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.  Please perform an ANOVA using all of the steps presented  on your practice problem assignment.  (null in word, alternative in words, null in symbols, alternative in symbols, critical region ,  all steps in the analysis computing your test statistic including SS analysis,  df analysis, MS values, and F-ratio, make a decision, and give a conclusion).  Do not skip around in the steps. Provide steps in an orderly steps by step manner.

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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. 

Please perform an ANOVA using all of the steps presented  on your practice problem assignment.  (null in word, alternative in words, null in symbols, alternative in symbols, critical region ,  all steps in the analysis computing your test statistic including SS analysis,  df analysis, MS values, and F-ratio, make a decision, and give a conclusion). 

Do not skip around in the steps. Provide steps in an orderly steps by step manner.

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