Patagonia is an outdoor American clothing and gear company and was founded in 1973. The average price of a Patagonia jacket is $202 and the standard deviation is $21. Suppose that 6 Patagonia jackets are randomly selected. Round answers to 4 decimal places. a. What is the distribution of ? T - N b. For the group of 6, find the probability that the average price is between $208 and $216. c. Find the third quartile for the average Patagonia jacket price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No
Patagonia is an outdoor American clothing and gear company and was founded in 1973. The average price of a Patagonia jacket is $202 and the standard deviation is $21. Suppose that 6 Patagonia jackets are randomly selected. Round answers to 4 decimal places. a. What is the distribution of ? T - N b. For the group of 6, find the probability that the average price is between $208 and $216. c. Find the third quartile for the average Patagonia jacket price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No
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
![Patagonia is an outdoor American clothing and gear company and was founded in 1973. The average price of a Patagonia jacket is $202 and the standard deviation is $21. Suppose that 6 Patagonia jackets are randomly selected. Round answers to 4 decimal places.
a. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N \left( \_\_, \_ \right) \)
b. For the group of 6, find the probability that the average price is between $208 and $216. \_\_\_\_
c. Find the third quartile for the average Patagonia jacket price for this sample size. $ \_\_\_\_
( \text{round to the nearest cent} )
d. For part b), is the assumption that the distribution is normal necessary? ◯ Yes ◯ No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4506b8da-c2cc-42a3-8039-41217f182aab%2Fdfc99ecb-a2dc-412e-a97c-1f4c5e1a3c6e%2F5bie8vi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Patagonia is an outdoor American clothing and gear company and was founded in 1973. The average price of a Patagonia jacket is $202 and the standard deviation is $21. Suppose that 6 Patagonia jackets are randomly selected. Round answers to 4 decimal places.
a. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N \left( \_\_, \_ \right) \)
b. For the group of 6, find the probability that the average price is between $208 and $216. \_\_\_\_
c. Find the third quartile for the average Patagonia jacket price for this sample size. $ \_\_\_\_
( \text{round to the nearest cent} )
d. For part b), is the assumption that the distribution is normal necessary? ◯ Yes ◯ No
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 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.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