Marine scientists have previously measured the weight of a wide-ranging fish to be 9.0 lbs with a standard deviation of 0.35 lbs. A sample is taken off the Atlantic and has an average weight of 8.2 lbs. Explain how to conclude if the sample is unrepresentative of the population.

Question

Mathematics

Benjamin Davenport

3 January, 00:58

Marine scientists have previously measured the weight of a wide-ranging fish to be 9.0 lbs with a standard deviation of 0.35 lbs. A sample is taken off the Atlantic and has an average weight of 8.2 lbs. Explain how to conclude if the sample is unrepresentative of the population.

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Stevenson · Answer 1

Given:

Actual: 9.0 lbs with standard deviation of 0.35 lbs

sample: 8.2 lbs

standard deviation means that the fish caught should be within the range of 8.65 and 9.35

9.00 + 0.35 = 9.35 lbs

9.00 - 0.35 = 8.65 lbs

The sample that had an average weight of 8.2 lbs is not a representative of the population because its weight goes beyond the standard deviation.