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 bottomPart 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 000miles. ​(Round to one decimal place as​ needed.) Part 4 ​d) Estimate the interquartile range​ (IQR) for these data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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.
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