One operation of a mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw, and the resulting parts must be cut to be within 0.005 inch of the length specified by the automobile company. The measurement reported from a sample of 100 steel parts (stored in “Assignment 2 – Steel.xlsx” ) is the difference, in inches, between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first observation, -0.002, represents a steel part that is 0.002 inch shorter than the specified length. -0.0042 0.0057 0.0031 -0.0085 -0.0087 0.0083 0.0035 -0.0070 0.0040 0.0080 0.0094 -0.0036 -0.0067 0.0052 0.0100 -0.0010 0.0077 0.0010 -0.0060 -0.0025 -0.0022 -0.0097 0.0047 0.0060 0.0006 -0.0044 0.0015 0.0089 -0.0039 -0.0064 -0.0046 -0.0096 0.0021 -0.0071 -0.0020 0.0009 -0.0028 -0.0060 0.0001 -0.0057 -0.0062 0.0054 0.0061 0.0090 0.0004 0.0051 -0.0002 0.0073 Construct a 95% confidence interval estimate for the population mean difference between the actual length of the steel part and the specified length of the steel part. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)? Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain.

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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One operation of a mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw, and the resulting parts must be cut to be within 0.005 inch of the length specified by the automobile company. The measurement reported from a sample of 100 steel parts (stored in “Assignment 2 – Steel.xlsx” ) is the difference, in inches, between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first observation, -0.002, represents a steel part that is 0.002 inch shorter than the specified length.
-0.0042

0.0057

0.0031

-0.0085

-0.0087

0.0083

0.0035

-0.0070

0.0040

0.0080

0.0094

-0.0036

-0.0067

0.0052

0.0100

-0.0010

0.0077

0.0010

-0.0060

-0.0025

-0.0022

-0.0097

0.0047

0.0060

0.0006

-0.0044

0.0015

0.0089

-0.0039

-0.0064

-0.0046

-0.0096

0.0021

-0.0071

-0.0020

0.0009

-0.0028

-0.0060

0.0001

-0.0057

-0.0062

0.0054

0.0061

0.0090

0.0004

0.0051

-0.0002

0.0073
1. Construct a 95% confidence interval estimate for the population mean difference between the actual length of the steel part and the specified length of the steel part.
2. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)?
3. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain.

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