(a) Rank Gibson, Maddux, and Martinez in impressiveness relative to their respective Leagues.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Answer questions 3 parts A,B and C. Math statistics
Below are Earned Run Averages for the indicated Leagues.
1968 N.L.
1994 N.L.
LEAGUE
Mean of Earned
Run Averages of
Starting Pitchers
Standard Deviation
of Earned Run
Averages of
Starting Pitchers
Bob
Gibson:
2.82
.68
1.12
Greg
Maddux:
4.05
.98
1.56
Pedro
Martinez:
1999 A.L.
4.62
.80
2.07
Assume that all distributions are normal.
Note: the lower an Earned Run Average is, the better (more impressive) it is.
(a) Rank Gibson, Maddux, and Martinez in impressiveness relative to their respective Leagues.
(b) What would Gibson's Earned Run Average have to have been in 1968 for his performance to
have been exactly as impressive as was Martinez' in 1999?
(c) What would a pitcher's Earned Run Average have to have been in 1999 to have been in the
lowest 7% of Earned Run Averages?
Transcribed Image Text:Below are Earned Run Averages for the indicated Leagues. 1968 N.L. 1994 N.L. LEAGUE Mean of Earned Run Averages of Starting Pitchers Standard Deviation of Earned Run Averages of Starting Pitchers Bob Gibson: 2.82 .68 1.12 Greg Maddux: 4.05 .98 1.56 Pedro Martinez: 1999 A.L. 4.62 .80 2.07 Assume that all distributions are normal. Note: the lower an Earned Run Average is, the better (more impressive) it is. (a) Rank Gibson, Maddux, and Martinez in impressiveness relative to their respective Leagues. (b) What would Gibson's Earned Run Average have to have been in 1968 for his performance to have been exactly as impressive as was Martinez' in 1999? (c) What would a pitcher's Earned Run Average have to have been in 1999 to have been in the lowest 7% of Earned Run Averages?
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