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: HD = 0 versus Ha: HD Significance level 0.01. (Use HD HU-HA) U A P-value= Fabric 3 4 5 51.3 38.7 43.2 20.0 46.0 34.5 36.5 1 2 36.1 55.0 28.5 USE SALT 6 7 8 48.8 25.6 49.8 52.5 26.5 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.) State the conclusion in the problem context. O Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions.

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: MD = 0 versus Ha: MD > 0 at
significance level 0.01. (Use MD = μ₁ − μA.)
U
A
1
36.1
28.5
USE SALT
2
55.0
20.0
3
51.3
46.0
Fabric
7
5
6
43.2 48.8 25.6
52.5 26.5
4
38.7
34.5 36.5
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 Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
O Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
O Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
O Reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
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: MD = 0 versus Ha: MD > 0 at significance level 0.01. (Use MD = μ₁ − μA.) U A 1 36.1 28.5 USE SALT 2 55.0 20.0 3 51.3 46.0 Fabric 7 5 6 43.2 48.8 25.6 52.5 26.5 4 38.7 34.5 36.5 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 Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. O Reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
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