The following data consists of the lengths in mm of cuckoo's eggs found in nests belonging to

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The following data consists of the lengths in mm of cuckoo's eggs found in nests belonging to the dunnock and to the reed warbler:

Dunnock 22.0 23.9 20.9 23.8 25.0 24.0 21.7 23.8 22.8 23.1 Reed warbler 23.2 22.0 22.2 21.2 21.6 21.9 22.0

Investigate the difference θ between these lengths without making any particular assumptions about the variances of the two populations, and in particular give an interval in which you are 90% sure that it lies.

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