Question

ANSWER IS EITHER A OR B
ANSWER IS EITHER B OR D

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: HD0 sus H: HD > 0 at significance level 0.01. (Use Fabric 1 36.3 28.5 2 55.0 20.0 3 51.1 46.0 4 38.7 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 two decimal places and your P-value to three decimal places.) t1.73 P-value063 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 Fail to 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 does not suggest a significant mean difference in breaking load for the two fabric load conditions.

Answer 1

Decision Rule :

If P-Value is less than level of significance then we reject null hypothesis.

Here ,

P-value = 0.063

And level of significance =

α 0.01

Since , 0.063 > 0.01

i.e P-Value >

α 0.01

Hence we cannot reject null hypothesis.

Therefore option D is correct .

Hence we can say that

Failed to reject $H_{0}$ . The data does not suggest a significance mean difference in the breaking road for the two fabric road condition .