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.