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 36.3 55.0 51.2 38.6 43.2 48.8 25.6 49.6
A 28.5 20.0 46.0 34.0 36.5 52.5 26.5 46.5
State the rejection region(s). (If the critical region is one-sided, enter NONE for the unused region. Round your answers to three decimal places.)

t ? _______

t ? ________

Compute the test statistic value. (Round your answer to three decimal places.)

t = _____

State the conclusion in the problem context.

a.Reject H0. The data suggests a significant mean difference in breaking load for the two fabric load conditions.Fail to
b.reject H0. The data suggests a significant mean difference in breaking load for the two fabric load conditions.
c.Reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
d.Fail to reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions

Answer 1

From the given data we need to use the following statistics rules

H0 x25

H1 x>25

t=4.355

Reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions,option C is correct.