Homework Help is Here – Start Your Trial Now!
Math
Statistics
The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of a? - N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of a? - N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of x? ¤ ~ N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of x? ¤ ~ N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE 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
SEE MORE TEXTBOOKS