Problem 1.88
Hummingbirds and flowers. 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. Here are data on the lengths in millimeters of three varieties of these flowers on the island of Dominica:33 H. bihai 47.12 46.75 46.81 47.12 46.67 47.43 46.44 46.64 48.07 48.34 48.15 50.26 50.12 46.34 46.94 48.36 H. caribaea red 41.90 42.01 41.93 43.09 41.47 41.69 39.78 40.57 39.63 42.18 40.66 37.87 39.16 37.40 38.20 38.07 38.10 37.97 38.79 38.23 38.87 37.78 38.01 H. caribaea yellow 36.78 37.02 36.52 36.11 36.03 35.45 38.13 37.1 35.17 36.82 36.66 35.68 36.03 34.57 34.63 Make boxplots to compare the three distributions. Report the five-number summaries along with your graph. What are the most important differences among the three varieties of flowers?

Step-by-Step Solution:
Step 1 of 3
STA 4202/5125/5206 Solution for Assignment # 1 Solution to Problem #1 (A) Assume equal variance; small sample sizes H 0 μ1– μ2= 0 H A μ1– μ2≠ 0 (two-sided) Pooled sample variance: (n1− 1 s 1 n − 2 s ) 2 (10 − 1 19.5 + 12 − 1 12.5 175.5 + 137.5 Sp = = = = 15.65 n1+ n 2 2 10 + 12 − 2 20 Sp = √15.65 = 3.956 Test Statistic: (̅1− ̅̅2 − D 0 (77.5 − 65.9 − 0 11.6 t0= = = = 6.848 Sp√ 1 + 1 √ 1 1 1.694 n1 n2 3.956 10 + 12 Degrees of Freedom: DF = n +1n –22 = 10 + 12 – 2 = 20 Rejection Region for α=0.01: We will reject the

The answer to “Hummingbirds and flowers. 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. Here are data on the lengths in millimeters of three varieties of these flowers on the island of Dominica:33 H. bihai 47.12 46.75 46.81 47.12 46.67 47.43 46.44 46.64 48.07 48.34 48.15 50.26 50.12 46.34 46.94 48.36 H. caribaea red 41.90 42.01 41.93 43.09 41.47 41.69 39.78 40.57 39.63 42.18 40.66 37.87 39.16 37.40 38.20 38.07 38.10 37.97 38.79 38.23 38.87 37.78 38.01 H. caribaea yellow 36.78 37.02 36.52 36.11 36.03 35.45 38.13 37.1 35.17 36.82 36.66 35.68 36.03 34.57 34.63 Make boxplots to compare the three distributions. Report the five-number summaries along with your graph. What are the most important differences among the three varieties of flowers?” is broken down into a number of easy to follow steps, and 145 words. Since the solution to 1.88 from 1 chapter was answered, more than 329 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1.88 from chapter: 1 was answered by , our top Statistics solution expert on 01/03/18, 09:20PM. This textbook survival guide was created for the textbook: Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card, edition: 8. This full solution covers the following key subjects: . This expansive textbook survival guide covers 17 chapters, and 1719 solutions. Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card was written by and is associated to the ISBN: 9781464158933.