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Below are the durations (in minutes) of 40 time intervals
Chapter 4, Problem 4E(choose chapter or problem)
Below are the durations (in minutes) of 40 time intervals between eruptions of the geyser Old Faithful in Yellowstone National Park.
91 51 79 53 82 51 76 82 84 53
86 51 85 45 88 51 80 49 82 75
73 67 68 86 72 75 75 66 84 70
79 60 86 71 67 81 76 83 76 55
Construct a normal probability plot for these data. Do they appear to come from an approximately normal distribution?
Questions & Answers
QUESTION:
Below are the durations (in minutes) of 40 time intervals between eruptions of the geyser Old Faithful in Yellowstone National Park.
91 51 79 53 82 51 76 82 84 53
86 51 85 45 88 51 80 49 82 75
73 67 68 86 72 75 75 66 84 70
79 60 86 71 67 81 76 83 76 55
Construct a normal probability plot for these data. Do they appear to come from an approximately normal distribution?
ANSWER:
Solution :
Step 1 of 1:
Given the below are the duration (in minute) of 40 time intervals between eruptions of the 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.
The formula of the cumulative probability is
=
Where i = 1,2,3,...,40.
And n=40.
Now we have to construct a normal probability plot for these data.
We are using excel to plot the normal probability.
First 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 |
45 |
0.0125 |
-2.241402728 |
21 |
75 |
0.5125 |
0.031337982 |
2 |
49 |
0.0375 |