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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman