The manufacturer tests 60 such tires to determine their durability. Assume the life of these tires in miles is 2. A specially designed car tire has an average life of 38,500 miles with a standard deviation of 2,500 miles.A aadig ore type a The manufacturer tests 60 such tires to determine their durability. Assume the life of these tires ln mne approximately normally distributed. (a) Let X = number of miles of a single tire. Find the probability that in the sample above the mean will be less than 38,000 miles. (Use 4 decimals) rox< 38000) =nomolcor (IEa, 3800, 38,500, 2,500)=.5442 born
The manufacturer tests 60 such tires to determine their durability. Assume the life of these tires in miles is 2. A specially designed car tire has an average life of 38,500 miles with a standard deviation of 2,500 miles.A aadig ore type a The manufacturer tests 60 such tires to determine their durability. Assume the life of these tires ln mne approximately normally distributed. (a) Let X = number of miles of a single tire. Find the probability that in the sample above the mean will be less than 38,000 miles. (Use 4 decimals) rox< 38000) =nomolcor (IEa, 3800, 38,500, 2,500)=.5442 born
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
Question
![2. A specially designed car tire has an average life of 38,500 miles with a standard deviation of 2,500 ms is
approximately normally distributed.
(a) Let X = number of miles of a single tire. Find the probability that in the sample above the mean will be
less than 38,000 miles. (Use 4 decimals)
rox< 38000) =nomacr (IEa, 3,0o, 38,500, 2,50).5442
PCX
bobnpt.ou vnio
(b) Use the software tool below (or any other) to graph and shade the probability from part (a).
Do not graph manually. The graph should show the appropriate area from part (a).
Tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions
(c) The tire manufacturer wants to set the tire warranty to 39,100 miles. Is this a good decision? What are
the possible consequences to the manufacturer? Explain in detail.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8630531d-4a5f-4480-9cc0-696c107fd5d2%2Feb8b723a-e78e-4de3-b860-8e17d564ee2a%2Fthzmbsi.jpeg&w=3840&q=75)
Transcribed Image Text:2. A specially designed car tire has an average life of 38,500 miles with a standard deviation of 2,500 ms is
approximately normally distributed.
(a) Let X = number of miles of a single tire. Find the probability that in the sample above the mean will be
less than 38,000 miles. (Use 4 decimals)
rox< 38000) =nomacr (IEa, 3,0o, 38,500, 2,50).5442
PCX
bobnpt.ou vnio
(b) Use the software tool below (or any other) to graph and shade the probability from part (a).
Do not graph manually. The graph should show the appropriate area from part (a).
Tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions
(c) The tire manufacturer wants to set the tire warranty to 39,100 miles. Is this a good decision? What are
the possible consequences to the manufacturer? Explain in detail.
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 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt