3) You go out and collect the following estimates of earthworms/acre: 54776 58878 51608 67020 66732 59518 57659 These data yield the following: y = 59,455.86, and s = 5733.16 a) Construct a 95% CI for these data. b) Construct a 99.8% CI for these data. c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate consistent with the data above? (Historical note: His estimate was considered way too high in his day). 4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this usually the case (in other words, will a 99.8% CI contain most of the observations)? Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in 6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure, substitute 6,000 for 7 in your calculation for 3(b) to see what happens.
3) You go out and collect the following estimates of earthworms/acre: 54776 58878 51608 67020 66732 59518 57659 These data yield the following: y = 59,455.86, and s = 5733.16 a) Construct a 95% CI for these data. b) Construct a 99.8% CI for these data. c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate consistent with the data above? (Historical note: His estimate was considered way too high in his day). 4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this usually the case (in other words, will a 99.8% CI contain most of the observations)? Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in 6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure, substitute 6,000 for 7 in your calculation for 3(b) to see what happens.
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
Please answer all 4
![3) You go out and collect the following estimates of earthworms/acre:
54776 58878 51608 67020 66732 59518 57659
These data yield the following: y = 59,455.86, and s = 5733.16
a) Construct a 95% CI for these data.
b) Construct a 99.8% CI for these data.
c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate
consistent with the data above? (Historical note: His estimate was considered way too high in
his day).
4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this
usually the case (in other words, will a 99.8% CI contain most of the observations)?
Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in
6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure,
substitute 6,000 for 7 in your calculation for 3(b) to see what happens.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c38e7b2-8e12-4a93-bef1-91f6fdab7430%2Fdeb5f670-417e-4b02-8aab-1d82c812dae8%2Fh74bata_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3) You go out and collect the following estimates of earthworms/acre:
54776 58878 51608 67020 66732 59518 57659
These data yield the following: y = 59,455.86, and s = 5733.16
a) Construct a 95% CI for these data.
b) Construct a 99.8% CI for these data.
c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate
consistent with the data above? (Historical note: His estimate was considered way too high in
his day).
4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this
usually the case (in other words, will a 99.8% CI contain most of the observations)?
Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in
6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure,
substitute 6,000 for 7 in your calculation for 3(b) to see what happens.
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 1 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