Cuckoo birds are in the habit of laying their eggs in other birds' nest. The other birds adopt and hatch the eggs. The lengths (in cm) of cuckoo birds' eggs in the other species nests were measured and are in the table. Do the data show that the mean length of cuckoo bird's eggs is not all the same when put into different nests? Test at the 10% level. Lengths of Cuckoo Bird Eggs in Different Species Nests Number 23.77 23.88 24.09 Bird Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow | Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow 22.67 Robin 22.76 Robin 22.53 Robin 22.66 Robin 22.17 23.29 22.45 22.8 22.08 22.52 21.68 22.15 22.15 Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren 22.84 22.21 21.18 23.62 23.5 22.02 State the hypotheses Ho: Select an answer H: Select an answer 23.11 23.71 23.8 23.81 23.31 21.77 24.06 22.09 22.39 23.51 21.17 23.76 23.29 24.56 23.55 23.98 21.88 24.05 21.2 23.55 21.8 23.46 22.76 23.44 22.92 22.7 23.72 24.31 22.34 22.86 23.12 23.32 23.36 22.48 22.41 22.16 23.28 21.46 21.21 20.21 22.16 21.56 22.16 20.79 19.86 23.56 21.94 21.57 21.83 20.29 21.36 21 19.45 Calculate the F test statistic. Round to two decimal places. F- Calculate the p-value. Round to four decimal places. p-value- State your decision. Since p-value? V0.10, Select an answer VH- Interpret the results. At the 10% significance level, there [Select an answer evidence to show that Select an answer when put into different nests.

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Cuckoo birds are in the habit of laying their eggs in other birds' nest. The other birds adopt and hatch the
eggs. The lengths (in cm) of cuckoo birds' eggs in the other species nests were measured and are in the
table. Do the data show that the mean length of cuckoo bird's eggs is not all the same when put into
different nests? Test at the 10% level.
Lengths of Cuckoo Bird Eggs in Different Species Nests
Number
23.77
23.88
24.09
Bird
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Tree Pipit
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Hedge Sparrow
Robin
Robin
Wren
Wren
Wren
Wren
Wren
Wren
Wren
Wren
Wren
Wren
22.84
22.21
21.18
23.62
23.5
22.02
23.11
23.71
23.8
Wren
Wren
23.81
23.31
21.77
24.06
22.09
22.39
23.51
21.17
23.76
23.29
24.56
23.55
23.98
21.88
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Robin
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
22.86
Pied Wagtail 23.12
Pied Wagtail
23.32
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Wren
Wren
Wren
24.05
21.2
22.67
22.76
22.53
22.66
22.17
23.29
22.45
22.8
22.08
22.52
21.68
22.15
22.15
23.55
21.8
23.46
22.76
23.44
22.92
22.7
23.72
24.31
22.34
23.36
22.48
22.41
22.16
23.28
21.46
21.21
20.21
22.16
21.56
22.16
20.79
19.86
23.56
21.94
21.57
21.83
20.29
21.36
21
19.45
State the hypotheses.
Ho: Select an answer
H: Select an answer
Calculate the F test statistic. Round to two decimal places.
F-
Calculate the p-value. Round to four decimal places.
p-value-
State your decision.
Since p-value? V0.10, Select an answer VH-
Interpret the results.
At the 10% significance level, there [Select an answer V evidence to show that
Select an answer
V when put into different nests.
Transcribed Image Text:Cuckoo birds are in the habit of laying their eggs in other birds' nest. The other birds adopt and hatch the eggs. The lengths (in cm) of cuckoo birds' eggs in the other species nests were measured and are in the table. Do the data show that the mean length of cuckoo bird's eggs is not all the same when put into different nests? Test at the 10% level. Lengths of Cuckoo Bird Eggs in Different Species Nests Number 23.77 23.88 24.09 Bird Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Tree Pipit Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Hedge Sparrow Robin Robin Wren Wren Wren Wren Wren Wren Wren Wren Wren Wren 22.84 22.21 21.18 23.62 23.5 22.02 23.11 23.71 23.8 Wren Wren 23.81 23.31 21.77 24.06 22.09 22.39 23.51 21.17 23.76 23.29 24.56 23.55 23.98 21.88 Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Robin Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail 22.86 Pied Wagtail 23.12 Pied Wagtail 23.32 Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Wren Wren Wren 24.05 21.2 22.67 22.76 22.53 22.66 22.17 23.29 22.45 22.8 22.08 22.52 21.68 22.15 22.15 23.55 21.8 23.46 22.76 23.44 22.92 22.7 23.72 24.31 22.34 23.36 22.48 22.41 22.16 23.28 21.46 21.21 20.21 22.16 21.56 22.16 20.79 19.86 23.56 21.94 21.57 21.83 20.29 21.36 21 19.45 State the hypotheses. Ho: Select an answer H: Select an answer Calculate the F test statistic. Round to two decimal places. F- Calculate the p-value. Round to four decimal places. p-value- State your decision. Since p-value? V0.10, Select an answer VH- Interpret the results. At the 10% significance level, there [Select an answer V evidence to show that Select an answer V when put into different nests.
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