Question

Eggs produced by a certain breed of hen have a mean weight of 65000 milligrams. A large egg supplier samples 25,000 of this breed's eggs from their stock. This sample of eggs is found to have a mean weight of 64900 milligrams. Although the difference in means is fairly small, the results are determined to be statistically significant. The most likely explanation is

	a.	that the sample size is very large.
	b.	that the mean of 65000 milligrams is very large.
	c.	that the hens are severely malnourished.
	d.	all of the above.

Answer 1

The most likely explanation is that the sample size is very large.

Hence option a is correct.

This is because with large sample you are virtually certain to see statistically significant result. With large samples you are less likely to see result that reflects randomness that is the likelihood of obtaining statistical significant result increases as sample size increases.