Ethan Temeles of Amherst College, with his colleague W. John Kress, studied the

Question

Ethan Temeles of Amherst College, with his colleague W. John Kress, studied the relationship between varieties of the tropical flower Heliconia on the island of Dominica and the different species of hummingbirds that fertilize the flowers.^1 Over time, the researchers believe, the lengths of the flowers and the form of the hummingbirds rsquo beaks have evolved to match each other. If that is true, flower varieties fertilized by different hummingbird species should have distinct distributions of length. Table 25.1 gives length measurements (in millimeters) for samples of three varieties of Heliconia, each fertilized by a different species of hummingbird. Do the three varieties display distinct distributions of length? In particular, are the average lengths of their flowers different? perform an ANOVA test, explaining every.

Explanation / Answer

H0: There is no difference between three means

H1: Atleast one treatment mean is not same

alpha:5%

Test statistic:

From EXCEL

F cal=259.11

Conclusion:

P value=0.000000< 0.05 we reject the null hypothesis hence the claim is signifiacnt

Anova: Single Factor SUMMARY Groups Count Sum Average Variance bihai 16 761.56 47.5975 1.471073 red 23 913.36 39.7113 3.235548 yellow 15 542.7 36.18 0.951257 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1082.872 2 541.4362 259.1193 1.92E-27 3.178799 Within Groups 106.5658 51 2.089525 Total 1189.438 53

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