Question: Cuckoos. Cuckoos lay their eggs in the nests of other (host) birds. The eggs are then adopted and hatched by the host birds. The host birds lay their own eggs and these eggs vary in size (between the types of host birds). Do cuckoos lay different sized eggs for different types of hosts? O.M. Latter sampled bird nests in 1902 to examine the question above. Here are some of the results:

Investigate the question of whether the mean length of cuckoo eggs is the same for the different species and state your conclusions.

a) (15pts) Test the appropriate conditions and State an appropriate hypothesis test.

b) (10pts) Calculations.

c) (10pts) Conclusions.