4.13 Waiting at an ER, Part I: A hospital administrator hoping to improve wait times decides to estimate the average emergency room waiting time at her hospital. She collects a simple random sample of 64 patients and determines the time (in minutes) between when they checked in to the ER until they were first seen by a doctor. A 95% confidence interval based on this sample is (128 minutes, 147 minutes), which is based on the normal model for the mean. Determine whether the following statements are true or false, and explain your reasoning. (a) This confidence interval is not valid since we do not know if the population distribution of the ER wait times is nearly Normal. O true O false (b) We are 95% confident that the average waiting time of these 64 emergency room patients is between 128 and 147 minutes. O false O true (c) We are 95% confident that the average waiting time of all patients at this hospital's emergency room is between 128 and 147 minutes. O false O true (d) 95% of random samples have a sample mean between 128 and 147 minutes. O true O false (e) A 99% confidence interval would be narrower than the 95% confidence interval since we need to be more sure of our estimate. O false O true

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
Question
(f) The margin of error is 9.5 and the sample mean is 137.5.
O true
O false
(g) In order to decrease the margin of error of a 95% confidence interval to half of what it is now, we would
need to double the sample size.
O false
O true
Transcribed Image Text:(f) The margin of error is 9.5 and the sample mean is 137.5. O true O false (g) In order to decrease the margin of error of a 95% confidence interval to half of what it is now, we would need to double the sample size. O false O true
4.13 Waiting at an ER, Part I: A hospital administrator hoping to improve wait times decides to estimate
the average emergency room waiting time at her hospital. She collects a simple random sample of 64
patients and determines the time (in minutes) between when they checked in to the ER until they were
first seen by a doctor. A 95% confidence interval based on this sample is (128 minutes, 147 minutes), which
is based on the normal model for the mean. Determine whether the following statements are true or false,
and explain your reasoning.
(a) This confidence interval is not valid since we do not know if the population distribution of the ER wait
times is nearly Normal.
O true
O false
(b) We are 95% confident that the average waiting time of these 64 emergency room patients is between
128 and 147 minutes.
O false
O true
(c) We are 95% confident that the average waiting time of all patients at this hospital's emergency room is
between 128 and 147 minutes.
O false
O true
(d) 95% of random samples have a sample mean between 128 and 147 minutes.
O true
O false
(e) A 99% confidence interval would be narrower than the 95% confidence interval since we need to be
more sure of our estimate.
O false
O true
Transcribed Image Text:4.13 Waiting at an ER, Part I: A hospital administrator hoping to improve wait times decides to estimate the average emergency room waiting time at her hospital. She collects a simple random sample of 64 patients and determines the time (in minutes) between when they checked in to the ER until they were first seen by a doctor. A 95% confidence interval based on this sample is (128 minutes, 147 minutes), which is based on the normal model for the mean. Determine whether the following statements are true or false, and explain your reasoning. (a) This confidence interval is not valid since we do not know if the population distribution of the ER wait times is nearly Normal. O true O false (b) We are 95% confident that the average waiting time of these 64 emergency room patients is between 128 and 147 minutes. O false O true (c) We are 95% confident that the average waiting time of all patients at this hospital's emergency room is between 128 and 147 minutes. O false O true (d) 95% of random samples have a sample mean between 128 and 147 minutes. O true O false (e) A 99% confidence interval would be narrower than the 95% confidence interval since we need to be more sure of our estimate. O false O true
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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