Refer to Exercise 8.S.6. What conditions are necessary for the confidence interval to be valid? Are those conditions satisfied? How do you know?
Exercise 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.

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e.3 3 0 4 3 0 4 5 1 1 1 4 1 4 1 57 3334222222313232 0. the 66385267134546441 ati 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5