Cow-Humongous has developed a feed additive to promote weight gain in cows. The development team gathered data on 77 cows and calculated a 95% confidence interval for the mean weight gain to be between 45 and 67 pounds. The marketing department wants to develop an ad campaign using these results.

Which of the following statements correctly interprets the confidence interval?

A) The company is 95% confident that the true mean weight gain that the additive would produce in all cows in the population would be between 45 and 67 pounds.

B) The company is 95% confident that in the population, 95% of all cows would have a mean weight gain of 45 to 67 pounds if fed the additive.

C) The company is 95% confident that 95% of the time, the true mean amount of weight that any group of 77 cows fed the additive would gain would be between 45 and 67 pounds.

D) The company is 95% confident that there is a 95% chance that any given cow that is fed this additive will gain between 45 and 67 pounds.

E) The company is 95% confident that 95% of the 77 cows studied gained between 45 and 67 pounds when fed the additive.