A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road These values are given in the accompanying table. Complete parts a through d. 490 300 352 430 453 180 UNO, Decause the sample distribution is definitely not normal. Is it reasonable to assume that the sample is random? No 196 264 290 275 A. Yes, because the problem statement indicates that it is. XB. The condition does not apply. OC. No, because we do not know the methods used by the researchers. Is it reasonable to assume that the sample size is much smaller than the population size? because the value 444 5 405 402 ... A. The condition does not apply. OB. No, because the length of the road is unknown. c. Yes, because there are many points that could be chosen along the road. Is it reasonable to assume that the sample was selected carefully to represent the whole population? A. No, because we do not know the methods used by the researchers. B. The condition does not apply. OC. Yes, because the problem statement indicates that it was. 570 310 d. A logger working on the road claims the mean skidding distance is at least 444 meters. Do you agree? 435 314 550 143 384 426 D

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A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sit
These values are given in the accompanying table. Complete parts a through d.
490
300
352
430
453
180
196
264
C. No, Decause the sample distribution is definitely not normal.
Is it reasonable to assume that the sample is random?
290
275
405
402
A. Yes, because the problem statement indicates that it is.
XB. The condition does not apply.
OC. No, because we do not know the methods used by the researchers.
Is it reasonable to assume that the sample size is much smaller than the population size?
A. No, because we do not know the methods used by the researchers.
B. The condition does not apply.
OC. Yes, because the problem statement indicates that it was.
C
570
310
A. The condition does not apply.
OB. No, because the length of the road is unknown.
c. Yes, because there are many points that could be chosen along the road.
Is it reasonable to assume that the sample was selected carefully to represent the whole population?
d. A logger working on the road claims the mean skidding distance is at least 444 meters. Do you agree?
No, because the value 444 lies outside the confidence interval.
435
314
550
143
384
426
Transcribed Image Text:A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sit These values are given in the accompanying table. Complete parts a through d. 490 300 352 430 453 180 196 264 C. No, Decause the sample distribution is definitely not normal. Is it reasonable to assume that the sample is random? 290 275 405 402 A. Yes, because the problem statement indicates that it is. XB. The condition does not apply. OC. No, because we do not know the methods used by the researchers. Is it reasonable to assume that the sample size is much smaller than the population size? A. No, because we do not know the methods used by the researchers. B. The condition does not apply. OC. Yes, because the problem statement indicates that it was. C 570 310 A. The condition does not apply. OB. No, because the length of the road is unknown. c. Yes, because there are many points that could be chosen along the road. Is it reasonable to assume that the sample was selected carefully to represent the whole population? d. A logger working on the road claims the mean skidding distance is at least 444 meters. Do you agree? No, because the value 444 lies outside the confidence interval. 435 314 550 143 384 426
A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sites.
These values are given in the accompanying table. Complete parts a through d.
490
300
352
430
453
180
196
264
290
275
A. The sample size must be much smaller than the population size.
B. The population distribution must be approximately normal.
C. The sample must be randomly selected from the population.
D. The sample must be selected carefully to represent the whole population.
Is it reasonable to assume that the population distribution is approximately normal?
Yes, because the sample distribution is approximately normal.
OB. The condition does not apply.
OC. No, because the sample distribution is definitely not normal.
Is it reasonable to assume that the sample is random?
CA. Yes, because the problem statement indicates that it is.
405
402
C...
570
310
435
314
a. Estimate the true mean skidding distance for the road with a 99% confidence interval.
(283.5.433.4) (Round to one decimal place as needed.)
b. Give a practical interpretation of the interval, part a.
The confidence interval means that we are 99 % confident that the true
mean skidding distance
c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below.
550
143
384
426
for the whole road
is in the interval.
D
Transcribed Image Text:A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. These values are given in the accompanying table. Complete parts a through d. 490 300 352 430 453 180 196 264 290 275 A. The sample size must be much smaller than the population size. B. The population distribution must be approximately normal. C. The sample must be randomly selected from the population. D. The sample must be selected carefully to represent the whole population. Is it reasonable to assume that the population distribution is approximately normal? Yes, because the sample distribution is approximately normal. OB. The condition does not apply. OC. No, because the sample distribution is definitely not normal. Is it reasonable to assume that the sample is random? CA. Yes, because the problem statement indicates that it is. 405 402 C... 570 310 435 314 a. Estimate the true mean skidding distance for the road with a 99% confidence interval. (283.5.433.4) (Round to one decimal place as needed.) b. Give a practical interpretation of the interval, part a. The confidence interval means that we are 99 % confident that the true mean skidding distance c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below. 550 143 384 426 for the whole road is in the interval. D
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