3. A random sample of 17 wolf litters in Ontario, Canada, gave an average of x1 = 4.9 wolf pups per litter, with estimated sample standard deviation s = 1.0. Another random sample of 6 wolf litters in Finland gave an average of x2 litter, with sample standard deviation s2 = 1.2. = 2.8 wolf pups per a. Find an 85% confidence interval for4, - 42, the difference in population mean litter size between Ontario and Finland b. Examine the confidence interval and explain what it means in the context of the problem. Does the interval consist of numbers that are all positive, all negative, or different signs? At the 85% level of confidence, does it appear that the average litter size of wolf pups in Ontario is greater than the average litter size in Finland?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Transcription for Educational Use**

---

3. A random sample of 17 wolf litters in Ontario gave an average of \(\bar{x}_1 = 4.9\) wolf pups per litter, with estimated sample standard deviation \(s_1 = 10\). Another random sample of 6 wolf litters in Finland gave an average of \(\bar{x}_2 = 2.8\) wolf pups per litter with sample standard deviation \(s_2 = 12\).

a. Find an 85% confidence interval for \(\mu_1 - \mu_2\), the difference in population mean litter size between Ontario and Finland.

b. Examine the confidence interval and explain what it means in the context of the problem. Does the interval consist of numbers that are all positive? all negative? (In other words, at the 85% level of confidence, does it appear that the average litter size of wolf pups in Ontario is greater than the average litter size in Finland?)

--- 

*Note: Variables and symbols such as \(\bar{x}\), \(\mu\), and \(s\) represent sample means, population means, and standard deviations respectively.*
Transcribed Image Text:**Transcription for Educational Use** --- 3. A random sample of 17 wolf litters in Ontario gave an average of \(\bar{x}_1 = 4.9\) wolf pups per litter, with estimated sample standard deviation \(s_1 = 10\). Another random sample of 6 wolf litters in Finland gave an average of \(\bar{x}_2 = 2.8\) wolf pups per litter with sample standard deviation \(s_2 = 12\). a. Find an 85% confidence interval for \(\mu_1 - \mu_2\), the difference in population mean litter size between Ontario and Finland. b. Examine the confidence interval and explain what it means in the context of the problem. Does the interval consist of numbers that are all positive? all negative? (In other words, at the 85% level of confidence, does it appear that the average litter size of wolf pups in Ontario is greater than the average litter size in Finland?) --- *Note: Variables and symbols such as \(\bar{x}\), \(\mu\), and \(s\) represent sample means, population means, and standard deviations respectively.*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman