Introduction to Probability and Statistics
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
Check Mark

Answer to Problem 1.33E

The shape of the distribution is symmetric.

Explanation of Solution

Given information: The data is shown below.

    Washington67Arthur56
    J. Adams90Cleveland71
    Jefferson83B.Harrison67
    Madison85McKinley58
    Monroe73T.Roosevelt60
    J.0.Adams80Taft72
    Jackson78Wilson67
    Van Buren79Harding57
    W.H.Harrison68Coolidge60
    Tyler71Hoover90
    Polk53F.D.Roosevelt63
    Taylor65Truman88
    Fillmore74Eisenhower78
    Pierce64Kennedy46
    Buchanan77L. Johnson64
    Lincoln56Nixon81
    A. Johnson66Ford93
    Grant63Carter93
    Hayes70Reagan93
    Garfield49  

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
Check Mark

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.

    Washington67Arthur56
    J. Adams90Cleveland71
    Jefferson83B.Harrison67
    Madison85McKinley58
    Monroe73T.Roosevelt60
    J.0.Adams80Taft72
    Jackson78Wilson67
    Van Buren79Harding57
    W.H.Harrison68Coolidge60
    Tyler71Hoover90
    Polk53F.D.Roosevelt63
    Taylor65Truman88
    Fillmore74Eisenhower78
    Pierce64Kennedy46
    Buchanan77L. Johnson64
    Lincoln56Nixon81
    A. Johnson66Ford93
    Grant63Carter93
    Hayes70Reagan93
    Garfield49  

Calculation:

The stem and leaf plot is shown below.

  Introduction to Probability and Statistics, Chapter 1.5, Problem 1.33E

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
Check Mark

Explanation of Solution

Given information: The data is shown below.

    Washington67Arthur56
    J. Adams90Cleveland71
    Jefferson83B.Harrison67
    Madison85McKinley58
    Monroe73T.Roosevelt60
    J.0.Adams80Taft72
    Jackson78Wilson67
    Van Buren79Harding57
    W.H.Harrison68Coolidge60
    Tyler71Hoover90
    Polk53F.D.Roosevelt63
    Taylor65Truman88
    Fillmore74Eisenhower78
    Pierce64Kennedy46
    Buchanan77L. Johnson64
    Lincoln56Nixon81
    A. Johnson66Ford93
    Grant63Carter93
    Hayes70Reagan93
    Garfield49  

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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Chapter 1 Solutions

Introduction to Probability and Statistics

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