It has been hypothesized that that the threespine stickback fish is more likely to mate with a member of the opposite sex that is similar in size, rather than with fish that are different in size (McKinnon et al. 2004). Mating preference was measured in nine different populations. Preference was measured as an index that was zero if there was no preference for mating by size, positive if there was a preference for fish of different size, and negative is there was a preference for fish of the same size. The indices for the nine populations were as follows: -32.0, -29.8, -40.6, -90.8, -29.2, -28.8, -78.4, -59.2, -74.3 Assuming normality, test the hypothesis that, on average, fish show no preference for mating by size.
It has been hypothesized that that the threespine stickback fish is more likely to mate with a member of the opposite sex that is similar in size, rather than with fish that are different in size (McKinnon et al. 2004). Mating preference was measured in nine different populations. Preference was measured as an index that was zero if there was no preference for mating by size, positive if there was a preference for fish of different size, and negative is there was a preference for fish of the same size. The indices for the nine populations were as follows: -32.0, -29.8, -40.6, -90.8, -29.2, -28.8, -78.4, -59.2, -74.3 Assuming normality, test the hypothesis that, on average, fish show no preference for mating by size.
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Transcribed Image Text:The indices for the nine populations were as follows:
-32.0, -29.8, -40.6, -90.8, -29.2, -28.8, -78.4, -59.2, -74.3
Test the hypothesis that, on average, fish show no preference for mating by
size.
t Table
cum. prob
one-tail
two-tails
Sum:
n:
Mean:
Y
-32.0
-29.8
-40.6
-90.8
-29.2
-28.8
-78.4
-59.2
-74.3
-463.1
9
-51.46
Y^2
1024.00
888.04
1648.36
8244.64
852.64
829.44
6146.56
3504.64
5520.49
28659
S =
Σ(Y²)-n(Y²)
n-1
Y-μο
t = df=
s/√n
=n-1
t.50
t.75
t.85
t.90
t 95
t.975
t.99
t.995
t.999
t.9995
0.10
0.05
0.025
0.01 0.005 0.001 0.0005
0.10 0.05
0.02
0.01 0.002 0.001
6
1.943
2.447
3.143
t,80
0.50 0.25 0.20 0.15
1.00 0.50 0.40 0.30 0.20
0.000 0.718 0.906 1.134 1.440
7 0.000 0.711 0.896 1.119 1.415 1.895 2.365 2.998
8 0.000 0.706 0.889 1.108 1.397 1.860 2.306 2.896
9 0.000 0.703 0.883 1.100 1.383 1.833 2.262 2.821
10 0.000 0.700 0.879 1.093 1.372 1.812 2.228 2.764
3.707 5.208
3.499 4.785
3.355 4.501
3.250
4.297
3.169 4.144
5.959
5.408
5.041
4.781
4.587
Transcribed Image Text:It has been hypothesized that that the threespine stickback fish is
more likely to mate with a member of the opposite sex that is
similar in size, rather than with fish that are different in size
(McKinnon et al. 2004).
Mating preference was measured in nine different populations.
Preference was measured as an index that was zero if there was
no preference for mating by size, positive if there was a preference
for fish of different size, and negative is there was a preference for
fish of the same size.
The indices for the nine populations were as follows:
-32.0, -29.8, -40.6, -90.8, -29.2, -28.8, -78.4, -59.2, -74.3
Assuming normality, test the hypothesis that, on average, fish
show no preference for mating by size.
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