State the hypotheses. Ho: All the means are equal. H: At least one mean is different from the others. 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 s 0.10, reject Interpret the results. At the 10% significance level, there is at least one of the mean length of cuckoo bird's eggs is different Ho. evidence to show that when put into different nest

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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
23.61
22.72
21.69
20.79
22.73
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
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
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Pied Wagtail
Wren
Wren
23.88
22.92
21.95
Wren
Wren
Wren
23.53
24.21
22.49
22.15
23.21
22.32
23.59
23.41
23.86
24.17
22.55
24.73
25.12
23.61
21.52
23.44
21.98
22.65
24.2
23.17
23.29
22.85
22.17
21.58
23.27
22.2
23.93
21.31
22.44
22.68
22.54
22.3
22.48
22.44
20.44
22.44
23.02
21.77
23.35
25.06
20.75
22.39
23.84
23.11
22.74
23.03
24.68
22.18
20.31
22.92
22.12
24.24
20.44
22.15
Wren
Wren
Wren
Wren 21.02
Wren
21.33
Wren
21.92
Wren
20.85
Wren
21.71
Wren
20.15
Wren
21.32
21.09
20.73
21.18
21.06
21.25
21.42
State the hypotheses.
Ho: All the means are equal.
H: At least one mean is different from the others. V✓ or
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-values 0.10, reject
✓✓ Ho-
Interpret the results.
At the 10% significance level, there is
V✔ evidence to show that
o
at least one of the mean length of cuckoo bird's eggs is different ✓✓o 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 23.61 22.72 21.69 20.79 22.73 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 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 Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Pied Wagtail Wren Wren 23.88 22.92 21.95 Wren Wren Wren 23.53 24.21 22.49 22.15 23.21 22.32 23.59 23.41 23.86 24.17 22.55 24.73 25.12 23.61 21.52 23.44 21.98 22.65 24.2 23.17 23.29 22.85 22.17 21.58 23.27 22.2 23.93 21.31 22.44 22.68 22.54 22.3 22.48 22.44 20.44 22.44 23.02 21.77 23.35 25.06 20.75 22.39 23.84 23.11 22.74 23.03 24.68 22.18 20.31 22.92 22.12 24.24 20.44 22.15 Wren Wren Wren Wren 21.02 Wren 21.33 Wren 21.92 Wren 20.85 Wren 21.71 Wren 20.15 Wren 21.32 21.09 20.73 21.18 21.06 21.25 21.42 State the hypotheses. Ho: All the means are equal. H: At least one mean is different from the others. V✓ or 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-values 0.10, reject ✓✓ Ho- Interpret the results. At the 10% significance level, there is V✔ evidence to show that o at least one of the mean length of cuckoo bird's eggs is different ✓✓o when put into different nests.
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