A research study investigated the composition of wines from the Rhine and Moselle wine regions of Germany. One component measured was the concentration of i-Butyl alcohol. The results of the study are listed in the following table: Region i-Butyl alcohol (mg/100ml) Rhine 9. x = 5.32, s = 2.24 Moselle 14 x = 3.62, s = 0.97 (a) Assume that the underlying population variances from the two regions are identical. At the 0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is the same for wines from the Rhine and Moselle regions. (b) Construct a 95% confidence interval for part (a). (c) Now assume that the underlying population variances from the two regions differ. At the 0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is the same for wines from the Rhine and Moselle regions.
A research study investigated the composition of wines from the Rhine and Moselle wine regions of Germany. One component measured was the concentration of i-Butyl alcohol. The results of the study are listed in the following table: Region i-Butyl alcohol (mg/100ml) Rhine 9. x = 5.32, s = 2.24 Moselle 14 x = 3.62, s = 0.97 (a) Assume that the underlying population variances from the two regions are identical. At the 0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is the same for wines from the Rhine and Moselle regions. (b) Construct a 95% confidence interval for part (a). (c) Now assume that the underlying population variances from the two regions differ. At the 0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is the same for wines from the Rhine and Moselle regions.
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
![A research study investigated the composition of wines from the Rhine and Moselle wine regions
of Germany. One component measured was the concentration of i-Butyl alcohol. The results of
the study are listed in the following table:
Region
i-Butyl alcohol (mg/100ml)
Rhine
x = 5.32, s = 2.24
Moselle
14
x = 3.62, s-0.97
(a) Assume that the underlying population variances from the two regions are identical. At the
0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl
alcohol is the same for wines from the Rhine and Moselle regions.
(b) Construct a 95% confidence interval for part (a).
(c) Now assume that the underlying population variances from the two regions differ. At the 0.05
level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is
the same for wines from the Rhine and Moselle regions.
(d) Construct a 95% confidence interval for part (c).
(e) If
you were to provide a report to the investigators which of the above results would
you
include and why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe626c0b2-59cc-4988-8fd3-ce57909bf1cc%2F192d9cfb-4f75-431e-96fc-b00a8d35db72%2Fm2ntd9l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A research study investigated the composition of wines from the Rhine and Moselle wine regions
of Germany. One component measured was the concentration of i-Butyl alcohol. The results of
the study are listed in the following table:
Region
i-Butyl alcohol (mg/100ml)
Rhine
x = 5.32, s = 2.24
Moselle
14
x = 3.62, s-0.97
(a) Assume that the underlying population variances from the two regions are identical. At the
0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl
alcohol is the same for wines from the Rhine and Moselle regions.
(b) Construct a 95% confidence interval for part (a).
(c) Now assume that the underlying population variances from the two regions differ. At the 0.05
level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is
the same for wines from the Rhine and Moselle regions.
(d) Construct a 95% confidence interval for part (c).
(e) If
you were to provide a report to the investigators which of the above results would
you
include and why?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 10 steps with 3 images
![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