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: μD = 0 versus Ha: μD > 0 at significance level 0.01. (Use

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: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.