Question

A)

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: μ_D = 0 versus H_a: μ_D > 0 at significance level 0.01. (Use μ_D = μ_U − μ_A.)

Fabric
	1	2	3	4	5	6	7	8
U	36.2	55.0	51.5	38.9	43.2	48.8	25.6	49.5
A	28.5	20.0	46.0	34.5	36.0	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	=

B)

A sample of 311 urban adult residents of a particular state revealed 61 who favored increasing the highway speed limit from 55 to 65 mph, whereas a sample of 171 rural residents yielded 70 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents?

Test H₀: p₁ − p₂ = 0 versus H_a: p₁ − p₂ ≠ 0 using α = 0.05, where p₁ refers to the urban population. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z =
P-value =

If the true proportions favoring the increase are actually p₁ = 0.20 (urban) and p₂ = 0.42 (rural), what is the probability that H₀ will be rejected using a level 0.05 test with m = 311, n = 171? (Round your answer to four decimal places.)

P =

Answer 1

I have given my best to solve your problem. Please like the answer if you are satisfied with it. ?