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. 488 300 350 433 456 181 196 265 286 272 A. The population distribution must be approximately normal. B. The sample size must be much smaller than the population size. C. The sample must be selected carefully to represent the whole population. D. The sample must be randomly selected from the population. Is it reasonable to assume that the population distribution is approximately normal? OA. 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? OA. Yes, because the problem statement indicates that it is. 405 402 ( 574 314 a. Estimate the true mean skidding distance for the road with a 95% confidence interval. (Round to one decimal place as needed.) b. Give a practical interpretation of the interval, part a. The confidence interval means that we are confident that the true c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below. 435 312 for 546 143 380 422 is in the interval. D Question W

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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 sites.
These values are given in the accompanying table. Complete parts a through d.
488
300
350
433
456
181
196
265
UC. No, Decause the sample aistribution is definitely not normal.
Is it reasonable to assume that the sample is random?
286
272
405
402
...
574
314
OA. Yes, because the problem statement indicates that it is.
OB. 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?
OA. Yes, because there are many points that could be chosen along the road.
OB. No, because the length of the road is unknown.
OC. The condition does not apply.
Is it reasonable to assume that the sample was selected carefully to represent the whole population?
OA. The condition does not apply.
OB. No, because we do not know the methods used by the researchers.
OC. Yes, because the problem statement indicates that it was.
d. A logger working on the road claims the mean skidding distance is at least 439 meters. Do you agree?
▼, because the value 439 lies
the confidence interval.
435
312
546
143
380
422
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. 488 300 350 433 456 181 196 265 UC. No, Decause the sample aistribution is definitely not normal. Is it reasonable to assume that the sample is random? 286 272 405 402 ... 574 314 OA. Yes, because the problem statement indicates that it is. OB. 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? OA. Yes, because there are many points that could be chosen along the road. OB. No, because the length of the road is unknown. OC. The condition does not apply. Is it reasonable to assume that the sample was selected carefully to represent the whole population? OA. The condition does not apply. OB. No, because we do not know the methods used by the researchers. OC. Yes, because the problem statement indicates that it was. d. A logger working on the road claims the mean skidding distance is at least 439 meters. Do you agree? ▼, because the value 439 lies the confidence interval. 435 312 546 143 380 422 D
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 site:
These values are given in the accompanying table. Complete parts a through d.
488
300
350
433
456
181
196
265
286
272
A. The population distribution must be approximately normal.
B. The sample size must be much smaller than the population size.
C. The sample must be selected carefully to represent the whole population.
D. The sample must be randomly selected from the population.
Is it reasonable to assume that the population distribution is approximately normal?
O A. Yes, because the sample distribution is approximately normal.
OB. The condition does not apply.
O C. No, because the sample distribution is definitely not normal.
Is it reasonable to assume that the sample is random?
OA. Yes, because the problem statement indicates that it is.
405
402
C
574
314
a. Estimate the true mean skidding distance for the road with a 95% confidence interval.
(Round to one decimal place as needed.)
b. Give a practical interpretation of the interval, part a.
The confidence interval means that we are confident that the true
c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below.
435
312
for
546
143
380
422
is in the interval.
D
Question Vie
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 site: These values are given in the accompanying table. Complete parts a through d. 488 300 350 433 456 181 196 265 286 272 A. The population distribution must be approximately normal. B. The sample size must be much smaller than the population size. C. The sample must be selected carefully to represent the whole population. D. The sample must be randomly selected from the population. Is it reasonable to assume that the population distribution is approximately normal? O A. Yes, because the sample distribution is approximately normal. OB. The condition does not apply. O C. No, because the sample distribution is definitely not normal. Is it reasonable to assume that the sample is random? OA. Yes, because the problem statement indicates that it is. 405 402 C 574 314 a. Estimate the true mean skidding distance for the road with a 95% confidence interval. (Round to one decimal place as needed.) b. Give a practical interpretation of the interval, part a. The confidence interval means that we are confident that the true c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below. 435 312 for 546 143 380 422 is in the interval. D Question Vie
Expert Solution
Step 1: Write the given information.

The true mean is denoted by mu.

The sample size is n equals 20.

Sample data values are 488, 300, 350, 433, 456, 181, 196, 265, 286, 272, 405, 402, 574, 314, 435, 312, 546, 143, 380, 422.

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