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The mean duration of television commercials is 75 seconds

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 23SE Chapter 1

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 23SE

Problem 23SE

The mean duration of television commercials is 75 seconds with standard deviation 20 seconds. Assume that the durations are approximately normally distributed to answer the following.

a What percentage of commercials last longer than 95 seconds?

b What percentage of the commercials last between 35 and 115 seconds?

c Would you expect commercial to last longer than 2 minutes? Why or why not?

Step-by-Step Solution:

Solution

Step 1of 3

The given mean duration is

And the standard deviation is

a) We have to find percentage of commercials is more than 95 seconds

Now we have to find P(X>95)

Then Z=(

           =(95-75)/20

           =1

Now find the area to the right of z=1 from the tables

Then P(Z>1)=1-0.8413

                    =0.1587

                    =15.87%

Hence the percentage of commercials is more than 95 seconds is 15.87%


Step 2 of 3

Chapter 1, Problem 23SE is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. The answer to “The mean duration of television commercials is 75 seconds with standard deviation 20 seconds. Assume that the durations are approximately normally distributed to answer the following.a What percentage of commercials last longer than 95 seconds?b What percentage of the commercials last between 35 and 115 seconds?c Would you expect commercial to last longer than 2 minutes? Why or why not?” is broken down into a number of easy to follow steps, and 60 words. Since the solution to 23SE from 1 chapter was answered, more than 513 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 23SE from chapter: 1 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. This full solution covers the following key subjects: seconds, Commercials, percentage, longer, expect. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811.

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The mean duration of television commercials is 75 seconds