Question

A recent study investigated tractor skidding distances along a road in a forest. The skidding distances​ (in meters) were measured at 20 randomly selected road sites. The data are given in the accompanying table. A logger working on the road claims that the mean skidding distance is at least 425 meters. Is there sufficient evidence to refute this​ claim? Use α=0.10.

488	347	460	205	278	420	424	590	447	534
3813	288	182	259	270	392	316	313	143	432

State the hypotheses to test the claim that the mean skidding distance is at least 425 meters. Choose the correct answer below.

A. H0​: μ=425

Ha​:μ ≠ 425

B. H0​: μ ≠ 425

Ha​: μ= 425

C. H0​:μ= 425

Ha​: μ < 425

D. H0​: μ = 425

Ha​: μ > 425

Calculate the value of the test statistic.

t = ________​(Round to two decimal places as​ needed.)

Calculate the​ p-value.

​p-value =_________​(Round to four decimal places as​ needed.)

Make the appropriate conclusion. Choose the correct answer below.

A. Reject H0. There is insufficient evidence at the α=0.10 level of significance to conclude that the true mean skidding distance is less than 425 meters.

B. Do not reject H0.There is sufficient evidence at the α = 0.10 level of significance to conclude that the true mean skidding distance is less than 425 meters.

C.Do not reject H0. There is insufficient evidence at the α = 0.10 level of significance to conclude that the true mean skidding distance is less than 425 meters.

D. Reject H0. There is sufficients evidence at the α=0.10 level of significance to conclude that the true mean skidding distance is less than 425 meters.

Answer 1

from above: for hypothesis: option D is correct

D. H0​: μ = 425

Ha​: μ > 425

value of the test statistic t =0.60

p value=0.2778

C.Do not reject H0. There is insufficient evidence at the α = 0.10 level of significance to conclude that the true mean skidding distance is less than 425 meters.