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Answer: In Exercise, use the following information. On a

Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber ISBN: 9780321911216 66

Solution for problem 48E Chapter 5.R

Elementary Statistics: Picturing the World | 6th Edition

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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber

Elementary Statistics: Picturing the World | 6th Edition

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Problem 48E

Problem 48E

In Exercise, use the following information. On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left.

What braking distance of a sedan represents the third quartile?

Step-by-Step Solution:

Solution :

Step 1 of 1:

The braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, the graph is

Our goal is:

We need to find braking distance of a sedan represents the third quartile.

From the given information the third quartile has a probability or area of 75% or 0.75 to its left.

Now we have to determine the z-score corresponding to the probability of 0.75.

Using area under the normal curve table,

z = 0.68

Then the value corresponding to the z-score is the mean increased by the product of the z-score and the standard deviation.

z =

0.68 =

129.5908

Therefore, braking distance of a sedan represents the third quartile is 129.5908.


Step 2 of 1

Chapter 5.R, Problem 48E is Solved
Textbook: Elementary Statistics: Picturing the World
Edition: 6
Author: Ron Larson; Betsy Farber
ISBN: 9780321911216

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Answer: In Exercise, use the following information. On a