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Below are the durations (in minutes) of 40 eruptions of

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 3E Chapter 4.10

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 3E

Below are the durations (in minutes) of 40 eruptions of the geyser Old Faithful in Yellowstone National Park.

4.1

1.8

3.2

1.9

4.6

2.0

4.5

3.9

4.3

2.3

3.8

1.9

4.6

1.8

4.7

1.8

4.6

1.9

3.5

4.0

3.7

3.7

4.3

3.6

3.8

3.8

3.8

2.5

4.5

4.1

3.7

3.8

3.4

4.0

2.3

4.4

4.1

4.3

3.3

2.0

Construct a normal probability plot for these data. Do the data appear to come from an approximately normal distribution?

Step-by-Step Solution:

Solution :

Step 1 of 1:

Given the below are the duration in minute of 40 eruptions of geyser old faithful in yellowstone national park.

Here n=40.

Our goal is:

We need to construct a normal probability plot for these data and

We need to find do these data appear to come from an approximately normal population.

Now we have to find the normal probability plot for these data .

The formula of the cumulative probability is

=

Where i = 1,2,3,...,40.

And n=40.  

We are using excel to plot the normal probability.

Then we sorted  values.

We are using =NORMSINV function to find the .

=NORMSINV(0.0125) 

Then we get value is -2.241402728.

The data is given below.

                    i

                  

       

     

           

                   i

                           

       

     

           

1

1.8

0.0125

-2.241402728

21

3.8

0.5125

0.031337982

2

1.8

0.0375

-1.780464342

22

3.8

0.5375

0.094137414

3

1.8

0.0625

-1.534120544

23

3.8

0.5625

0.157310685

4

1.9

0.0875

-1.356311745

24

3.8

0.5875

0.221118713

5

1.9

0.1125

-1.213339622

25

3.9

0.6125

0.285840875

6

1.9

0.1375

-1.091620367

26

4

0.6375

0.351784345

7

2

0.1625

-0.98423496

27

4

0.6625

0.419295753

8

2

0.1875

-0.887146559

28

4.1

0.6875

0.488776411

9

2.3

0.2125

-0.797776846

29

4.1

0.7125

0.560703032

10

2.3

0.2375

-0.71436744

30

4.1

0.7375

0.635657014

11

2.5

0.2625

Step 2 of 1

Chapter 4.10, Problem 3E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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Below are the durations (in minutes) of 40 eruptions of