A tire manufacturer believes that the tread life of its snow tires can be described by a Normal model with a mean of 31 000 miles and a standard deviation of 2500 miles. Complete parts a through e below. Question content area bottom Part 1 a) If you buy a set of these tires, would it be reasonable for you to hope that they'll last 36 000 miles? Explain. About 2.3% of tires are expected to have a tread life greater than 36 000 miles. It would not be reasonable to hope that your tires lasted this long. (Round to one decimal place as needed.) Part 2 b) Approximately what fraction of these tires can be expected to last less than 27 000 miles? About 5.5% of these tires can be expected to last less than 27 000 miles. (Round to one decimal place as needed.) Part 3 c) Approximately what fraction of these tires can be expected to last between 27 000 and 35 000 miles? About 89.0% of these tires can be expected to last between 27 000 and 35 000 miles. (Round to one decimal place as needed.) Part 4 d) Estimate the interquartile range (IQR) for these data. The IQR is 3373 miles. (Round to the nearest mile as needed.) Part 5 e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big of a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he guarantee these tires to last? The tire dealer can guarantee these tires last at least enter your response here miles.
A tire manufacturer believes that the tread life of its snow tires can be described by a Normal model with a mean of 31 000 miles and a standard deviation of 2500 miles. Complete parts a through e below. Question content area bottom Part 1 a) If you buy a set of these tires, would it be reasonable for you to hope that they'll last 36 000 miles? Explain. About 2.3% of tires are expected to have a tread life greater than 36 000 miles. It would not be reasonable to hope that your tires lasted this long. (Round to one decimal place as needed.) Part 2 b) Approximately what fraction of these tires can be expected to last less than 27 000 miles? About 5.5% of these tires can be expected to last less than 27 000 miles. (Round to one decimal place as needed.) Part 3 c) Approximately what fraction of these tires can be expected to last between 27 000 and 35 000 miles? About 89.0% of these tires can be expected to last between 27 000 and 35 000 miles. (Round to one decimal place as needed.) Part 4 d) Estimate the interquartile range (IQR) for these data. The IQR is 3373 miles. (Round to the nearest mile as needed.) Part 5 e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big of a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he guarantee these tires to last? The tire dealer can guarantee these tires last at least enter your response here miles.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
A tire manufacturer believes that the tread life of its snow tires can be described by a Normal model with a mean of
31 000
miles and a standard deviation of
2500
miles. Complete parts a through e below.Question content area bottom
Part 1
a) If you buy a set of these tires, would it be reasonable for you to hope that they'll last
36 000
miles? Explain.About
be reasonable to hope that your tires lasted this long.
2.3%
of tires are expected to have a tread life greater than
36 000
miles. It
would not
(Round to one decimal place as needed.)
Part 2
b) Approximately what fraction of these tires can be expected to last less than
27 000
miles?About
5.5%
of these tires can be expected to last less than
27 000
miles.(Round to one decimal place as needed.)
Part 3
c) Approximately what fraction of these tires can be expected to last between
27 000
and
35 000
miles?About
89.0%
of these tires can be expected to last between
27 000
and
35 000
miles.(Round to one decimal place as needed.)
Part 4
d) Estimate the interquartile range (IQR) for these data.
The IQR is
3373
miles.(Round to the nearest mile as needed.)
Part 5
e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big of a risk. If the dealer is willing to give refunds to no more than 1 of every
25
customers, for what mileage can he guarantee these tires to last?The tire dealer can guarantee these tires last at least
enter your response here
miles.Expert Solution
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
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt