Livestock are given a special feed supplement to see if it will promote weight gain. Researchers report that the 77 cows studied gained an average of 56pounds, and that a95% confidence interval for the mean weight gain this supplement produces has a margin of error of 11 pounds. Some students wrote the following conclusions. Did anyone interpret the intervalcorrectly? Explain any misinterpretations. Complete parts a through e below. a) 95% of the cows studied gained between 45 and 67 pounds.

Is this a correct interpretation of the confidenceinterval? Choose the correct answer below.

A.

The interpretation is incorrect. The confidence interval is for the populationmean, not the individual cows in the study.

B.

The interpretation iscorrect, assuming all conditions and assumptions are met.

C.

The interpretation is incorrect.100% of the cows studied gained between 45 and 67 pounds.

D.

The interpretation is incorrect. The confidence interval estimates the samplemean, not the population mean.