Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 1.5, Problem 1.33E
a.
To determine
To find:The shape of the distribution.
a.
Expert Solution
Answer to Problem 1.33E
The shape of the distribution is symmetric.
Explanation of Solution
Given information: The data is shown below.
| Washington | 67 | Arthur | 56 |
| J. Adams | 90 | Cleveland | 71 |
| Jefferson | 83 | B.Harrison | 67 |
| Madison | 85 | McKinley | 58 |
| Monroe | 73 | T.Roosevelt | 60 |
| J.0.Adams | 80 | Taft | 72 |
| Jackson | 78 | Wilson | 67 |
| Van Buren | 79 | Harding | 57 |
| W.H.Harrison | 68 | Coolidge | 60 |
| Tyler | 71 | Hoover | 90 |
| Polk | 53 | F.D.Roosevelt | 63 |
| Taylor | 65 | Truman | 88 |
| Fillmore | 74 | Eisenhower | 78 |
| Pierce | 64 | Kennedy | 46 |
| Buchanan | 77 | L. Johnson | 64 |
| Lincoln | 56 | Nixon | 81 |
| A. Johnson | 66 | Ford | 93 |
| Grant | 63 | Carter | 93 |
| Hayes | 70 | Reagan | 93 |
| Garfield | 49 |
Calculation:
The distribution is consisting of the ages at death per the presidents and the data is looking like symmetric.
Thus, the shape of the distribution is symmetric.
b.
To determine
To find: The stem and leaf plot for the data.
The stem and leaf plot for the data is shown in Figure-1.
b.
Expert Solution
Answer to Problem 1.33E
The stem and leaf plot for the data is shown in Figure-1.
Explanation of Solution
Given information: The data is shown below.
| Washington | 67 | Arthur | 56 |
| J. Adams | 90 | Cleveland | 71 |
| Jefferson | 83 | B.Harrison | 67 |
| Madison | 85 | McKinley | 58 |
| Monroe | 73 | T.Roosevelt | 60 |
| J.0.Adams | 80 | Taft | 72 |
| Jackson | 78 | Wilson | 67 |
| Van Buren | 79 | Harding | 57 |
| W.H.Harrison | 68 | Coolidge | 60 |
| Tyler | 71 | Hoover | 90 |
| Polk | 53 | F.D.Roosevelt | 63 |
| Taylor | 65 | Truman | 88 |
| Fillmore | 74 | Eisenhower | 78 |
| Pierce | 64 | Kennedy | 46 |
| Buchanan | 77 | L. Johnson | 64 |
| Lincoln | 56 | Nixon | 81 |
| A. Johnson | 66 | Ford | 93 |
| Grant | 63 | Carter | 93 |
| Hayes | 70 | Reagan | 93 |
| Garfield | 49 |
Calculation:
The stem and leaf plot is shown below.
Figure-1
Thus, the stem and leaf plot for the data is shown in Figure-1.
c.
To determine
To explain:The five youngest presidents at time of death appear in lower tail.
c.
Expert Solution
Explanation of Solution
Given information: The data is shown below.
| Washington | 67 | Arthur | 56 |
| J. Adams | 90 | Cleveland | 71 |
| Jefferson | 83 | B.Harrison | 67 |
| Madison | 85 | McKinley | 58 |
| Monroe | 73 | T.Roosevelt | 60 |
| J.0.Adams | 80 | Taft | 72 |
| Jackson | 78 | Wilson | 67 |
| Van Buren | 79 | Harding | 57 |
| W.H.Harrison | 68 | Coolidge | 60 |
| Tyler | 71 | Hoover | 90 |
| Polk | 53 | F.D.Roosevelt | 63 |
| Taylor | 65 | Truman | 88 |
| Fillmore | 74 | Eisenhower | 78 |
| Pierce | 64 | Kennedy | 46 |
| Buchanan | 77 | L. Johnson | 64 |
| Lincoln | 56 | Nixon | 81 |
| A. Johnson | 66 | Ford | 93 |
| Grant | 63 | Carter | 93 |
| Hayes | 70 | Reagan | 93 |
| Garfield | 49 |
From Figure-1 it is clear that The five youngest presidents at time of death appear in lower tail are Kennedy at age of 46, Garfield at age of 49, Polk at age of 53, Arthur at age of 56 and Lincoln at age of 56.
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