In: Statistics and Probability
Anova
5) The data below gives the lengths in millimeters of three varieties of the tropical flower Heliconia, which are fertilized by different species of a hummingbird on the island of Dominica. Perform an Anova test to compare the means lengths of the flowers for the three species.
|
H. bihai |
H. caribaea red |
H. caribaea yellow |
|
46.8 |
37.8 |
34.5 |
|
46.4 |
37.4 |
35.7 |
|
46.9 |
38 |
35 |
|
47.4 |
38.9 |
36.5 |
|
48.4 |
38 |
36.7 |
|
48 |
41.5 |
36 |
|
50.2 |
41.9 |
37 |
|
a. State the null and alternative hypothesis |
|
|
b. Give the p-value |
|
|
c. Give a conclusion for the hypothesis test |