The female cuckoo lays her eggs in other birds’ nests. The “foster parents” are usually deceived,...
The female cuckoo lays her eggs in other birds’ nests. The “foster parents” are usually deceived, probably because of the similarity in sizes of their own eggs and cuckoo eggs. On study investigated this rationale and measured the lengths of cuckoo eggs (in millimeters) that were found in the nests of three species. Data follows.
|
Hedge Sparrow |
22.0 |
23.0 |
20.9 |
23.8 |
25.0 |
|
24.0 |
21.7 |
23.8 |
22.8 |
23.0 |
|
|
23.1 |
23.5 |
23.0 |
23.0 |
||
|
Robin |
21.8 |
23.0 |
23.3 |
22.4 |
23.0 |
|
23.0 |
23.0 |
22.4 |
23.9 |
22.3 |
|
|
22.0 |
22.6 |
22.0 |
22.1 |
21.1 |
|
|
23.0 |
|||||
|
Wren |
19.8 |
22.1 |
21.5 |
20.9 |
22.0 |
|
21.0 |
22.3 |
21.0 |
20.3 |
20.9 |
|
|
22.0 |
20.0 |
20.8 |
21.2 |
21.0 |
a. Create a boxplot that compares the three groups on the basis of egg lengths.
b. Construct an ANOVA table by hand to test the equality of the three means. Test at the 0.05 level of significance. Then confirm with Minitab showing steps.
c. Use Tukey’s pairwise test procedure to compare the three means.
d. Examine the residuals and comment on the appropriateness of the model.
Homework Answers
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The female cuckoo lays her eggs in other birds’ nests. The
“foster parents” are usually deceived,...
Cuckoos lay their eggs in the nests of other (host) birds. The eggs are then adopted...
Cuckoos lay their eggs in the nests of other (host) birds. The eggs are then adopted and hatched by the host birds. But the potential host birds lay eggs of different sizes. Does the cuckoo change the size of her eggs for different foster species? The data set given below contains the lengths (in mm) of cuckoo eggs found in nests of three different species of birds. Use a Kruskal-Wallis test to decide whether cuckoos really do adjust the size...
Cuckoos lay their eggs in the nests of other (host) birds. The eggs are then adopted and hatched by the host birds. But the potential host birds lay eggs of different sizes. Does the cuckoo change the size of her eggs for different foster species? The data set given below contains the lengths (in mm) of cuckoo eggs found in nests of three different species of birds. Use a Kruskal-Wallis test to decide whether cuckoos really do adjust the size...
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