Researchers studied the mean egg length(in millimeters) for the New Zealand bird population. After randomly sampling 54eggs, they obtained a 95% confidence interval of (38mm,53mm).

a) In the context of the problem, which of the following interpretations is correct, if any?

A. We're 95% confident that the mean length of eggs for the New Zealand bird population is between 38 mm and 53 mm.

B. 95% of all birds in New Zealand have eggs between 38 mm and 53 mm.

C. We're 95% sure that the mean length of all eggs from New Zealand birds is between 38 mm and 53 mm 95% of the time.

D. We're 95% confident that the mean length of eggs in the sample is between 38 mm and 53 mm.

E. We're 95% sure that an egg will be between 38 mm and 53 mm in length.

F. none of the above is a correct interpretation