Question

Egg volume. In a study examining 131 collared flycatcher eggs, researchers measured various
characteristics in order to study their relationship to egg size (assayed as egg volume, in mm3).
These characteristics included nestling sex and survival. A single pair of collared flycatchers
generally lays
around 6 eggs per breeding season; laying order of the eggs was also recorded.
(a) Is there evidence at the α = 0.10 significance level to suggest that egg size differs between
male and female chicks? If so, do heavier eggs tend to contain males or females? For male chicks,
x = 1619.95, s = 127.54, and n = 80. For female chicks, x = 1584.20, s = 102.51, and n = 48. Sex
was only recorded for eggs that hatched.
(b) Construct a 95% confidence interval for the difference in egg size between chicks that
success- fully fledged (developed capacity to fly) and chicks that died in the nest. From the
interval, is there evidence of a size difference in eggs between these two groups? For chicks that
fledged, x = 1605.87, s = 126.32, and n = 89. For chicks that died in the nest, x = 1606.91, s =
103.46, n = 42.
(c) Are eggs that are laid first a significantly different size compared to eggs that are laid
sixth? For eggs laid first, x = 1581.98, s = 155.95, and n = 22. For eggs laid sixth, x = 1659.62,
s = 124.59, and n = 20.

Answer 1