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. data270.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 46.03
bihai 46.88
bihai 46.05
bihai 46.39
bihai 46.64
bihai 47.8
bihai 48.39
bihai 50.17
bihai 49.42
bihai 45.49
bihai 48.21
bihai 48.49
bihai 49.15
bihai 48.56
bihai 49.89
bihai 48.64
red 39.27
red 39.53
red 36.88
red 40.73
red 39.89
red 42.68
red 39.37
red 39.75
red 40.78
red 38.62
red 39.99
red 41.64
red 36.36
red 41.08
red 41.34
red 40.33
red 43.3
red 39.92
red 39.35
red 39.35
red 39.2
red 40.02
red 38.39
yellow 36.66
yellow 35.03
yellow 35.19
yellow 36.67
yellow 36.28
yellow 34.84
yellow 35.08
yellow 36.75
yellow 35.51
yellow 36.17
yellow 36.43
yellow 37.23
yellow 35.76
yellow 36.52
yellow 37.66