
Concept explainers
To select: the best answer for the given question.

Answer to Problem 36E
The correct option is “b”
Explanation of Solution
Given:
- Bill, because his 190 is higher than George’s 180.
- Bill, because his standardized score is higher than George’s.
- Bill and George have the same rank in their leagues, because both are 30 pins above the
mean . - George, because his standardize score is higher than Bill’s.
- George, because the standard deviation of bowling scores is higher in his league.
Calculation:
The summary statistics are:
Score, x | µ | s | |
George | 180 | 150 | 20 |
Bill | 190 | 160 | 15 |
Find the z-scores for George and Bill respectively.
zGeorge=x−μσ=180−15020=1.5zBill=x−μσ=190−16015=2
Bill’s score is 2 standard deviations above the mean while George’s score is 1.5 standard deviations above the mean.
So the correct option is
(b) Bill, because his standardized score is higher than George’s.
Conclusion:
Therefore, the correct option is “b”
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Elementary Statistics: Picturing the World (7th Edition)
Algebra and Trigonometry (6th Edition)
Elementary Statistics (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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