill is normally distributed with mean and standard deviation of = 0.125 and o = 0.0025.

Manov Steel Inc. has a rolling mill that produces sheet steel with a nominal thickness of 0.125 inch. Suppose that the specification limits are given by LSL = 0.120 and USL %3D = 0.130 inch. According to historical data, the actual thickness of a random sheet produced by the mill is normally distributed with mean and standard deviation of = 0.125 and o = 0.0025.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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