Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test Ho: p = 0 versus H₂:p> 0 at significance level 0.01. (Use #p=HU - HA.) U A 1 36.2 28.5 USE SALT Fabric 4 2 3 55.0 51.5 38.9 20.0 46.0 34.0 5 6 43.2 48.8 36.5 52.5 7 25.6 26.5 8 49.8 46.5 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value= State the conclusion in the problem context. O Reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. O Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. You may need to use the appropriate table in the Appendix of Tables to answer this question.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use
the paired t test to test Ho: "D = 0 versus H₂: μ> 0 at significance level 0.01. (Use p = μU - HA.)
U
A
1
36.2
28.5
USE SALT
Fabric
2
3
5
4
38.9
55.0
51.5
43.2
20.0 46.0 34.0 36.5
6
48.8
52.5
7
25.6
26.5
8
49.8
46.5
Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value =
State the conclusion in the problem context.
O Reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test Ho: "D = 0 versus H₂: μ> 0 at significance level 0.01. (Use p = μU - HA.) U A 1 36.2 28.5 USE SALT Fabric 2 3 5 4 38.9 55.0 51.5 43.2 20.0 46.0 34.0 36.5 6 48.8 52.5 7 25.6 26.5 8 49.8 46.5 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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