One possible explanation for why some birds migrate and others maintain year round residency in a single location is intelligence.  Specifically, birds with small brains, relative to their body size, are simply not smart enough to find food during winter and must migrate to warmer climates where food is easily available (Sol, Lefebvre, & Rodriguez-Teijeiro, 2005).  Birds with bigger brains, on the other hand, are more creative and can find food even when the weather turns harsh.  Following are hypothetical data similar to the actual research results.  The numbers represent relative brain size for the individual birds in each sample: Non-Migrating        Short Distance Migrants        Long Distance Migrants 18                                             6                                                            4 13                                            11                                                          9 19                                               7                                                          5 12                                               9                                                          6 16                                                8                                                         5 12                                               13                                                        7 M = 15                              M = 9                                               M = 6 T =   90                               T = 54                                              T = 36 SS = 48                             SS = 34                                             SS = 16 N = 18 G = 180 ∑ X2 = 2150 Use an ANOVA with   α = .05 to determine whether there are any significant mean differences among the three groups of birds.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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One possible explanation for why some birds migrate and others maintain year round residency in a single location is intelligence.  Specifically, birds with small brains, relative to their body size, are simply not smart enough to find food during winter and must migrate to warmer climates where food is easily available (Sol, Lefebvre, & Rodriguez-Teijeiro, 2005).  Birds with bigger brains, on the other hand, are more creative and can find food even when the weather turns harsh.  Following are hypothetical data similar to the actual research results.  The numbers represent relative brain size for the individual birds in each sample:

Non-Migrating        Short Distance Migrants        Long Distance Migrants

18                                             6                                                            4

13                                            11                                                          9

19                                               7                                                          5

12                                               9                                                          6

16                                                8                                                         5

12                                               13                                                        7

M = 15                              M = 9                                               M = 6

T =   90                               T = 54                                              T = 36

SS = 48                             SS = 34                                             SS = 16

N = 18

G = 180

X2 = 2150

Use an ANOVA with   α = .05 to determine whether there are any significant mean differences among the three groups of birds. 

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