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. 488 298 350 435 457 183 198 260 289 272 407 400 572 315 435 310 545 145 382 426 a. Estimate the true mean skidding distance for the road with a 99% confidence interval. O! D (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 for V is in the interval. c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below. O A. The sample must be selected carefully to represent the whole population. O B. The sample must be randomly selected from the population. O C. The sample size must be much smaller than the population size. O D. The population distribution must be approxcimately normal. Is it reasonable to assume that the population distribution is approximately normal? O A. No, because the sample distribution is definitely not normal. O B. Yes, because the sample distribution is approximately normal. O C. The condition does not apply. Is it reasonable to assume that the sample is random?
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. 488 298 350 435 457 183 198 260 289 272 407 400 572 315 435 310 545 145 382 426 a. Estimate the true mean skidding distance for the road with a 99% confidence interval. O! D (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 for V is in the interval. c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below. O A. The sample must be selected carefully to represent the whole population. O B. The sample must be randomly selected from the population. O C. The sample size must be much smaller than the population size. O D. The population distribution must be approxcimately normal. Is it reasonable to assume that the population distribution is approximately normal? O A. No, because the sample distribution is definitely not normal. O B. Yes, because the sample distribution is approximately normal. O C. The condition does not apply. Is it reasonable to assume that the sample is random?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
350
457
198
289
407
572
435
545
382
298
435
183
260
272
400
315
310
145
426
a. Estimate the true mean skidding distance for the road with a 99% confidence interval.
D (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
for
V
is in the interval.
c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below.
O A. The sample must be selected carefully to represent the whole population.
O B. The sample must be randomly selected from the population.
O C. The sample size must be much smaller than the population size.
O D. The population distribution must be approximately normal.
Is it reasonable to assume that the population distribution is approximately normal?
O A. No, because the sample distribution is definitely not normal.
O B. Yes, because the sample distribution is approximately normal.
O C. The condition does not apply.
Is it reasonable to assume that the sample
is random?
O A. No, because we do not know the methods used by the researchers.
O B. Yes, because the problem statement indicates that it is.
O C. The condition does not apply.
Is it reasonable to assume that the sample size is much smaller than the population size?
O A. No, because the length of the road is unknown.
O B. The condition does not apply.
O C. Yes, because there are many points that could be chosen along the road.
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