Question

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 H0: ?D = 0 versus Ha: ?D > 0 at significance level 0.01. (Use ?D = ?U ? ?A.)
Fabric
1   2   3   4   5   6   7   8
U   
36.2   
55.0   
51.4   
38.7   
43.2   
48.8   
25.6   
49.5   
A   
28.5   
20.0   
46.0   
34.0   
36.5   
52.5   
26.5   
46.5   
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t   =      
P-value   =      

State the conclusion in the problem context.
Reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
Reject H0. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
Fail to reject H0. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
Fail to reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.

Answer 1

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