Answer:
Ted Williams has the highest standardized score, hence Williams is the best of the three
Cobb is the second highest and hence, the better player
George Brett is third
Step-by-step explanation:
Given the data:
Decade : 1910 __ 1940 ____ 1970
Mean, μ: 0.266 __0.267 ___ 0.261
S/dev, σ : 0.0371 _ 0.0326 __ 0.0317
To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.
Standardized score (Zscore) : (x - μ) / σ
Cobb, x = 0.420
Ted Williams, x = 0.406
George Brett, x = 0.390
COBB:
Zscore = (0.420 - 0.266) / 0.0371 = 4.1509
Ted Williams :
Zscore = (0.406 - 0.267) / 0.0326 = 4.2638
George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694
Ted Williams has the highest standardized score, hence Williams is the best of the three
Cobb is the second highest and hence, the better player
George Brett is third
