One possible explanation for why some bird’s migration 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 the winter and must migrate to warmer climates where food is easily available (Sol, Lefebvre, & Rodriguez- Teijeiro, 2015). Birds with bigger brain 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 Migrates Long Distance Migrates   18 6 4   13 11 9 N= 18 19 7 5 G= 180 12 9 6 x²= 2150 16 8 5   12 13 7           M= 15 M= 9 M= 6   T= 90 T= 54 T= 36   SS= 48 SS= 34 SS= 16   a) Use an ANOVA with = .05 to determine whether there are any significant mean differences among the three groups of birds. c) Use the Tukey HSD post-test to determine

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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One possible explanation for why some bird’s migration 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 the winter and must migrate to warmer climates where food is easily available (Sol, Lefebvre, & Rodriguez- Teijeiro, 2015). Birds with bigger brain 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 Migrates

Long Distance Migrates

 

18

6

4

 

13

11

9

N= 18

19

7

5

G= 180

12

9

6

= 2150

16

8

5

 

12

13

7

 

 

 

 

 

M= 15

M= 9

M= 6

 

T= 90

T= 54

T= 36

 

SS= 48

SS= 34

SS= 16

 

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

c) Use the Tukey HSD post-test to determine which groups are significantly different

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