A new automotive company sends its employees from two manufacturing plants to attend a course for up skilling. The HR wanted to check if the employees are equaly acchive the learning outcome of the attended the course. To assess the effect of a particular course, 15 staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was determined based on the final test score in Table 2. Assume those final test from manufacturing plant A and B are both normally distributed with unequal population standard deviations. Table 2: The summary of the final test Mean Location n Standard deviation Plant A 15 81.6 1.70 Plant B 15 75.9 1.83 i. Find the 95% confident interval for the difference between mean final test results from the two manufacturing plants. ii. Does the data indicate that the final test is higher for plant A than plant B by more than 5% ? Use a 0.05 significance level.
A new automotive company sends its employees from two manufacturing plants to attend a course for up skilling. The HR wanted to check if the employees are equaly acchive the learning outcome of the attended the course. To assess the effect of a particular course, 15 staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was determined based on the final test score in Table 2. Assume those final test from manufacturing plant A and B are both normally distributed with unequal population standard deviations. Table 2: The summary of the final test Mean Location n Standard deviation Plant A 15 81.6 1.70 Plant B 15 75.9 1.83 i. Find the 95% confident interval for the difference between mean final test results from the two manufacturing plants. ii. Does the data indicate that the final test is higher for plant A than plant B by more than 5% ? Use a 0.05 significance level.
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
![(b)
A new automotive company sends its employees from two manufacturing plants to attend
a course for up skilling. The HR wanted to check if the employees are equaly acchive the
learning outcome of the attended the course. To assess the effect of a particular course, 15
staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was
determined based on the final test score in Table 2. Assume those final test from
Imanufacturing plant A and B are both normally distributed with unequal population
standard deviations.
Table 2: The summary of the final test
Location
Standard deviation
1.70
n
Mean
Plant A
15
81.6
Plant B
15
75.9
1.83
i.
Find the 95% confident interval for the difference between mean final test results
from the two manufacturing plants.
ii.
Does the data indicate that the final test is higher for plant A than plant B by
more than 5% ? Use a 0.05 significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fc3d883-0559-4ba1-a7a2-86dd3afedbc2%2F25ecfe34-d40e-4d39-9941-1be99275c346%2F2pjwhge_processed.png&w=3840&q=75)
Transcribed Image Text:(b)
A new automotive company sends its employees from two manufacturing plants to attend
a course for up skilling. The HR wanted to check if the employees are equaly acchive the
learning outcome of the attended the course. To assess the effect of a particular course, 15
staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was
determined based on the final test score in Table 2. Assume those final test from
Imanufacturing plant A and B are both normally distributed with unequal population
standard deviations.
Table 2: The summary of the final test
Location
Standard deviation
1.70
n
Mean
Plant A
15
81.6
Plant B
15
75.9
1.83
i.
Find the 95% confident interval for the difference between mean final test results
from the two manufacturing plants.
ii.
Does the data indicate that the final test is higher for plant A than plant B by
more than 5% ? Use a 0.05 significance level.
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.
Step by step
Solved in 3 steps with 4 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