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8.S.6 Biologists noticed that some stream fishes are most often found in pools, which are deep, slow-moving parts of the stream, while others prefer riffles, which are shallow, fast-moving regions. To investigate whether these two habitats support equal levels of diversity (i.e., equal numbers of species), they captured fish at 15 locations along a river. At each location, they recorded the number of species captured in a riffle and the number captured in an adjacent pool. The following table contains the data.31 Construct a 90% confidence interval for the difference in mean diversity between the types of habitats. Location Pool Riffle Difference 3 3 2 6 3 3 3 3 3 4 8 4 4 5 2 3 6 2 2

8.S.6 Biologists noticed that some stream fishes are most often found in pools, which are deep, slow-moving parts of the stream, while others prefer riffles, which are shallow, fast-moving regions. To investigate whether these two habitats support equal levels of diversity (i.e., equal numbers of species), they captured fish at 15 locations along a river. At each location, they recorded the number of species captured in a riffle and the number captured in an adjacent pool. The following table contains the data.31 Construct a 90% confidence interval for the difference in mean diversity between the types of habitats. Location Pool Riffle Difference 3 3 2 6 3 3 3 3 3 4 8 4 4 5 2 3 6 2 2

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Refer to Exercise 8.S.6. Analyze these data using a Wilcoxon signed-rank test.

 

8.S.6 Blologists noticed that some stream fiIshes are most often found in pools, which are deep, slow-moving parts of the stream, while others prefer riffles, which are shallow, fast-moving regions. To investigate whether these two habitats support equal levels of diversity (i.e., equal numbers of species), they captured fish at 15 locations along a river. At each location, they recorded the number of species captured in a riffle and the number captured in an adjacent pool. The following table contains the data.1 Construct a 90% confidence interval for the difference in mean diversity between the types of habitats. Location Pool Riffle Difference 1 6 3 3 6 3 3 3 3 3 4 8 4 4 2 6 2 2 7 6 2 4 8 7 2 9. 1 2 1 10 3 2 11 4 3 1 12 5 4 13 4 1 14 2 15 4 3 1 Mean 4.7 2.5 2.2
Transcribed Image Text:8.S.6 Blologists noticed that some stream fiIshes are most often found in pools, which are deep, slow-moving parts of the stream, while others prefer riffles, which are shallow, fast-moving regions. To investigate whether these two habitats support equal levels of diversity (i.e., equal numbers of species), they captured fish at 15 locations along a river. At each location, they recorded the number of species captured in a riffle and the number captured in an adjacent pool. The following table contains the data.1 Construct a 90% confidence interval for the difference in mean diversity between the types of habitats. Location Pool Riffle Difference 1 6 3 3 6 3 3 3 3 3 4 8 4 4 2 6 2 2 7 6 2 4 8 7 2 9. 1 2 1 10 3 2 11 4 3 1 12 5 4 13 4 1 14 2 15 4 3 1 Mean 4.7 2.5 2.2
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