A researcher wants to see if birds that build larger nests lay larger eggs. She selects two random samples of nests: one of small nests and the other of large nests. Then she weighs one egg (chosen at random if there is more than one egg) from each nest. A 95% confidence interval for the difference (Large - Small) between the mean mass (in grams) of eggs in small and large nests is 1.6 ± 2.0.
Does the interval provide convincing evidence of a difference in the true mean egg mass of birds with small nests and birds with large nests? Explain your answer.
O No, the interval does not include a difference of 0 (no difference) as a plausible value.
O No, because the interval includes a difference of 0 (no difference) as a plausible value.
O Yes, because random samples were selected.
O Yes, because the interval includes a difference of 0 (no difference) as a plausible value.
