Clinton Bay is famous for its wild salmon, one of the most spectacular seafood products in the world. However, due to years of heavy fishing, some researchers believe that the average size of wild salmon is getting smaller. To ensure sustainability of the salmon population, the government of Clinton Bay only allows salmon with a length of 80 cm or longer to be kept. In other words, any salmon caught that are shorter than 80cm will need to be released back to the sea. An international fishing company is considering expanding their business into Clinton Bay, but they are concerned about whether they can harvest enough large salmon to make their desired profit. Based on information gathered from other fishing companies, 35% of the salmon caught at Clinton Bay are longer than 80 cm. They also know from a scientific report that the mean length of the salmon caught in the recent years is 72 cm, and the standard deviation of the lengths is 10 cm. ) Based on the reported mean and standard deviation of the lengths, and proportion of salmon that are longer than 80 cm, do you think the salmon lengths are normally distributed? Explain why or why not.
Clinton Bay is famous for its wild salmon, one of the most spectacular seafood products in the world. However, due to years of heavy fishing, some researchers believe that the average size of wild salmon is getting smaller. To ensure sustainability of the salmon population, the government of Clinton Bay only allows salmon with a length of 80 cm or longer to be kept. In other words, any salmon caught that are shorter than 80cm will need to be released back to the sea. An international fishing company is considering expanding their business into Clinton Bay, but they are concerned about whether they can harvest enough large salmon to make their desired profit. Based on information gathered from other fishing companies, 35% of the salmon caught at Clinton Bay are longer than 80 cm. They also know from a scientific report that the mean length of the salmon caught in the recent years is 72 cm, and the standard deviation of the lengths is 10 cm. ) Based on the reported mean and standard deviation of the lengths, and proportion of salmon that are longer than 80 cm, do you think the salmon lengths are normally distributed? Explain why or why not.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
Section1.CR: Review Problem Set
Problem 67CR: A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each...
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Transcribed Image Text:Clinton Bay is famous for its wild salmon, one of the most spectacular seafood products in the world. However, due
to years of heavy fishing, some researchers believe that the average size of wild salmon is getting smaller. To ensure
sustainability of the salmon population, the government of Clinton Bay only allows salmon with a length of 80 cm or
longer to be kept. In other words, any salmon caught that are shorter than 80cm will need to be released back to the
sea.
An international fishing company is considering expanding their business into Clinton Bay, but they are concerned
about whether they can harvest enough large salmon to make their desired profit. Based on information gathered
from other fishing companies, 35% of the salmon caught at Clinton Bay are longer than 80 cm. They also know from
a scientific report that the mean length of the salmon caught in the recent years is 72 cm, and the standard deviation
of the lengths is 10 cm.
) Based on the reported mean and standard deviation of the lengths, and proportion of salmon that are
longer than 80 cm, do you think the salmon lengths are normally distributed? Explain why or why not.
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