Different varieties of the tropical flower Heliconia arefertilized by different species of hummingbirds. Over time, thelengths of the flowers and the form of the hummingbirds' beaks haveevolved to match each other. Here are data on the lengths inmillimeters of three varieties of these flowers on the island ofDominica. data332.dat

Do a complete analysis that includes description of the data anda significance test to compare the mean lengths of the flowers forthe three species. (Round your answers for x to four decimalplaces, s to three decimal places, and s_(x^^\_) to three decimalplaces. Round your test statistic to two decimal places. Round yourP-value to three decimal places.)

flower type n x^^\_ s s_(x^^\_)

H. bihai

H. caribaea red H.

caribaea yellow

F =

P =

variety lengthbihai  49.62bihai  46.47bihai  48.14bihai  47.49bihai  47.82bihai  47.48bihai  48.03bihai  46.99bihai  46.57bihai  51.08bihai  45.65bihai  49.78bihai  49.14bihai  47.77bihai  46.91bihai  47.77red   37.12red   41.89red   38.85red   39.33red   40.72red   40.37red   41.27red   41.67red   39.5red   41.93red   41.09red   42.74red   40.78red   39.27red   40.42red   41.52red   40.6red   38.67red   37.94red   41.86red   37.44red   42.01red   40.62yellow 35.07yellow 36.23yellow 34.55yellow 36.56yellow 35.33yellow 36.96yellow 36.23yellow 33.76yellow 34.25yellow 35.41yellow 35.25yellow 37.49yellow 35.04yellow 37.48yellow 37.15