Question

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. data245.dat Do a complete analysis that includes description of the data and a significance test to compare the mean lengths of the flowers for the three species. (Round your answers for x to four decimal places, s to three decimal places, and s_(x^^\_) to three decimal places. Round your test statistic to two decimal places. Round your P-value to three decimal places.) flower type n x^^\_ s s_(x^^\_) H. bihai H. caribaea red H. caribaea yellow

F =

P =

variety length
bihai   47.46
bihai   48.34
bihai   48.26
bihai   45.86
bihai   47.67
bihai   49.07
bihai   49.21
bihai   47.89
bihai   47.92
bihai   48.59
bihai   46.56
bihai   47.56
bihai   49.63
bihai   47.88
bihai   49.34
bihai   46.83
red     39.17
red     38.43
red     40.45
red     40.73
red     41.76
red     39.15
red     39.27
red     41.55
red     41.03
red     41.93
red     41.13
red     39.52
red     39.57
red     41.84
red     40.28
red     34.8
red     39.65
red     41.25
red     39.46
red     38.14
red     41.74
red     41.58
red     40.68
yellow  36.3
yellow  35.48
yellow  36.45
yellow  35.47
yellow  37.02
yellow  34.96
yellow  37.45
yellow  35.5
yellow  36.5
yellow  38
yellow  35.63
yellow  35.22
yellow  37.12
yellow  35.64
yellow  37.01

Answer 1

The statistical software output for this problem is:

Hence,

The required table will be:

Variety	n		s
Bihai	16	48.0044	1.041	0.260
Red	23	40.1352	1.632	0.340
Yellow	15	36.2500	0.917	0.237

F = 333.28

P = 0.000