1) Many species of lizards can break off their tail when attacked by predators. A herpetologist hypothesizes that lizards that have lost their tail can sprint faster than those that have a tail. To test this idea the herpetologist collects 8 adult Tokay geckos and records their maximum sprinting speed (centimeters per second) before and after surgically removing the tail. The results of such experiment are reported on the following table: Subject 1 2 3 4 5 6 7 8 Average SD Before removing the tail 9.3 7.8 8.3 9.6 7.7 8.8 8.2 9.0 8.6 0.70 After removing the tail 10.2 7.7 9.2 9.4 8.5 9.5 8.7 9.4 9.1 0.76 Difference -0.9 0.1 -0.9 0.2 -0.8 -0.7 -0.5 -0.4 -0.49 0.43 Using this dataset conduct a hypothesis test for the herpetologist's prediction. OF

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Author:Amos Gilat
Publisher:Amos Gilat
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Can someone explain how these numbers were obtained, the ones circles in orange? Trying to practice the problem for an exam
pecies of lizards can break off their tai! when attacked by predators. A herpetologist
zes that lizards that have lost their tail can sprint faster than those that have a tail. To
idea the herpetologist collects 8 adult Tokay geckos and records their maximum
speed (centimeters per second) before and after surgically removing the tail. The
such experiment are reported on the following table:
ect
B
rage
D
Before removing the tail
9.3
7.8
8.3
9.6
7.7
8.8
bart
8.2
9.0
8.6
0.70
After removing the tail
10.2
7.7
9.2
9,4
8.5
9.5
8.7
9.4
n = 8
df = 8-1=7
9.1
0.76
α=0.05
Difference
-0.9
0.1
-0.9
this dataset conduct a hypothesis test for the herpetologist's prediction.
0.2
-0.8
-0.7
-0.5
-0.4
-0.49
0.43
t = X₂=²₂
sd/ind
n = 8
-3.22
DATE:
H₂ MO
HMSO
t=-3.22 4
-0.49-0
0.43√√8
1
-3.22
af = 7, one-tail
0.00625 Lp 20.0083
Reject Ho
Transcribed Image Text:pecies of lizards can break off their tai! when attacked by predators. A herpetologist zes that lizards that have lost their tail can sprint faster than those that have a tail. To idea the herpetologist collects 8 adult Tokay geckos and records their maximum speed (centimeters per second) before and after surgically removing the tail. The such experiment are reported on the following table: ect B rage D Before removing the tail 9.3 7.8 8.3 9.6 7.7 8.8 bart 8.2 9.0 8.6 0.70 After removing the tail 10.2 7.7 9.2 9,4 8.5 9.5 8.7 9.4 n = 8 df = 8-1=7 9.1 0.76 α=0.05 Difference -0.9 0.1 -0.9 this dataset conduct a hypothesis test for the herpetologist's prediction. 0.2 -0.8 -0.7 -0.5 -0.4 -0.49 0.43 t = X₂=²₂ sd/ind n = 8 -3.22 DATE: H₂ MO HMSO t=-3.22 4 -0.49-0 0.43√√8 1 -3.22 af = 7, one-tail 0.00625 Lp 20.0083 Reject Ho
1) Many species of lizards can break off their tail when attacked by predators. A herpetologist
hypothesizes that lizards that have lost their tail can sprint faster than those that have a tail. To
test this idea the herpetologist collects 8 adult Tokay geckos and records their maximum
sprinting speed (centimeters per second) before and after surgically removing the tail. The
results of such experiment are reported on the following table:
Subject
1
2
7
8
Average
SD
Before removing the tail
9.3
7.8
8.3
9.6
7.7
8.8
8.2
9.0
8.6
0.70
After removing the tail
10.2
7.7
9.2
9.4
8.5
9.5
8.7
9.4
9.1
0.76
Difference
-0.9
0.1
-0.9
0.2
-0.8
-0.7
-0.5
-0.4
-0.49
0.43
Using this dataset conduct a hypothesis test for the herpetologist's prediction.ouse
Qua of
Transcribed Image Text:1) Many species of lizards can break off their tail when attacked by predators. A herpetologist hypothesizes that lizards that have lost their tail can sprint faster than those that have a tail. To test this idea the herpetologist collects 8 adult Tokay geckos and records their maximum sprinting speed (centimeters per second) before and after surgically removing the tail. The results of such experiment are reported on the following table: Subject 1 2 7 8 Average SD Before removing the tail 9.3 7.8 8.3 9.6 7.7 8.8 8.2 9.0 8.6 0.70 After removing the tail 10.2 7.7 9.2 9.4 8.5 9.5 8.7 9.4 9.1 0.76 Difference -0.9 0.1 -0.9 0.2 -0.8 -0.7 -0.5 -0.4 -0.49 0.43 Using this dataset conduct a hypothesis test for the herpetologist's prediction.ouse Qua of
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