Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 1, Problem 1.48SE
a.
To determine
To find: The relative frequency histogram for the data.
a.
Expert Solution
Answer to Problem 1.48SE
The relative frequency histogram for the data is shown in Figure-1.
Explanation of Solution
Given information: The data is shown below.
| 8.9 | 12.3 | 10.7 | 8.4 | 7.8 | 11.5 | 8.2 | 9.0 | 8.8 |
| 7.1 | 11.8 | 10.3 | 7.7 | 9.0 | 10.5 | 9.1 | 8.7 | 8.7 |
| 9.1 | 9.0 | 10.5 | 11.2 | 7.7 | 8.8 | 12.2 | 7.9 | 8.8 |
| 8.7 | 7.1 | 8.7 | 7.6 | 5.1 | 35.1 | 10.5 | 10.4 | 11.0 |
| 10.2 | 8.6 | 10.7 | 9.6 | 8.3 | 8.0 | 9.5 | 7.7 | 9.4 |
| 8.7 | 7.8 | 10.2 | 6.9 | 9.2 | 10.2 | 6.2 | 9.6 | 12.2 |
Calculation:
The histogram is shown below.
Figure-1
Thus, the histogram for the data is shown in Figure-1.
b.
To determine
To explain:Whether the observation describes the geography of the city.
b.
Expert Solution
Explanation of Solution
Given information: The data is shown below.
| 8.9 | 12.3 | 10.7 | 8.4 | 7.8 | 11.5 | 8.2 | 9.0 | 8.8 |
| 7.1 | 11.8 | 10.3 | 7.7 | 9.0 | 10.5 | 9.1 | 8.7 | 8.7 |
| 9.1 | 9.0 | 10.5 | 11.2 | 7.7 | 8.8 | 12.2 | 7.9 | 8.8 |
| 8.7 | 7.1 | 8.7 | 7.6 | 5.1 | 35.1 | 10.5 | 10.4 | 11.0 |
| 10.2 | 8.6 | 10.7 | 9.6 | 8.3 | 8.0 | 9.5 | 7.7 | 9.4 |
| 8.7 | 7.8 | 10.2 | 6.9 | 9.2 | 10.2 | 6.2 | 9.6 | 12.2 |
Since, the highest peak in the Mount Washington is at 6288 ft which is famous for the erratic weather but the recorded value is an outlier with respect to the geographical location of the city.
c.
To determine
To explain:Whether the wind is unusual.
c.
Expert Solution
Explanation of Solution
Given information: The data is shown below.
| 8.9 | 12.3 | 10.7 | 8.4 | 7.8 | 11.5 | 8.2 | 9.0 | 8.8 |
| 7.1 | 11.8 | 10.3 | 7.7 | 9.0 | 10.5 | 9.1 | 8.7 | 8.7 |
| 9.1 | 9.0 | 10.5 | 11.2 | 7.7 | 8.8 | 12.2 | 7.9 | 8.8 |
| 8.7 | 7.1 | 8.7 | 7.6 | 5.1 | 35.1 | 10.5 | 10.4 | 11.0 |
| 10.2 | 8.6 | 10.7 | 9.6 | 8.3 | 8.0 | 9.5 | 7.7 | 9.4 |
| 8.7 | 7.8 | 10.2 | 6.9 | 9.2 | 10.2 | 6.2 | 9.6 | 12.2 |
Since, the relative frequency is
Thus, the observation is usually windy.
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Chapter 1 Solutions
Introduction to Probability and Statistics
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