A researcher is studying the hatching Yellow Bellied Sapsuckers. She has a study group of 40 eggs. A similar study has shown that the eggs' hatching times should have a mean of 42 days and a variance of 9 days. Her thesis advisor has suggested that the distribution of hatching times will have the same shape as that of the Purple Throated Tree-tappers, which is "mound-shaped." If the researcher is willing to assume that her advisor is correct, how may eggs will have hatching times between 36 and 48 days?
- approximately 55%, or around 22 eggs
- approximately 68%, or around 27 eggs
- approximately 75%, or around 30 eggs
- approximately 95%, or around 38 eggs
- almost all of the eggs