Cotton and Polyester-Cotton Fabrics
39.  Consider the accompanying data on breaking load (kg/25-mm width) for various fabrics in both an unabraded condition  and  an  abraded condition ( The Effect of Wet Abrasive Wear on the Tensile Properties of Cotton and Polyester-Cotton Fabrics, J. Testing Eval., 1993: 84—93).
a.  Use the paired t test, as did the authors of the cited article, to test H0: mD = 0 versus Ha: mD > 0 at signi cance level .01.
Â
Fabric
Â
1Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â 8
Â
Â
|
Â
|
Patient
|
1
|
2
|
3
|
4
|
5
|
|
No drug
|
0.6
|
1.1
|
2.5
|
2.8
|
2.9
|
|
b.  Do  the  assumptions  necessary  for  using  the
paired t test appear to be plausible? Explain.
|
Drug
|
1.97
|
4.20
|
7.47
|
4.1
|
5.87
|
|
c.  Delete  the  observation  on  fabric  2  and  use  the
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Patient
|
6
|
7
|
8
|
9
|
10
|
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paired  t  test  on  the  remaining  observations.
|
No drug
|
3.0
|
3.2
|
4.7
|
5.5
|
6.2
|
|
How does your conclusion compare with that of
|
Drug
|
3.2
|
7.5
|
5
|
4.9
|
6.3
|
Â
|
 |
UÂ Â 36.4Â Â 55.0Â Â Â 51.5Â Â Â 38.7Â Â Â 43.2Â Â Â 48.8Â Â Â 25.6 Â 49.8 AÂ Â Â 28.5Â Â Â 20.0Â Â Â 46.0Â Â Â 34.5Â Â Â 36.5Â Â Â 52.5Â Â Â 26.5 Â 46.5
concentrations using a con dence level of 95%, and interpret the resulting interval.
b.  If a 34th house were to be randomly selected from the population, between what values would you predict the difference in concentrations to lie?
Answers
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Posted 21 Jan 2018 09:01 PM
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