I am totally stuck on this question. Any help is appreciated. Thanks in advance.

Question

I am totally stuck on this question. Any help is appreciated. Thanks in advance. Di fferent varieties of the tropical flower Heliconia are fertilized by di fferent 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 (mm) of three randomly selected varieties of these flowers on the island of Dominica. 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 39.63 38.10 42.01 42.18 37.97 41.93 40.66 38.79 43.09 37.87 38.23 41.47 39.16 38.87 39.78 38.20 38.01 40.57 38.07 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 34.6 Do the mean lengths of Heliconia flowers differ?

Explanation / Answer

Mean of H. bihai = 47.5975 Mean of H. caribaea red = 39.8245 Mean of H. caribaea yellow= 36.178 At this point, your decision-- do the means differ?-- depends onthe level of the course you are taking: (a) If you have yet to cover ANOVA, your answer is YES, themeans differ! (b) If you have covered ANOVA, let me know, and I will run the fullanalysis. (BTW: ANOVA= analysis of variance; it is usually taught in, e.g.,intermediate undergraduate courses. It is quite detailed.)

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