a.
To explain: The reason of assuming that scores of two students are not dependent.
a.
Explanation of Solution
Given:
For women:
Population mean
Population standard deviation
For men:
Population mean
Population standard deviation
Calculation:
From the provided information, it is known that the sample have been chosen randomly. Thus, it is required to assume that scores of men and women are independent.
b.
To find: The expected value and standard deviation of the scores of men and women.
b.
Answer to Problem 52E
The expected value and standard deviation are 15 and 44.8219.
Explanation of Solution
The expected value and standard deviation of the scores of men and women can be computed as:
The expected value and standard deviation are 15 and 44.8219.
c.
To find: Whether the probability that women has scores more than man can be calculated or not.
c.
Explanation of Solution
The probability that women has scores more than man cannot be calculated because no information regarding the distribution has been provided. Thus, the required probability cannot be computed here.
Chapter 6 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Introductory Statistics (10th Edition)
Fundamentals of Statistics (5th Edition)
Elementary Statistics Using Excel (6th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
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