SOLUTION: A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. As a preliminary study, a random sample of 50 freshly caught salmon is weighed

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Question 934898: A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. As a preliminary study, a random sample of 50 freshly caught salmon is weighed. The sample standard deviation is 2.15 pounds. How large a sample should be taken to be 99% confident that the sample mean is within 0.20 pound of the true mean weight?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. As a preliminary study, a random sample of 50 freshly caught salmon is weighed. The sample standard deviation is 2.15 pounds. How large a sample should be taken to be 99% confident that the sample mean is within 0.20 pound of the true mean weight?
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sample std = s/sqrt(50) = 2.15 implies that s = 2.15*sqrt(50) = 15.20
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n = [z*s/E]^2
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n = [2.5758*15.20/0.2]^2 = 38,323
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Cheers,
Stan H.
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