A recent study investigated tractor skidding distances along a road in a forest. The skidding distances​...

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A recent study investigated tractor skidding distances along aroad in a forest. The skidding distances​ (in meters) were measuredat 20 randomly selected road sites. The data are given in theaccompanying table. A logger working on the road claims that themean skidding distance is at least 425 meters. Is there sufficientevidence 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 skiddingdistance is at least 425 meters. Choose the correct answerbelow.

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 answerbelow.

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

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

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

Answer & Explanation Solved by verified expert
3.7 Ratings (418 Votes)
from above for hypothesis option D is correctD H0    See Answer
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