Different varieties of the tropical flower Heliconia are fertilized by different species of hummingbirds. Researchers believe that over time, the lengths of the flowers and the forms of the hummingbirds’ beaks have evolved to match each other. Here are data on the lengths in millimeters for random samples of two color varieties of the same species of flower on the island of Dominica:

a. A dotplot of the data is shown, along with summary statistics. Write a few sentences comparing the distributions.

b. Construct and interpret a 95% confidence interval for the difference in the true mean lengths of these two varieties of flowers.

Transcribed Image Text:

H. caribaea red 41.90 42.01 41.93 43.09 41.17 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 37.78 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