In a survey, 600 adults in a certain country were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 37.2 and upper bound: 44.4. Which of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw. Complete parts (a) through (d) below. (a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 37.2 hours and 44.4 hours. A. Flawed. This interpretation implies that the population mean varies rather than the interval. B. Flawed. This interpretation implies that the mean is only for last week. OC. Flawed. This interpretation makes an implication about individuals rather than the mean. OD. Correct. This interpretation is reasonable. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 37.2 hours and 44.4 hours. O A. Correct. This interpretation is reasonable. B. Flawed. This interpretation implies that the population mean varies rather than the interval. C. Flawed. This interpretation makes an implication about individuals rather than the mean. OD. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval. (c) 95% of adults in this country worked between 37.2 hours and 44.4 hours last week. O A. Flawed. This interpretation implies that the mean is only for last week. O B. Correct. This interpretation is reasonable. C. Flawed. This interpretation makes an implication about individuals rather than the mean. D. Flawed, This interpretation does not make it clear that the 95% is the probability that the mean is within the interval, (d) We are 95% confident that the mean number of hours worked by adults in a particular area of this country in the previous week was between 37.2 hours and 44.4 hours. A. Flawed. This interpretation makes an implication about individuals rather than the mean, B. Flawed, The interpretation should be about the mean number of hours worked by adults in the whole country, not about adults in the particular area. OC. Correct. This interpretation is reasonable. O D. Flawed. This interpretation implies that the population mean varies rather than the interval.
In a survey, 600 adults in a certain country were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 37.2 and upper bound: 44.4. Which of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw. Complete parts (a) through (d) below. (a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 37.2 hours and 44.4 hours. A. Flawed. This interpretation implies that the population mean varies rather than the interval. B. Flawed. This interpretation implies that the mean is only for last week. OC. Flawed. This interpretation makes an implication about individuals rather than the mean. OD. Correct. This interpretation is reasonable. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 37.2 hours and 44.4 hours. O A. Correct. This interpretation is reasonable. B. Flawed. This interpretation implies that the population mean varies rather than the interval. C. Flawed. This interpretation makes an implication about individuals rather than the mean. OD. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval. (c) 95% of adults in this country worked between 37.2 hours and 44.4 hours last week. O A. Flawed. This interpretation implies that the mean is only for last week. O B. Correct. This interpretation is reasonable. C. Flawed. This interpretation makes an implication about individuals rather than the mean. D. Flawed, This interpretation does not make it clear that the 95% is the probability that the mean is within the interval, (d) We are 95% confident that the mean number of hours worked by adults in a particular area of this country in the previous week was between 37.2 hours and 44.4 hours. A. Flawed. This interpretation makes an implication about individuals rather than the mean, B. Flawed, The interpretation should be about the mean number of hours worked by adults in the whole country, not about adults in the particular area. OC. Correct. This interpretation is reasonable. O D. Flawed. This interpretation implies that the population mean varies rather than the interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:In a survey, 600 adults in a certain country were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for mean
number of hours worked was lower bound: 37.2 and upper bound: 44.4. Which of the following represents a reasonable interpretation of the result? For those that
are not reasonable, explain the flaw. Complete parts (a) through (d) below.
(a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 37.2 hours and 44.4 hours.
A. Flawed. This interpretation implies that the population mean varies rather than the interval.
B. Flawed. This interpretation implies that the mean is only for last week.
OC. Flawed. This interpretation makes an implication about individuals rather than the mean.
OD. Correct. This interpretation is reasonable.
(b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 37.2 hours and 44.4 hours.
O A. Correct. This interpretation is reasonable.
B. Flawed. This interpretation implies that the population mean varies rather than the interval.
OC. Flawed. This interpretation makes an implication about individuals rather than the mean.
O D. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval.
(c) 95% of adults in this country worked between 37.2 hours and 44.4 hours last week.
O A. Flawed. This interpretation implies that the mean is only for last week.
O B. Correct. This interpretation is reasonable.
C. Flawed. This interpretation makes an implication about individuals rather than the mean.
D. Flawed, This interpretation does not make it clear that the 95% is the probability that the mean is within the interval,
(d) We are 95% confident that the mean number of hours worked by adults in a particular area of this country in the previous week was between 37.2 hours and
44.4 hours.
A. Flawed. This interpretation makes an implication about individuals rather than the mean,
B. Flawed, The interpretation should be about the mean number of hours worked by adults in the whole country, not about adults in the particular area.
OC. Correct. This interpretation is reasonable.
O D. Flawed. This interpretation implies that the population mean varies rather than the interval.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman