You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 16 containers. Estimate the population standard deviation at a 95% level of confidence. 11.83 11.88 12.02 12.2 12.06 12.21 11.97 11.96 12.19 11.93 11.93 12.25 12.05 12.02 11.91 11.94 (Data checksum: 192.35) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. Round final answer to 4 decimal places. a) Find the sample standard deviation: b) Find the lower and upper x² critical values at 95% confidence: Lower: Upper: c) Report your confidence interval for o: < 0 <
You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 16 containers. Estimate the population standard deviation at a 95% level of confidence. 11.83 11.88 12.02 12.2 12.06 12.21 11.97 11.96 12.19 11.93 11.93 12.25 12.05 12.02 11.91 11.94 (Data checksum: 192.35) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. Round final answer to 4 decimal places. a) Find the sample standard deviation: b) Find the lower and upper x² critical values at 95% confidence: Lower: Upper: c) Report your confidence interval for o: < 0 <
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
![You work for a soft-drink company in the quality control
division. You are interested in the standard deviation of one
of your production lines as a measure of consistency. The
product is intended to have a mean of 12 ounces, and your
team would like the standard deviation to be as low as
possible. You gather a random sample of 16 containers.
Estimate the population standard deviation at a 95% level of
confidence.
11.83
11.88 12.02 12.2 12.06 12.21
11.96 12.19 11.93
11.97
11.93 12.25
12.05 12.02 11.91 11.94
(Data checksum: 192.35)
Note: Keep as many decimals as possible while making these
calculations. If possible, keep all answers exact by storing
answers as variables on your calculator or computer. Round
final answer to 4 decimal places.
a) Find the sample standard deviation:
b) Find the lower and upper x² critical values at 95%
confidence:
Lower:
Upper:
c) Report your confidence interval for o:
<o<](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9dd31519-e039-435c-a120-3cd371187144%2Fa5f95711-b0f4-4bc4-8f9b-63960430ffc1%2F4x55m3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You work for a soft-drink company in the quality control
division. You are interested in the standard deviation of one
of your production lines as a measure of consistency. The
product is intended to have a mean of 12 ounces, and your
team would like the standard deviation to be as low as
possible. You gather a random sample of 16 containers.
Estimate the population standard deviation at a 95% level of
confidence.
11.83
11.88 12.02 12.2 12.06 12.21
11.96 12.19 11.93
11.97
11.93 12.25
12.05 12.02 11.91 11.94
(Data checksum: 192.35)
Note: Keep as many decimals as possible while making these
calculations. If possible, keep all answers exact by storing
answers as variables on your calculator or computer. Round
final answer to 4 decimal places.
a) Find the sample standard deviation:
b) Find the lower and upper x² critical values at 95%
confidence:
Lower:
Upper:
c) Report your confidence interval for o:
<o<
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 with 2 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