A researcher wants to construct a 99% confidence interval to estimate the true mean age of the people who are part of a clinical trial testing the effectiveness of a new migraine medication. A simple random sample of size 15 is taken, producing a sample mean age of 36.7 years and a sample standard deviation of 5.6. If these ages are normally distributed, then the appropriate reliability coefficient for this confidence interval would be а. A. t= 2.9769 B. z = 2.576 C. t= 2.9467 D. t= 2.624 b. If the population standard deviation is 7.3 years, then the appropriate reliability coefficient for this confidence interval would be A. z = 1.96 B. t= 2.7239 C. z = 2.576 D. t= 2.439 . To estimate µ, the mean salary of full professors at American colleges and universities (which is normally distributed), you obtain the salaries of a simple random sample of 20 full professors. The sample mean was found to be $73,220, and the sample standard deviation is $4400. What is the value of the reliability coefficient for a 95% confidence interval foru when calculating the margin of error for this confidence interval? A. t= 1.7247 В. Z3 1.96 C. t= 1.7291 D. t= 2.0930
A researcher wants to construct a 99% confidence interval to estimate the true mean age of the people who are part of a clinical trial testing the effectiveness of a new migraine medication. A simple random sample of size 15 is taken, producing a sample mean age of 36.7 years and a sample standard deviation of 5.6. If these ages are normally distributed, then the appropriate reliability coefficient for this confidence interval would be а. A. t= 2.9769 B. z = 2.576 C. t= 2.9467 D. t= 2.624 b. If the population standard deviation is 7.3 years, then the appropriate reliability coefficient for this confidence interval would be A. z = 1.96 B. t= 2.7239 C. z = 2.576 D. t= 2.439 . To estimate µ, the mean salary of full professors at American colleges and universities (which is normally distributed), you obtain the salaries of a simple random sample of 20 full professors. The sample mean was found to be $73,220, and the sample standard deviation is $4400. What is the value of the reliability coefficient for a 95% confidence interval foru when calculating the margin of error for this confidence interval? A. t= 1.7247 В. Z3 1.96 C. t= 1.7291 D. t= 2.0930
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
100%
Answer both 1 and 2. Also, show all your work.
![1. A researcher wants to construct a 99% confidence interval to estimate the true
mean age of the people who are part of a clinical trial testing the effectiveness of a
new migraine medication. A simple random sample of size 15 is taken, producing
a sample mean age of 36.7 years and a sample standard deviation of 5.6.
If these ages are normally distributed, then the appropriate reliability
coefficient for this confidence interval would be
а.
A. t= 2.9769
B. z = 2.576
C. t= 2.9467
D. t= 2.624
b. If the population standard deviation is 7.3
reliability coefficient for this confidence interval would be
A. z = 1.96
B. t= 2.7239
C. z = 2.576
D. t= 2.439
years,
then the
appropriate
2. To estimate µ, the mean salary of full professors at American colleges and
universities (which is normally distributed), you obtain the salaries of a simple
random sample of 20 full professors. The sample mean was found to be $73,220,
and the sample standard deviation is $4400. What is the value of the reliability
coefficient for a 95% confidence interval for u when calculating the margin of
error for this confidence interval?
A. t= 1.7247
B. z= 1.96
C. t= 1.7291
D. t= 2.0930](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bc14d35-fb46-4bbd-bb05-eb7035d7ebe0%2Fe26dfb98-6955-4069-9fd1-28d3ae09ec95%2Fnbkyw2w_processed.png&w=3840&q=75)
Transcribed Image Text:1. A researcher wants to construct a 99% confidence interval to estimate the true
mean age of the people who are part of a clinical trial testing the effectiveness of a
new migraine medication. A simple random sample of size 15 is taken, producing
a sample mean age of 36.7 years and a sample standard deviation of 5.6.
If these ages are normally distributed, then the appropriate reliability
coefficient for this confidence interval would be
а.
A. t= 2.9769
B. z = 2.576
C. t= 2.9467
D. t= 2.624
b. If the population standard deviation is 7.3
reliability coefficient for this confidence interval would be
A. z = 1.96
B. t= 2.7239
C. z = 2.576
D. t= 2.439
years,
then the
appropriate
2. To estimate µ, the mean salary of full professors at American colleges and
universities (which is normally distributed), you obtain the salaries of a simple
random sample of 20 full professors. The sample mean was found to be $73,220,
and the sample standard deviation is $4400. What is the value of the reliability
coefficient for a 95% confidence interval for u when calculating the margin of
error for this confidence interval?
A. t= 1.7247
B. z= 1.96
C. t= 1.7291
D. t= 2.0930
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman