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: H = 0 versus H₂: Ho> 0 at significance level 0.01. (Use #p=HU - HA.) U A P-value = 1 36.1 28.5 USE SALT 2 55.0 3 51.2 20.0 46.0 Fabric 4 38.9 34.0 5 43.2 36.0 6 48.8 52.5 7 25.6 26.5 8 49.5 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 Reject Ho. The data suggests 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 does not suggest a significant mean difference breaking load for the two fabric load conditions. fabric load conditions. O Fail to reject Ho. The data suggests a significant mean difference in breaking load for the

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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: μ = 0 versus H₂: Mp> 0 at significance level 0.01. (Use μ = μ₁ - HA.)
U
A
1
36.1
28.5
USE SALT
2
55.0
20.0
3
51.2
46.0
Fabric
4
38.9
34.0 36.0
5
43.2
6
48.8
52.5
7
25.6
26.5
8
49.5
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.)
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.
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 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.
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: μ = 0 versus H₂: Mp> 0 at significance level 0.01. (Use μ = μ₁ - HA.) U A 1 36.1 28.5 USE SALT 2 55.0 20.0 3 51.2 46.0 Fabric 4 38.9 34.0 36.0 5 43.2 6 48.8 52.5 7 25.6 26.5 8 49.5 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.) 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. 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 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.
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