Instructions An engineer responsible for a manufacturing process recorded the following data in inches about a process she is responsible for managing. 18.22 16.55 19.48 15.70 19.36 17.83 15.94 13.25 15.83 16.12 19.70 18.13 15.76 14.02 17.00 14.04 13.96 16.20 She is interested in seeing if the mean is different from the known mean of 15 inches. If she took this data randomly from 18 samples, at a significance level of 1% or 0.01, is there evidence to indicate that the mean from the sample is different from the known mean value of 15 inches? Use the attached template to provide your results which includes the following sections. 1. State the Null and Alternative Hypothesis 2. State your assumptions and how you know they are reasonable. 3. Perform the hypothesis test or indicate why a hypothesis test could not be reasonably performed. 4. Describe your results and conclusions in narrative format
Instructions An engineer responsible for a manufacturing process recorded the following data in inches about a process she is responsible for managing. 18.22 16.55 19.48 15.70 19.36 17.83 15.94 13.25 15.83 16.12 19.70 18.13 15.76 14.02 17.00 14.04 13.96 16.20 She is interested in seeing if the mean is different from the known mean of 15 inches. If she took this data randomly from 18 samples, at a significance level of 1% or 0.01, is there evidence to indicate that the mean from the sample is different from the known mean value of 15 inches? Use the attached template to provide your results which includes the following sections. 1. State the Null and Alternative Hypothesis 2. State your assumptions and how you know they are reasonable. 3. Perform the hypothesis test or indicate why a hypothesis test could not be reasonably performed. 4. Describe your results and conclusions in narrative format
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
![Instructions
An engineer responsible for a manufacturing process recorded the following data in inches about a process she is responsible for
managing.
18.22 16.55
19.48 15.70
19.36 17.83
15.94 13.25
15.83 16.12
19.70
18.13
15.76 14.02
17.00 14.04
13.96 16.20
She is interested in seeing if the mean is different from the known mean of 15 inches. If she took this data randomly from 18
samples, at a significance level of 1% or 0.01, is there evidence to indicate that the mean from the sample is different from the
known mean value of 15 inches?
Use the attached template to provide your results which includes the following sections.
1. State the Null and Alternative Hypothesis
2. State your assumptions and how you know they are reasonable.
3. Perform the hypothesis test or indicate why a hypothesis test could not be reasonably performed.
4. Describe your results and conclusions in narrative format
If it is assumed the population standard deviation is known and is equal to 1.8
1. Using your results, explain how you would know you were making a type I error
2. Using your results, explain how you would know you were making a type II error
3. If the true mean is, 14 inches, what is the power of this test?
4. If the true mean is 16 inches, what is the power of this test?
Assignment 1 Template.docx (15.71 KB)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1455d052-0fd1-41d1-aa26-f5c071d1f80a%2Feb1ca186-1234-4be6-bcda-349e9b656788%2Fvdve1lr_processed.png&w=3840&q=75)
Transcribed Image Text:Instructions
An engineer responsible for a manufacturing process recorded the following data in inches about a process she is responsible for
managing.
18.22 16.55
19.48 15.70
19.36 17.83
15.94 13.25
15.83 16.12
19.70
18.13
15.76 14.02
17.00 14.04
13.96 16.20
She is interested in seeing if the mean is different from the known mean of 15 inches. If she took this data randomly from 18
samples, at a significance level of 1% or 0.01, is there evidence to indicate that the mean from the sample is different from the
known mean value of 15 inches?
Use the attached template to provide your results which includes the following sections.
1. State the Null and Alternative Hypothesis
2. State your assumptions and how you know they are reasonable.
3. Perform the hypothesis test or indicate why a hypothesis test could not be reasonably performed.
4. Describe your results and conclusions in narrative format
If it is assumed the population standard deviation is known and is equal to 1.8
1. Using your results, explain how you would know you were making a type I error
2. Using your results, explain how you would know you were making a type II error
3. If the true mean is, 14 inches, what is the power of this test?
4. If the true mean is 16 inches, what is the power of this test?
Assignment 1 Template.docx (15.71 KB)
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 5 steps with 8 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