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. 487 352 199 287 410 570 435 382 454 185 549 142 295 430 265 272 400 310 310 422 a. Estimate the true mean skidding distance for the road with a 95% confidence interval. OOD (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 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 size must be much smaller than the population size. OC. The population distribution must be approximately normal. O D. The sample must be randomly selected from the population. Is it reasonable assume that the population distribution is approximately normal? O A. Yes, because the sample distribution is approximately normal. O B. No, because the sample distribution is definitely not normal. OC. The condition does not apply.
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. 487 352 199 287 410 570 435 382 454 185 549 142 295 430 265 272 400 310 310 422 a. Estimate the true mean skidding distance for the road with a 95% confidence interval. OOD (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 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 size must be much smaller than the population size. OC. The population distribution must be approximately normal. O D. The sample must be randomly selected from the population. Is it reasonable assume that the population distribution is approximately normal? O A. Yes, because the sample distribution is approximately normal. O B. No, because the sample distribution is definitely not normal. OC. The condition does not apply.
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.
487
352
430
454
199
287
272
410
570
310
435
310
549
382
422
295
185
265
400
142
a. Estimate the true mean skidding distance for the road with a 95% 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
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 size must be much smaller than the population size.
O C. The population distribution must be approximately normal.
O 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.
O B. No, because the sample distribution is definitely not normal.
O C. The condition does not apply.
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