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2. One possible explanation for why some birds migrate and others maintain year

ID: 3393470 • Letter: 2

Question

2. One possible explanation for why some birds migrate and others maintain year round residency in a single location is intelligence. Specifically, birds with smaller brain, relative to their body size, are not simply smart enough to find food during the winter and must migrate to warmer climates where food is easily available. 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 results. The numbers represent relative brain size for the individual birds in each sample.                                                                                                          10 points

Non-Migrating

Short-Distance Migrants

Long Distance Migrants

18

6

4

13

11

9

19

7

5

N = 18

12

9

6

G = 180

16

8

5

X2 = 2150

12

13

7

M = 15

M = 9

M = 6

T = 90

T = 54

T = 36

SS = 48

SS = 34

SS = 16

Determine whether there are any significant differences among the three groups of birds.

Compute the effect size for these data.

Non-Migrating

Short-Distance Migrants

Long Distance Migrants

18

6

4

13

11

9

19

7

5

N = 18

12

9

6

G = 180

16

8

5

X2 = 2150

12

13

7

M = 15

M = 9

M = 6

T = 90

T = 54

T = 36

SS = 48

SS = 34

SS = 16

Explanation / Answer

here we go for one way of anova

there are significant differences among the three groups of birds as p value is less than 0.05

ANOVA source df SS MS F P between group 2 180 90 7.941176 0.004445 within group 15 170 11.33333 total 17 350
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