Question

Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Test Ho: 4 = 0 versus Ha: u > 0 at significance level 0.01. Fabric 1 2 3 4 5 6 7 8 U 36.4 55.0 51.3 38.8 43.2 48.8 25.6 49.8 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. Fail to reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. 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. 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.

Answer 1

ANSWER

GIVEN THAT

The statisitc software output for the problem is :

paired T hypothesis test:

$\mu_0=\mu _1-\mu _2$ : Mean of the difference between U and A

$H_0:\mu _1=0$

$H_A:\mu _0>0$

Hypothesis test results :

Difference	Mean	Std.Err.	DF	T-Stat	P-value
U-A	7.275	4.1897728	7	1.736371	0.063

t=1.74

P-value=0.0630