The average number of miles (in thousands) that a car's tire will function before needing replacement is 71 and the standard deviation is 19. Suppose that 18 randomly selected tires are tested. Round all answers to 4 decimal places if necessary. a. What is the distribution of ? ~ 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 68.7 and 73.8.

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
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 71
and the standard deviation is 19.
Suppose that 18 randomly selected tires are tested.
Round all answers to 4 decimal places if necessary.
a. What is the distribution of ?
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 68.7 and 73.8.
d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 68.7 and 73.8.
e. For part d), is the assumption that the distribution is normal necessary? No Yes
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 71 and the standard deviation is 19. Suppose that 18 randomly selected tires are tested. Round all answers to 4 decimal places if necessary. a. What is the distribution of ? 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 68.7 and 73.8. d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 68.7 and 73.8. e. For part d), is the assumption that the distribution is normal necessary? No Yes
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