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16. Different varieties of the tropical flower Heliconia are fertilized by diffe

ID: 3058051 • Letter: 1

Question

16. Different varieties of the tropical flower Heliconia are fertilized by different species of hummingbirds. Over time, the lengths of the flowers and the form of the hummingbirds' beaks have evolved to match each other. We measure the lengths (in mm) of two varieties of these flowers on the island of Dominica. Some summary statistics are shown below Variety Caribaea Red (Xi) Caribaea Yellow (X2) Sample Size Sample Mean Sample Variance 17 12 42.7 38.6 5.8 2.6 We would like to construct a confidence interval to estimate the difference in the mean lengths for the two varieties. The standard error of the estimate X1 - X2 is (A) 0.747 (B) 1.796 (C) 0.799 (D) 1.594 (E) depends on the confidence level

Explanation / Answer

16. Different varieties of the tropical flower Heliconia are fertilized by different species of hummingbirds. Over time, the lengths of the flowers and the form of the hummingbirds' beaks have evolved to match each other. We measure the lengths (in mm) of two varieties of these flowers on the island of Dominica. Some summary statistics are shown below Variety Caribaea Red (Xi) Caribaea Yellow (X2) Sample Size Sample Mean Sample Variance 17 12 42.7 38.6 5.8 2.6 We would like to construct a confidence interval to estimate the difference in the mean lengths for the two varieties. The standard error of the estimate X1 - X2 is (A) 0.747 (B) 1.796 (C) 0.799 (D) 1.594 (E) depends on the confidence level

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