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 261 millimeters with a standard deviation of 45 mm. For pompano, the mean is 156 mm with a standard deviation of 24 mm.
Stewart caught a bluefish that was 286 mm long, and Gina caught a pompano that was 181 mm long. Who caught the longer fish, relative to fish of the same species?
A)Stewart
B)Neither. Relative to its respective species, the fish are the same length.
C)Gina

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 (286 - 261) / 45 = 0.56 standard deviations above the mean, while Gina's pompano is (181 - 156) / 24 = 1.04 standard deviations above the mean for pompano. Therefore, relative to fish of the same species, Gina caught the longer fish.

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