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 65 and the standard deviation is 12. Suppose that 41 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 ? 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 65.7 and 68. d. For the 41 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65.7 and 68. e. For part d), is the assumption that the distribution is normal necessary? No Yes

The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 12. Suppose that 41 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 ? 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 65.7 and 68. d. For the 41 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65.7 and 68. e. For part d), is the assumption that the distribution is normal necessary? No Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
See similar textbooks
icon
Related questions
Question

need help!

The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 12. Suppose that 41 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 I? - 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 65.7 and 68. d. For the 41 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65.7 and 68. e. For part d), is the assumption that the distribution is normal necessary? O No Yes
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 12. Suppose that 41 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 I? - 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 65.7 and 68. d. For the 41 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65.7 and 68. e. For part d), is the assumption that the distribution is normal necessary? O No Yes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 20 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
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…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS