A naturalist is studying groups of Kingfishers nesting along two stretches of a river. On the first stretch of the river which passes by several industrial plants she found 6 Kingfisher nests with sample mean 5.4 eggs per nest and sample standard deviation 1.2 eggs. On the second stretch of the river which passes through a rural area she found 8 Kingfisher nests with sample mean 6.5 eggs per nest and sample standard deviation 0.8 eggs.
(a) Find an 80% confidence interval for the difference in population mean numbers of eggs per nest.
(b) Does it seem likely that there is a difference in the population means? Explain.