We suspect that Method 1 for detecting impurities in iron ingots yields higherresults than Method 2 for finding such impurities. We want to give a 90%confidence interval for the difference in the average number of impuritiesdetected by the two methods. In order to obtain the confidence interval, wemeasured the impurities of 3 ingots, employing both methods for each ingot. Theresults are presented in the table below.We let l1 denote the population average number of defects for Method 1 and H2denotes the population average number of defects for Method 2. We wish todevelop a confidence interval for µd = H1 – H2Give the margin of error for the 90% confidence interval for ua = µ1 – µ2Ingot 1Ingot 2Ingot 3Method 1163212Method 2122610

The differences are 4, 6, 2. The mean is, d¯=∑dn=4+6+23=123=4 The standard deviation is,…

Answered: Give the margin of error for the 90%…

Math

Statistics

Give the margin of error for the 90% confidence interval for µd = µ1 – H2

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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Estimation

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Question

We suspect that Method 1 for detecting impurities in iron ingots yields higher
results than Method 2 for finding such impurities. We want to give a 90%
confidence interval for the difference in the average number of impurities
detected by the two methods. In order to obtain the confidence interval, we
measured the impurities of 3 ingots, employing both methods for each ingot. The
results are presented in the table below.
We let l1 denote the population average number of defects for Method 1 and H2
denotes the population average number of defects for Method 2. We wish to
develop a confidence interval for µd = H1 – H2
Give the margin of error for the 90% confidence interval for ua = µ1 – µ2
Ingot 1
Ingot 2
Ingot 3
Method 1
16
32
12
Method 2
12
26
10

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