Two siblings are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 284 millimeters with a standard deviation of 39 mm. For pompano, the mean is 123 mm with a standard deviation of 34 mm. The eldest sibling caught a bluefish that was 322 mm long, and the younger sibling caught a pompano that was 176 mm long. Who caught the longer fish, relative to fish of the same species?

Find the z-score for the bluefish that was caught:

Give the calculation and values you used as a way to show your work:

Give your final answer rounded to two decimal places for the z-score for the bluefish:

Find the z-score for the pompano that was caught:

Give the calculation and values you used as a way to show your work:

Give your final answer rounded to two decimal places for the z-score for the pompano:

Conclusion:

Who caught the longer fish, relative to fish of the same species?