Q 106. Researchers from Amherst College... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 1: Q 106. (page 73)

Researchers from Amherst College studied the relationship between varieties of the tropical flower Heliconia on the island of Dominica and the different species of hummingbirds that fertilize the flowers. $45$ Over time, the researchers believe, the lengths of the flowers and the forms of the hummingbirds鈥� beaks have evolved to match each other. If that is true, flower varieties fertilized by different hummingbird species should have distinct distributions of length. The table below gives length measurements (in millimeters) for samples of three varieties of Heliconia, each fertilized by a different species of hummingbird. Do these data support the researchers鈥� belief? Follow the four-step process

Short Answer

Expert verified

Yes, the researcher's belief is correct.

Step by step solution

Given information

The data to support the researcher's belief is in below picture:

H. Bihari
47.12	46.75	46.80	47.12	46.67	47.43	46.44	46.64
48.07	48.34	48.15	50.26	50.12	46.34	46.34	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	37.38	38.01

H. caribaea yellow
36.78	37.02	36.52	36.11	36.03	35.45	38.13	37.10
35.17	36.82	36.66	35.68	36.03	34.57	34.63

Part (a) Step 2: Concept

Data analysis is the systematic application of statistical and/or logical tools to explain and show, condense and recap, and appraise data.

Explanation

An $X$ is used to represent outliers. The quartiles' bounds have been drawn in the box, and a line has been drawn at the median. The whiskers represent the data points' minimum and maximum values (that are not outliers). The top boxplot is H. bihai, the middle boxplot is H. caribaea red, and the bottom boxplot is H. caribaea yellow.

Because the H.bihai is substantially longer than the other species, and the H. caribaea red is generally longer than the H. caribaeayellow, the researchers' hypothesis appears to be valid. Therefore, the researchers鈥� belief seems to be correct.