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

See similar textbooks

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

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