MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens
are tested using both procedures, and the results are shown in the following tabulation.
Specimen
1
2
234
3
4
1.5
1.3
1.7
2.0
1.8
2.1
1.4
1.7
1.3
1.6
(a) Is a paired t-test appropriate for testing whether the means from the two tests are the same? Explain.
(b) Is there sufficient evidence to conclude that tests differ in the mean impurity level, using a = 0.05?
(c) Is there evidence to support the claim that test 1 generates a mean difference of 0.1 units lower than
test 2? Use a = 0.01.
Test 1
1.2
1.3
1.5
1.4
5
6
7
8
Test 2
1.4
1.7
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Transcribed Image Text:Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using both procedures, and the results are shown in the following tabulation. Specimen 1 2 234 3 4 1.5 1.3 1.7 2.0 1.8 2.1 1.4 1.7 1.3 1.6 (a) Is a paired t-test appropriate for testing whether the means from the two tests are the same? Explain. (b) Is there sufficient evidence to conclude that tests differ in the mean impurity level, using a = 0.05? (c) Is there evidence to support the claim that test 1 generates a mean difference of 0.1 units lower than test 2? Use a = 0.01. Test 1 1.2 1.3 1.5 1.4 5 6 7 8 Test 2 1.4 1.7
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