The female cuckoo lays her eggs into the nests of foster parents. The foster parents are usually deceived, probably because of the similarity in the sizes of the eggs. Lengths of cuckoo eggs (in millimeters) found in the nests of hedge sparrows, robins, and wrens are shown below: Hedge sparrow: 22.0, 23.9, 20.9, 23.8, 25.0, 24.0, 21.7, 23.8, 22.8, 23.1, 23.1, 23.5, 23.0, 23.0 Robin: 21.8, 23.0, 23.3, 22.4, 23.0, 23.0, 23.0, 22.4, 23.9, 22.3, 22.0, 22.6, 22.0, 22.1, 21.1, 23.0 Wren: 19.8, 22.1, 21.5, 20.9, 22.0, 21.0, 22.3, 21.0, 20.3, 20.9, 22.0, 20.0, 20.8, 21.2, 21.0 It is believed that the size of the egg influences the female cuckoo in her selection of foster parents. Does the data support this hypothesis? Test whether or not the mean lengths of cuckoo eggs found in the nests of the three foster-parent species are the same. (Here, don’t forget to check each of the underlying ‘assumptions.’)

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The female cuckoo lays her eggs into the nests of foster parents. The foster parents are usually deceived,
probably because of the similarity in the sizes of the eggs. Lengths of cuckoo eggs (in millimeters)
found in the nests of hedge sparrows, robins, and wrens are shown below:
Hedge sparrow: 22.0, 23.9, 20.9, 23.8, 25.0, 24.0, 21.7, 23.8, 22.8, 23.1, 23.1, 23.5, 23.0, 23.0
Robin: 21.8, 23.0, 23.3, 22.4, 23.0, 23.0, 23.0, 22.4, 23.9, 22.3, 22.0, 22.6, 22.0, 22.1, 21.1, 23.0
Wren: 19.8, 22.1, 21.5, 20.9, 22.0, 21.0, 22.3, 21.0, 20.3, 20.9, 22.0, 20.0, 20.8, 21.2, 21.0
It is believed that the size of the egg influences the female cuckoo in her selection of foster parents.
Does the data support this hypothesis? Test whether or not the mean lengths of cuckoo eggs found
in the nests of the three foster-parent species are the same. (Here, don’t forget to check each of the
underlying ‘assumptions.’)

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