Concept explainers
Possibility of the statement provided about Peter’s performance.
Answer to Problem 8E
The statement provided about Peter’s performance is possible.
Explanation of Solution
Given information:
Peter records a time that would fall at the 80th percentile.
Peter’s performance places him at the 50th percentile.
Peter records a time that would fall at the 80th percentile.
That means
The race time of Peter was higher than 80% of all race times of Peter that season.
Peter’s performance places him at 50th percentile.
That means
The race time of Peter was higher than 50% of all race times (including Peter’s race time).
Since,
80th percentile refers only to the race times of Peter.
Whereas,
50th percentile refers to the race times of all other competitors.
Thus,
The given statement is possible.
Chapter 2 Solutions
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
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Introductory Statistics (2nd Edition)
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