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Law Incorporation [45]
3 years ago
13

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 51 mm. For pompano, the mean is 129 mm with a standard deviation of 40 mm. Stewart caught a bluefish that was 321 mm long. What was the z-score for this length?
Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

0.647

Step-by-step explanation:

The z-score of a variable, x, is given by

z = \dfrac{x-\mu}{\sigma}

where \mu is the mean and \sigma is the standard deviation.

For a bluefish, \mu=288 and \sigma = 51. The z-score for x=321 is

z = \dfrac{321-288}{51}=\dfrac{33}{51} = 0.647

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