
(a)
Section 1:
To find: The percentage of all attempted field goals made by Seth Fitzgerald.
(a)

Answer to Problem 20E
Solution: The required percentage is 53.33%.
Explanation of Solution
Calculation:
The percentage of field goals made by Seth Fitzgerald can be calculated as a ratio of the number of attempts, which are made by Seth Fitzgerald and total number of all attempted field goals by Seth Fitzgerald in a multiple of 100.
The total number of attempted field goal is calculated as:
The total number of field goals made by Seth Fitzgerald is calculated as:
Therefore, the required percentage is calculated as:
Section 2:
To find: The percentage of all attempted field goals made by Roberto Mantovani.
Solution: The required percentage is 53.84%.
Calculation:
The percentage of field goals made by Roberto Mantovani can be calculated as a ratio of the number of attempts that are made by Roberto Mantovani and total number of all attempted field goals in a multiple of 100.
The total number of attempted field goal is calculated as:
The total number of field goal made by Roberto Mantovani is calculated as:
Therefore, the required percentage is calculated as:
(b)
Section 1:
To find: The percentage of two-point and three-point field goals by Seth Fitzgerald.
(b)
Section 1:

Answer to Problem 20E
Solution: The percentages of two-point and three-point field goals are 55.56% and 50%.
Explanation of Solution
Calculation:
The percentage of two-point and three-point field goals can be calculated as a ratio of the number of attempts that are made by Seth Fitzgerald and the number of two-point and three-point field goals in a multiple of 100.
The total number of two-point attempted field goals by Seth Fitzgerald is calculated as:
The number of two-point field goals made is 5.
Therefore, the percentage of two-point field goals is calculated as:
The number of three-point attempted field goals is calculated as:
The number of three-point field goals made is 3.
Therefore, the percentage of three-point field goals made is calculated as:
Section 2:
To find: The percentage of two-point and three-point field goals by Roberto Mantovani.
Solution: The percentages of two-point and three-point field goals are 55.35% and 20%.
Explanation:
Calculation:
The percentage of two-point and three-point field goals made by Roberto Mantovani can be calculated as a ratio of the number of attempts that are made by Roberto Mantovani and the number of two-point and three-point field goals attempted in a multiple of 100.
The total number of two-point attempted field goals by Roberto Mantovani is calculated as:
The number of two-point field goals made is 62.
Therefore, the percentage of two-point field goals is calculated as:
The number of three-point field goals is calculated as:
The number of three-point field goals made is 1.
Therefore, the percentage of three-point field goals is calculated as:
(c)
To explain: The reason for which the provided statement is correct though its sounds to be impossible.
(c)

Answer to Problem 20E
Solution: As the number of goals made by Robert is more compared to the individual type of goals, the overall percentage is better.
Explanation of Solution
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Chapter 24 Solutions
Statistics: Concepts and Controversies
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