Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 288 millimeters with a
Standard deviation of 63 mm. For pompano, the mean is 128 mm with a standard
Deviation of 31 mm.
Stewart caught a bluefish that was 307 mm long, and Gina caught a pompano that was
189 mm long. Who caught the longer fish, relative to fish of the same species?
A) Neither. Relative to its respective species, the fish are the same length.
B) Gina
C) Stewart

Question

Quizplus · Accepted Answer

Gina's pompano is more standard deviations above the mean for pompano than Stewart's bluefish is above the mean for bluefish. Stewart's bluefish is (307-288)/63 = 0.30 standard deviations above the mean, while Gina's pompano is (189-128)/31 = 1.97 standard deviations above the mean.

Gina and Stewart Are Surf-Fishing on the Atlantic Coast, Where