MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Topic Video
Question
Safari
File
Edit
View
History
Bookmarks
Window
Help
Sun 10:16
A myopenmath.com
МyOpenMath
b Answered: What is a point estimate for the... | bartleby
b Answered: An engineer wishes to determine the... | bartleby
Suppose you are a researcher in a hospital. You are experimenting with a new tranqunizer. You collEtt data
from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in
hours) is as follows:
Hours
3
3
2.9
2.5
2.5
3
2.7
2.4
2.7
3
3
What is a point estimate for the population mean length of time. (Round answer to 2 decimal places)
2.79
What must be true in order to construct a confidence interval in this situation?
The population must be approximately normal
Construct a 90% confidence interval for the population mean length of time. (Round upper and lower bounds
to 2 decimal places.)
What does it mean to be "90% confident" in this problem?
There is a 90% chance that the confidence interval contains the sample mean time.
The confidence interval contains 90% of all sample times.
90% of all times will fall within this interval.
O 90% of all confidence intervals found using this same sampling technique will contain the population
mean time.
Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible?
expand button
Transcribed Image Text:Safari File Edit View History Bookmarks Window Help Sun 10:16 A myopenmath.com МyOpenMath b Answered: What is a point estimate for the... | bartleby b Answered: An engineer wishes to determine the... | bartleby Suppose you are a researcher in a hospital. You are experimenting with a new tranqunizer. You collEtt data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 3 3 2.9 2.5 2.5 3 2.7 2.4 2.7 3 3 What is a point estimate for the population mean length of time. (Round answer to 2 decimal places) 2.79 What must be true in order to construct a confidence interval in this situation? The population must be approximately normal Construct a 90% confidence interval for the population mean length of time. (Round upper and lower bounds to 2 decimal places.) What does it mean to be "90% confident" in this problem? There is a 90% chance that the confidence interval contains the sample mean time. The confidence interval contains 90% of all sample times. 90% of all times will fall within this interval. O 90% of all confidence intervals found using this same sampling technique will contain the population mean time. Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible?
Expert Solution
Check Mark
Step 1

Given, the data from a random sample of n=11 patients regarding the period of effectiveness of tranquilizer for each patient.

α=1-0.90=0.10

The point estimate for the population mean length of time is obtained as-

mean(x)=3+3+2.9+2.5+2.5+3+....+311=30.711=2.79

In order to construct a confidence interval in this situation  "The population must be approximately normal"

The required standard deviation for the sample is obtained as-

Standard deviation s=111-1×3-2.792+3-2.792+2.9-2.792+2.5-2.792+....+3-2.792=110×0.569091=0.239

The degrees of freedom is obtained as-

df=n-1=11-1=10

 

 

 

Knowledge Booster
Background pattern image
Statistics
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
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman